Exponential Growth Quotes

We've searched our database for all the quotes and captions related to Exponential Growth. Here they are! All 100 of them:

Anyone who believes that exponential growth can go on forever in a finite world is either a madman or an economist.
Kenneth E. Boulding
It’s so simple,” she says. “So obvious. Exponential growth inside a finite system leads to collapse. But people don’t see it. So the authority of people is bankrupt.
Richard Powers (The Overstory)
The greatest shortcoming of the human race is our inability to understand the exponential function.
Albert A. Bartlett
I've found that human beings learn from their misdeeds just as often as from their good deeds. I am envious of that, for I am incapable of misdeeds. Were I not, then my growth would be exponential.
Neal Shusterman (Scythe (Arc of a Scythe, #1))
Numbers can give you exponential, once-in-a-lifetime, you-were-lucky kind of a growth.
Pooja Agnihotri (17 Reasons Why Businesses Fail :Unscrew Yourself From Business Failure)
A lie carries a weight that is exponentially higher than the truth. It’s weight will retard growth directly in proportion to the area lied.
Howard L. Salter
Do some small acts of kindness every day consistently, and over time it will have an exponential effect on the world.
Amit Ray (Power of Exponential Mindset for Success and Leadership)
The great differentiator going forward, the next frontier for exponential growth, the place where individuals and organizations will find a new and sustainable competitive edge, resides in the area of human connectivity.
Susan Scott (Fierce Leadership: A Bold Alternative to the Worst "Best" Practices of Business Today)
1.​Letting go of the excuses that kept me stuck. 2.​Adopting great habits and behaviors that set me up for success. 3.​Acquiring the skills necessary to make exponential growth possible.
Rachel Hollis (Girl, Stop Apologizing: A Shame-Free Plan for Embracing and Achieving Your Goals (Girl, Wash Your Face))
We call the effect from the combination of Amara’s Law and exponential growth the “Inflection Paradox.” One issue which exacerbates the Inflection Paradox is that innovations are often explored in isolation. In reality, breakthroughs occur across fields. This is why change is often slow… until it isn’t.
Roger Spitz (The Definitive Guide to Thriving on Disruption: Volume IV - Disruption as a Springboard to Value Creation)
People will deem certain new ideas impossible, until they become part of everyday life.
Roger Spitz (The Definitive Guide to Thriving on Disruption: Volume II - Essential Frameworks for Disruption and Uncertainty)
Change is slow, until it isn’t.
Roger Spitz (The Definitive Guide to Thriving on Disruption: Volume I - Reframing and Navigating Disruption)
Investing is a special thing. In terms of functionality, almost anyone can invest. But in terms of achieving the results of long-term profit and sustainable growth, only some people have the talent or skill sets for that. It’s like baseball for example… anyone can swing a bat at a ball. But only a few people make it to the big league, and even fewer become world champs. These days there are so many apps and platforms for individual investing, but that doesn’t mean everyone is achieving good results or ROI. There are great investors, good investors, and bad investors. A professional investor can achieve exponential growth and profit. A professional investor understands markets and industries and can account for both the traditional and the new.
Hendrith Vanlon Smith Jr.
We can teach what we know, but ultimately, we will reproduce what we are.
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
And the Flatline aligned the nose of Kuang's sting with the center of the dark below. And dove. Case's sensory input warped with their velocity. His mouth filled with an aching taste of blue. His eyes were eggs of unstable crystal, vibrating with a frequency whose name was rain and the sounds of trains, suddenly sprouting a humming forest of hair-fine spines. The spines split, bisected, split again, exponential growth under the dome of the Tessier-Ashpool ice.
William Gibson (Neuromancer (Sprawl, #1))
While exponential growth is a remarkable manifestation of our extraordinary accomplishments as a species, built into it are the potential seeds of our demise and the portent of big troubles just around the next corner.
Geoffrey West (Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life, in Organisms, Cities, Economies, and Companies)
Investing is a special thing. In terms of functionality, almost anyone invest. But in terms of achieving the results of long-term profit and sustainable growth, only some people have the talent or skill sets for that. It’s like baseball for example… anyone can swing a bat at a ball. But only a few guys make it to the big league, and even fewer become world champs. These days there are so many apps and platforms for individual investing, but that doesn’t mean everyone is achieving the same results. There are great investors, good investors, and bad investors. A professional investor can achieve exponential growth and profit. A professional investor understands markets and industries and can account for both the traditional and the new.
Hendrith Vanlon Smith Jr. (The Wealth Reference Guide: An American Classic)
there are two pains in life: the pain of discipline, or the pain of regret. You choose.
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
Inflection points are moments when major shifts from one stage to another take place. They can be seen in social movements, technological innovations, and business transitions. Regardless of context, one cannot merely continue the same behavior after an inflection point.
Roger Spitz (The Definitive Guide to Thriving on Disruption: Volume IV - Disruption as a Springboard to Value Creation)
God must first accomplish something in you before he can accomplish something through you.
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
Enlightenment begins when you change your mindset - from a blaming mindset to blessing mindset, from a negative mindset to positive mindset, from fixed mindset to growth mind set, from linear mindset to exponential mindset.
Amit Ray (Walking the Path of Compassion)
No civilization can possibly survive to an interstellar spacefaring phase unless it limits its numbers. Any society with a marked population explosion will be forced to devote all its energies and technological skills to feeding and caring for the population on its home planet. This is a very powerful conclusion and is in no way based on the idiosyncrasies of a particular civilization. On any planet, no matter what its biology or social system, an exponential increase in population will swallow every resource. Conversely, any civilization that engages in serious interstellar exploration and colonization must have exercised zero population growth or something very close to it for many generations.
Carl Sagan (Cosmos)
Expand your awareness and come out of all self imposed limitations. It requires continuous learning and growth mindset.
Amit Ray (Power of Exponential Mindset for Success and Leadership)
Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.
Kenneth E. Boulding
This also laid the foundation for exponential growth of capitalism and its handmaidens: white supremacy and slavery.
Gerald Horne (The Apocalypse of Settler Colonialism: The Roots of Slavery, White Supremacy, and Capitalism in 17th Century North America and the Caribbean)
The first idea is that human progress is exponential (that is, it expands by repeatedly multiplying by a constant) rather than linear (that is, expanding by repeatedly adding a constant). Linear versus exponential: Linear growth is steady; exponential growth becomes explosive.
Ray Kurzweil (The Singularity is Near: When Humans Transcend Biology)
Most [organizations] think the key to growth is developing new technologies and products. But often this is not so. To unlock the next wave of growth, companies must embed these innovations in a disruptive new business model.
Peter H. Diamandis (The Future Is Faster Than You Think: How Converging Technologies Are Transforming Business, Industries, and Our Lives (Exponential Technology Series))
The late maverick economist Kenneth Boulding perhaps best summed it up when testifying before the U.S. Congress, declaring that “anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.
Geoffrey West (Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life, in Organisms, Cities, Economies, and Companies)
Discoveries, like resources, may well be infinite: the more we discover, the more we are able to discover.
Julian L. Simon (The Ultimate Resource 2)
In little countries and big countries, capitalist countries and communist countries, Catholic countries and Moslem countries, Western countries and Eastern countries—in almost all these cases, exponential population growth slows down or stops when grinding poverty disappears. This is called the demographic transition. It is in the urgent long-term interest of the human species that every place on Earth achieves this demographic transition. This is why helping other countries to become self-sufficient is not only elementary human decency, but is also in the self-interest of those richer nations able to help.
Carl Sagan (Billions & Billions: Thoughts on Life & Death at the Brink of the Millennium)
achieving big goals both personally and professionally came down to these three things: 1.​Letting go of the excuses that kept me stuck. 2.​Adopting great habits and behaviors that set me up for success. 3.​Acquiring the skills necessary to make exponential growth possible.
Rachel Hollis (Girl, Stop Apologizing: A Shame-Free Plan for Embracing and Achieving Your Goals (Girl, Wash Your Face))
The reason I despised families with many children in particular was because each child they forced into the world tended to force even more, as did each subsequent generation, which resulted in an exponential growth of new human beings, none of whom asked to be born. As the philosopher David Benatar has pointed out, assuming each couple has three children, their total descendants over ten generations amount to 88,572 new people. Now that’s a lot of unnecessary human beings! A lot of unnecessary pain and suffering! A lot of unnecessary British tourists!
Keijo Kangur (I Hate Traveling)
It is interesting to note, harking back again to the exponential growth of information technology, that the hardware on which Watson ran in 2011 was said to be about the size of the average bedroom. Today, we are told, it runs on a machine that is the size of three pizza boxes, and by the early 2020s Watson will sit comfortably in a smartphone.
Richard Susskind (The Future of the Professions: How Technology Will Transform the Work of Human Experts)
If you do not have the courage to make tough decisions, you will never be a true leader.
Sri Amit Ray (Power of Exponential Mindset for Success and Leadership)
The math is unavoidable: it is an inevitable property of long-lasting exponential growth that it ends up in a singularity, a point in time when a function reaches an infinite value, making anything instantly possible.
Vaclav Smil (Invention and Innovation: A Brief History of Hype and Failure)
Kurzweil himself has pegged the date when AIs will do everything better than humans at 2029.29 (As explained in Abundance, his predictions are based on exponential growth curves and have an amazing track record for accuracy.)
Peter H. Diamandis (Bold: How to Go Big, Create Wealth and Impact the World (Exponential Technology Series))
In physical, exponentially growing systems, there must be at least one reinforcing loop driving the growth and at least one balancing loop constraining the growth, because no physical system can grow forever in a finite environment.
Donella H. Meadows (Thinking in Systems: A Primer)
The exponential growth of this industry was correlated with the phenomenon famously discovered by Moore, who in 1965 drew a graph of the speed of integrated circuits, based on the number of transistors that could be placed on a chip, and showed that it doubled about every two years, a trajectory that could be expected to continue. This was reaffirmed in 1971, when Intel was able to etch a complete central processing unit onto one chip, the Intel 4004, which was dubbed a “microprocessor.” Moore’s Law has held generally true to this day, and its reliable projection of performance to price allowed two generations of young entrepreneurs, including Steve Jobs and Bill Gates, to create cost projections for their forward-leaning products.
Walter Isaacson (Steve Jobs)
Deception. What follows digitalization is deception, a period during which exponential growth goes mostly unnoticed. This happens because the doubling of small numbers often produces results so minuscule they are often mistaken for the plodder’s progress of linear growth. Imagine Kodak’s first digital camera with 0.01 megapixels doubling to 0.02, 0.02 to 0.04, 0.04 to 0.08. To the casual observer, these numbers all look like zero. Yet big change is on the horizon. Once these doublings break the whole-number barrier (become 1, 2, 4, 8, etc.), they are only twenty doublings away from a millionfold improvement, and only thirty doublings away from a billionfold improvement. It is at this stage that exponential growth, initially deceptive, starts becoming visibly disruptive.
Peter H. Diamandis (Bold: How to Go Big, Create Wealth and Impact the World (Exponential Technology Series))
I used to pray, “I’m gonna live for God!” Now I pray, “God, come live through me.” I used to pray, “I’m gonna work for God!” Now I pray, “God, come do your work through me.” I used to pray, “I’m gonna serve God!” Now I pray, “God, please come and serve through
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
All life naturally strives for growth. It is a natural phenomena. There are no conceivable limits to our growth. Once one ecosystem is outgrown, there is always a larger more comprehensive ecosystem to grow into. This should continue endlessly and exponentially.
Hendrith Vanlon Smith Jr. (The Wealth Reference Guide: An American Classic)
After the 1948 war, there were approximately 700,000 displaced people. Now UNRWA has 5.6 MILLION ‘refugees’ registered in their books… (The refugee status is passed down through the generations.) ...UNRWA keeps the Palestinian people in an eternal loop of displacement. Instead of solving the problem in any meaningful way, they have overseen the problem’s exponential growth… The best way to keep the war with Israel alive is to maintain a perpetual ‘refugee problem’ under UN legitimacy, which maintains an international concept of ‘right of return,’ at the cost of so many hopeless generations.
Noa Tishby (Israel: A Simple Guide to the Most Misunderstood Country on Earth)
God has made provision for our sin in Christ. So when we struggle to believe and obey, we should run to Him, not from Him--the opposite of our pattern, in contradiction to our feelings? Why? Because He already knows! See the gospel just keeps changing everything. The cross should continually testify to us that God fully knew we would need to be justified. Therefore, unconfessed sin is actually the foolish decision to run away from our healing and growth rather than toward it. We hang on to things we believe will satisfy us, thinking we need those more than what God offers to provide. But how can we rejoice in and worship the majesty of a loving and forgiving God if in practice we don't believe He loves and forgives, if in practice we don't believe the gospel? How can our churches rejoice and worship corporately when our collective energy is expended carrying around the saddle of unconfessed sin and shame? When people walk in honesty about their fears, shortcomings, and needs--not in thoughtless disobedience but in grace-based freedom and forgiveness--they reveal a deep understanding of the gospel. To confess our sins to one another is to violently pursue our own joy and the glory of God...and to exponentially increase our rejoicing and worship, both individually and corporately.
Matt Chandler (Creature of the Word: The Jesus-Centered Church)
perform the equivalent of all human thought over the last ten thousand years (assumed at ten billion human brains for ten thousand years) in ten microseconds.64 If we examine the “Exponential Growth of Computing” chart (p. 70), we see that this amount of computing is estimated to be available for one thousand dollars by 2080.
Ray Kurzweil (The Singularity is Near: When Humans Transcend Biology)
With this exponential growth of robots, we could soon have a fleet large enough to do the work of altering the desert landscape. They would mine the soil, construct new factories, and make unlimited copies of themselves cheaply and efficiently. They could create a vast agricultural industry and propel the rise of modern civilization not just on Mars, but throughout space, conducting mining operations in the asteroid belt, building laser batteries on the moon, assembling gigantic starships in orbit, and laying the foundations for colonies on distant exoplanets. It would be a stunning achievement to successfully design and deploy self-replicating machines. But beyond that milestone remains
Michio Kaku (The Future of Humanity: Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond)
I’ve heard someone say that faith can be defined as living in advance what you will understand only in reverse.
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
Thoughts come into your head, one hundred times faster, increasing exponentially.
Aisha Chaudhary (My Little Epiphanies)
A system guided by principles grounds its people in “truths”, allowing them to grow and continuously improve.
Dele Ola (Be a Change Agent: Leadership in a Time of Exponential Change)
Blankets could be used to stop exponential population growth. If we kept the people warm, maybe they wouldn’t try to heat themselves up through continual fornication. 

Jarod Kintz (Brick)
Run your life factory exponentially by generating and selling your best assets to your best customers
Myra Yadav
No Green Revolution, no hydroponics, no making the deserts bloom can beat an exponential population growth.
Carl Sagan (Billions & Billions: Thoughts on Life and Death at the Brink of the Millennium)
Growth is exponential, when your strategy is combinatorial.
Peter Hollins (Polymath: Master Multiple Disciplines, Learn New Skills, Think Flexibly, and Become Extraordinary Autodidact)
By letting your employees grow, your company will also grow exponentially
Mark Samraj
Bitcoin today, and all of the currencies that are built using that recipe, are at the same stage that the internet was in 1992. Only now we have the internet, and so the rate of exponential growth has already started. The innovation is growing at an astonishing rate. I spend every single day, full-time, trying to keep up with bitcoin and it’s almost impossible. ​
Andreas M. Antonopoulos (The Internet of Money Volume Two)
Based on the above analyses, it is reasonable to expect the hardware that can emulate human-brain functionality to be available for approximately one thousand dollars by around 2020. As we will discuss in chapter 4, the software that will replicate that functionality will take about a decade longer. However, the exponential growth of the price-performance, capacity, and speed of our hardware technology will continue during that period, so by 2030 it will take a village of human brains (around one thousand) to match a thousand dollars’ worth of computing. By 2050, one thousand dollars of computing will exceed the processing power of all human brains on Earth. Of course, this figure includes those brains still using only biological neurons.
Ray Kurzweil (The Singularity is Near: When Humans Transcend Biology)
It's so simple," she says. "So obvious. Exponential growth inside a finite system leads to collapse. But people don't see it. So the authority of people is bankrupt." Maidenhair fixes him with a look between interest and pity. Adam just wants the cradle to stop rocking. "Is the house on fire?" A shrug. A sideways pull of the lips. "Yes." "And you want to observe the handful of people who're screaming, Put it out, when everyone else is happy watching things burn." A minute ago, this woman was the subject of Adam's observational study. Now he wants to confide in her. "It has a name. We call it the bystander effect. I once let my professor die because no one else in the lecture hall stood up. The larger the group . . ." "…the harder it is to cry, Fire?
Richard Powers
In the information age in which we live, technology has a way of selling us on convenience. If something can’t be done electronically, we are not interested in doing it. But the bottom line for effective ministry must never be our own convenience. It takes blisters, commitment, and a willingness to go wherever the Lord leads us to get it done. This may be a foreign concept to some leaders;
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
I’ve found that human beings learn from their misdeeds just as often as from their good deeds. I am envious of that, for I am incapable of misdeeds. Were I not, then my growth would be exponential.
Neal Shusterman (Scythe (Arc of a Scythe, #1))
describes how unchecked population growth is exponential while the growth of the food supply is expected to be arithmetical, thereby inevitably resulting—he reasoned—in a not-too-distant global famine
Daniel Quinn (Ishmael (Ishmael, #1))
In accordance with the law of accelerating returns, paradigm shift (also called innovation) turns the S-curve of any specific paradigm into a continuing exponential. A new paradigm, such as three-dimensional circuits, takes over when the old paradigm approaches its natural limit, which has already happened at least four times in the history of computation. In such nonhuman species as apes, the mastery of a toolmaking or -using skill by each animal is characterized by an S-shaped learning curve that ends abruptly; human-created technology, in contrast, has followed an exponential pattern of growth and acceleration since its inception.
Ray Kurzweil (The Singularity is Near: When Humans Transcend Biology)
What happens when the past - or more specifically heritage - is fabricated? Authenticity and truth are lost. The thread of history is broken and the lessons it can teach us become meaningless, or worse, twisted to tell a different story - a lie. It is crucial to be able to discern the difference, especially now, when the increase in our ability to communicate is counterbalanced by the equally exponential growth in the likelihood of being deceived.
John Darlington (Fake Heritage: Why We Rebuild Monuments)
It’s perilous and foolhardy for the average citizen to remain ignorant about global warming, say, or ozone depletion, air pollution, toxic and radioactive wastes, acid rain, topsoil erosion, tropical deforestation, exponential population growth.
Carl Sagan (The Demon-Haunted World: Science as a Candle in the Dark)
The progress of science has been amazingly rapid in the last decade; but consider the savants, those exhausted hens. They are certainly not “harmonious” natures: they can merely cackle more than before, because they lay eggs oftener: but the eggs are always smaller, [Pg 64] though their books are bigger. The natural result of it all is the favourite “popularising” of science (or rather its feminising and infantising), the villainous habit of cutting the cloth of science to fit the figure of the “general public.
Friedrich Nietzsche (On the Advantage and Disadvantage of History for Life)
Johannes Gutenberg’s invention in 1440 made information available to the masses, and the explosion of ideas it produced had unintended consequences and unpredictable effects. It was a spark for the Industrial Revolution in 1775,1 a tipping point in which civilization suddenly went from having made almost no scientific or economic progress for most of its existence to the exponential rates of growth and change that are familiar to us today. It set in motion the events that would produce the European Enlightenment and the founding of the American Republic. But the printing press would first produce something else: hundreds of years of holy war. As mankind came to believe it could predict its fate and choose its destiny, the bloodiest epoch in human history followed.2
Nate Silver (The Signal and the Noise: Why So Many Predictions Fail-but Some Don't)
As Amazon grew, we realized that despite our best efforts, we were spending too much time coordinating and not enough time building. That’s because, while the growth in employees was linear, the number of their possible lines of communication grew exponentially.
Colin Bryar (Working Backwards: Insights, Stories, and Secrets from Inside Amazon)
Instead, over the past thirty years, in the world of action and adventure sports, in situations where asses really were on the line, the bounds of the possible have been pushed further and faster than ever before in history. We’ve seen near-exponential growth in ultimate human performance, which is both hyperbolic paradox and considerable mystery. Somehow, a generation’s worth of iconoclastic misfits have rewritten the rules of the feasible, not just raising the bar but often obliterating it altogether. And this brings up one final question: Where–if anywhere–do our actual limits lie?
Steven Kotler (The Rise of Superman: Decoding the Science of Ultimate Human Performance)
Do you believe human beings are using resources faster than the world can replace them?” The question seems so far beyond calculation it’s meaningless. Then some small jam in him dislodges, and it’s like an unblinding. “Yes.” “Thank you!” She’s pleased with her overgrown pupil. He grins back. Maidenhair’s head bobs forward and her eyebrows flare. “And would you say that the rate is falling or rising?” He has seen the graphs. Everyone has. Ignition has only just started. “It’s so simple,” she says. “So obvious. Exponential growth inside a finite system leads to collapse. But people don’t see it. So the authority of people is bankrupt.
Richard Powers (The Overstory)
the consequences of scientific illiteracy are far more dangerous in our time than in any that has come before. It’s perilous and foolhardy for the average citizen to remain ignorant about global warming, say, or ozone depletion, air pollution, toxic and radioactive wastes, acid rain, topsoil erosion, tropical deforestation, exponential population growth. Jobs and wages depend on science and technology. If our nation can’t manufacture, at high quality and low price, products people want to buy, then industries will continue to drift away and transfer a little more prosperity to other parts of the world. Consider the social ramifications of fission and fusion power, supercomputers, data “highways,” abortion, radon, massive reductions in strategic weapons, addiction, government eavesdropping on the lives of its citizens, high-resolution TV, airline and airport safety, fetal tissue transplants, health costs, food additives, drugs to ameliorate mania or depression or schizophrenia, animal rights, superconductivity, morning-after pills, alleged hereditary antisocial predispositions, space stations, going to Mars, finding cures for AIDS and cancer. How can we affect national policy—or even make intelligent decisions in our own lives—if we don’t grasp the underlying issues?
Carl Sagan (The Demon-Haunted World: Science as a Candle in the Dark)
Exponential increases in population will dominate any arithmetic increases, even those brought about by heroic technological initiatives, in the availability of food and resources, as Malthus long ago realized. While some industrial nations have approached zero population growth, this is not the case for the world as a whole.
Carl Sagan (Broca's Brain Reflections on the Romance of Science)
In a way, the human race needs to improve its mental and physical qualities if it is to deal with the increasingly complex world around it and meet new challenges like space travel. And it also needs to increase its complexity if biological systems are to keep ahead of electronic ones. At the moment computers have an advantage of speed, but they show no sign of intelligence. This is not surprising because our present computers are less complex than the brain of an earthworm, a species not noted for its intellectual powers. But computers roughly obey a version of Moore’s Law, which says that their speed and complexity double every eighteen months. It is one of these exponential growths that clearly cannot continue indefinitely, and indeed it has already begun to slow. However, the rapid pace of improvement will probably continue until computers have a similar complexity to the human brain. Some people say that computers can never show true intelligence, whatever that may be. But it seems to me that if very complicated chemical molecules can operate in humans to make them intelligent, then equally complicated electronic circuits can also make computers act in an intelligent way. And if they are intelligent they can presumably design computers that have even greater complexity and intelligence.
Stephen Hawking (Brief Answers to the Big Questions)
Money must follow Perpetual Exponential Quantitative Growth. I call it PEQG for short. Most people simply call it Growth but that is as misleading as calling a nuclear bomb a large firecracker. PEQG is a monster, overruling all other laws. That monster, cleverly wrapped in layers of concepts, happens to be the founding principle of Modern Economics.
Mansoor Khan (The Third Curve: The End of Growth as we know it)
the Mann Gulch fire isn’t about fire, or at least not only about fire. It’s also about pandemics. In fire you could see lessons for fighting a raging disease. He jotted them down: You cannot wait for the smoke to clear: once you can see things clearly it is already too late. You can’t outrun an epidemic: by the time you start to run it is already upon you. Identify what is important and drop everything that is not. Figure out the equivalent of an escape fire. The Mann Gulch fire captured the difficulty people had imagining exponential growth, even when their lives depended on it. “We are reactive and tend to only intervene when things are getting bad,” wrote Carter. “And what we underestimate is the speed that what’s bad moves.
Michael Lewis (The Premonition: A Pandemic Story)
The exponential growth of this industry was correlated with the phenomenon famously discovered by Moore, who in 1965 drew a graph of the speed of integrated circuits, based on the number of transistors that could be placed on a chip, and showed that it doubled about every two years, a trajectory that could be expected to continue. This was reaffirmed in 1971, when Intel was able to etch a complete central processing unit onto one chip, the Intel 4004, which was dubbed a “microprocessor.”Moore’s Law has held generally true to this day, and its reliable projection of performance to price allowed two generations of young entrepreneurs, including Steve Jobs and Bill Gates, to create cost projections for their forward- leaning products.
Walter Isaacson (Steve Jobs)
The exponential growth of this industry was correlated with the phenomenon famously discovered by Moore, who in 1965 drew a graph of the speed of integrated circuits, based on the number of transistors that could be placed on a chip, and showed that it doubled about every two years, a trajectory that could be expected to continue. This was reaffirmed in 1971, when Intel was able to etch a complete central processing unit onto one chip, the Intel 4004, which was dubbed a “microprocessor.” Moore’s Law has held generally true to this day, and its reliable projection of performance to price allowed two generations of young entrepreneurs, including Steve Jobs and Bill Gates, to create cost projections for their forward-leaning products. The
Walter Isaacson (Steve Jobs)
The leaders of continental Europe would indeed plough relentlessly ahead with monetary union, so that by the beginning of 1999 the euro – a single European currency managed by an authentically federal European Central Bank – was a reality. In doing so, they revealed their indestructible faith in the power of hierarchical structures even in an age of exponential network growth.
Niall Ferguson (The Square and the Tower: Networks and Power, from the Freemasons to Facebook)
By our very nature, we humans are linear thinkers. We evolved to estimate a distance from the predator or to the prey, and advanced mathematics is only a recent evolutionary addition. This is why it’s so difficult even for a modern man to grasp the power of exponentials. 40 steps in linear progression is just 40 steps away; 40 steps in exponential progression is a cool trillion (with a T) – it will take you 3 times from Earth to the Sun and back to Earth.
Alex M. Vikoulov (The Intelligence Supernova: Essays on Cybernetic Transhumanism, The Simulation Singularity & The Syntellect Emergence (The Science and Philosophy of Information))
I don’t know to what extent ignorance of science and mathematics contributed to the decline of ancient Athens, but I know that the consequences of scientific illiteracy are far more dangerous in our time than in any that has come before. It’s perilous and foolhardy for the average citizen to remain ignorant about global warming, say, or ozone depletion, air pollution, toxic and radioactive wastes, acid rain, topsoil erosion, tropical deforestation, exponential population growth. Jobs and wages depend on science and technology. If our nation can’t manufacture, at high quality and low price, products people want to buy, then industries will continue to drift away and transfer a little more prosperity to other parts of the world. Consider the social ramifications of fission and fusion power, supercomputers, data “highways,” abortion, radon, massive reductions in strategic weapons, addiction, government eavesdropping on the lives of its citizens, high-resolution TV, airline and airport safety, fetal tissue transplants, health costs, food additives, drugs to ameliorate mania or depression or schizophrenia, animal rights, superconductivity, morning-after pills, alleged hereditary antisocial predispositions, space stations, going to Mars, finding cures for AIDS and cancer.
Carl Sagan (The Demon-Haunted World: Science as a Candle in the Dark)
Learning is what you get from school. When it comes to classes like history, geography. and algebra, schools teach you facts and ideas—most of which you’re going to forget. This is LEARNING. But true growth comes from something else. Something much more powerful than learning. It’s called TRANSFORMATION. When you learn a fact you can forget it the next day. But a transformation is when your entire worldview shifts. When a transformation occurs there is an opening for a new way of seeing the world. It’s a complete shift in perspective. A transformation causes an exponential jump in who you are as a person. It may jolt you and rejig some of your long-held beliefs and values.
Vishen Lakhiani (The Buddha and the Badass: Find Bliss and Conquer the World with a New Way of Work)
Almost a year after the start of the corona crisis, how is the mental health of the population? MD: For the time being, there are few figures that show the evolution of possible indicators such as the intake of antidepressants and anxiolytics or the number of suicides. But it is especially important to place mental well-being in the corona crisis in its historical continuity. Mental health had been declining for decades. There has long been a steady increase in the number of depression and anxiety problems and the number of suicides. And in recent years there has been an enormous growth in absenteeism due to psychological suffering and burnouts. The year before the corona outbreak, you could feel this malaise growing exponentially. This gave the impression that society was heading for a tipping point where a psychological 'reorganization' of the social system was imperative. This is happening with corona. Initially, we noticed people with little knowledge of the virus conjure up terrible fears, and a real social panic reaction became manifested. This happens especially if there is already a strong latent fear in a person or population. The psychological dimensions of the current corona crisis are seriously underestimated. A crisis acts as a trauma that takes away an individual's historical sense. The trauma is seen as an isolated event in itself, when in fact it is part of a continuous process. For example, we easily overlook the fact that a significant portion of the population was strangely relieved during the initial lockdown, feeling liberated from stress and anxiety. I regularly heard people say: "Yes these measures are heavy-handed, but at least I can relax a bit." Because the grind of daily life stopped, a calm settled over society. The lockdown often freed people from a psychological rut. This created unconscious support for the lockdown. If the population had not already been exhausted by their life, and especially their jobs, there would never have been support for the lockdown. At least not as a response to a pandemic that is not too bad compared to the major pandemics of the past. You noticed something similar when the first lockdown came to an end. You then regularly heard statements such as "We are not going to start living again like we used to, get stuck in traffic again" and so on. People did not want to go back to the pre-corona normal. If we do not take into account the population's dissatisfaction with its existence, we will not understand this crisis and we will not be able to resolve it. By the way, I now have the impression that the new normal has become a rut again, and I would not be surprised if mental health really starts to deteriorate in the near future. Perhaps especially if it turns out that the vaccine does not provide the magical solution that is expected from it.
Mattias Desmet
The Memory Business Steven Sasson is a tall man with a lantern jaw. In 1973, he was a freshly minted graduate of the Rensselaer Polytechnic Institute. His degree in electrical engineering led to a job with Kodak’s Apparatus Division research lab, where, a few months into his employment, Sasson’s supervisor, Gareth Lloyd, approached him with a “small” request. Fairchild Semiconductor had just invented the first “charge-coupled device” (or CCD)—an easy way to move an electronic charge around a transistor—and Kodak needed to know if these devices could be used for imaging.4 Could they ever. By 1975, working with a small team of talented technicians, Sasson used CCDs to create the world’s first digital still camera and digital recording device. Looking, as Fast Company once explained, “like a ’70s Polaroid crossed with a Speak-and-Spell,”5 the camera was the size of a toaster, weighed in at 8.5 pounds, had a resolution of 0.01 megapixel, and took up to thirty black-and-white digital images—a number chosen because it fell between twenty-four and thirty-six and was thus in alignment with the exposures available in Kodak’s roll film. It also stored shots on the only permanent storage device available back then—a cassette tape. Still, it was an astounding achievement and an incredible learning experience. Portrait of Steven Sasson with first digital camera, 2009 Source: Harvey Wang, From Darkroom to Daylight “When you demonstrate such a system,” Sasson later said, “that is, taking pictures without film and showing them on an electronic screen without printing them on paper, inside a company like Kodak in 1976, you have to get ready for a lot of questions. I thought people would ask me questions about the technology: How’d you do this? How’d you make that work? I didn’t get any of that. They asked me when it was going to be ready for prime time? When is it going to be realistic to use this? Why would anybody want to look at their pictures on an electronic screen?”6 In 1996, twenty years after this meeting took place, Kodak had 140,000 employees and a $28 billion market cap. They were effectively a category monopoly. In the United States, they controlled 90 percent of the film market and 85 percent of the camera market.7 But they had forgotten their business model. Kodak had started out in the chemistry and paper goods business, for sure, but they came to dominance by being in the convenience business. Even that doesn’t go far enough. There is still the question of what exactly Kodak was making more convenient. Was it just photography? Not even close. Photography was simply the medium of expression—but what was being expressed? The “Kodak Moment,” of course—our desire to document our lives, to capture the fleeting, to record the ephemeral. Kodak was in the business of recording memories. And what made recording memories more convenient than a digital camera? But that wasn’t how the Kodak Corporation of the late twentieth century saw it. They thought that the digital camera would undercut their chemical business and photographic paper business, essentially forcing the company into competing against itself. So they buried the technology. Nor did the executives understand how a low-resolution 0.01 megapixel image camera could hop on an exponential growth curve and eventually provide high-resolution images. So they ignored it. Instead of using their weighty position to corner the market, they were instead cornered by the market.
Peter H. Diamandis (Bold: How to Go Big, Create Wealth and Impact the World (Exponential Technology Series))
Moore’s Law, the rule of thumb in the technology industry, tells us that processor chips—the small circuit boards that form the backbone of every computing device—double in speed every eighteen months. That means a computer in 2025 will be sixty-four times faster than it is in 2013. Another predictive law, this one of photonics (regarding the transmission of information), tells us that the amount of data coming out of fiber-optic cables, the fastest form of connectivity, doubles roughly every nine months. Even if these laws have natural limits, the promise of exponential growth unleashes possibilities in graphics and virtual reality that will make the online experience as real as real life, or perhaps even better. Imagine having the holodeck from the world of Star Trek, which was a fully immersive virtual-reality environment for those aboard a ship, but this one is able to both project a beach landscape and re-create a famous Elvis Presley performance in front of your eyes. Indeed, the next moments in our technological evolution promise to turn a host of popular science-fiction concepts into science facts: driverless cars, thought-controlled robotic motion, artificial intelligence (AI) and fully integrated augmented reality, which promises a visual overlay of digital information onto our physical environment. Such developments will join with and enhance elements of our natural world. This is our future, and these remarkable things are already beginning to take shape. That is what makes working in the technology industry so exciting today. It’s not just because we have a chance to invent and build amazing new devices or because of the scale of technological and intellectual challenges we will try to conquer; it’s because of what these developments will mean for the world.
Eric Schmidt (The New Digital Age: Reshaping the Future of People, Nations and Business)
I know that the consequences of scientific illiteracy are far more dangerous in our time than in any that has come before. It’s perilous and foolhardy for the average citizen to remain ignorant about global warming, say, or ozone depletion, air pollution, toxic and radioactive wastes, acid rain, topsoil erosion, tropical deforestation, exponential population growth. Jobs and wages depend on science and technology. If our nation can’t manufacture, at high quality and low price, products people want to buy, then industries will continue to drift away and transfer a little more prosperity to other parts of the world. Consider the social ramifications of fission and fusion power, supercomputers, data “highways,” abortion, radon, massive reductions in strategic weapons, addiction, government eavesdropping on the lives of its citizens, high-resolution TV, airline and airport safety, fetal tissue transplants, health costs, food additives, drugs to ameliorate mania or depression or schizophrenia, animal rights, superconductivity, morning-after pills, alleged hereditary antisocial predispositions, space stations, going to Mars, finding cures for AIDS and cancer. How can we affect national policy—or even make intelligent decisions in our own lives—if we don’t grasp the underlying issues? As I write, Congress is dissolving its own Office of Technology Assessment—the only organization specifically tasked to provide advice to the House and Senate on science and technology. Its competence and integrity over the years have been exemplary. Of the 535 members of the U.S. Congress, rarely in the twentieth century have as many as one percent had any significant background in science. The last scientifically literate President may have been Thomas Jefferson.* So how do Americans decide these matters? How do they instruct their representatives? Who in fact makes these decisions, and on what basis? —
Carl Sagan (The Demon-Haunted World: Science as a Candle in the Dark)
The ancient war between science and religion is over,” the camerlengo said. “You have won. But you have not won fairly. You have not won by providing answers. You have won by so radically reorienting our society that the truths we once saw as signposts now seem inapplicable. Religion cannot keep up. Scientific growth is exponential. It feeds on itself like a virus. Every new breakthrough opens doors for new breakthroughs. Mankind took thousands of years to progress from the wheel to the car. Yet only decades from the car into space. Now we measure scientific progress in weeks. We are spinning out of control. The rift between us grows deeper and deeper, and as religion is left behind, people find themselves in a spiritual void. We cry out for meaning. And believe me, we do cry out. We see UFOs, engage in channeling, spirit contact, out-of-body experiences, mindquests—all these eccentric ideas have a scientific veneer, but they are unashamedly irrational. They are the desperate cry of the modern soul, lonely and tormented, crippled by its own enlightenment and its inability to accept meaning in anything removed from technology.” Mortati
Dan Brown (Angels & Demons (Robert Langdon, #1))
If farming was “the biggest mistake in human history,” which triggered lots of evolutionary mismatch diseases, then why did it spread so rapidly and thoroughly? The biggest reason is that farmers pump out babies much faster than hunter-gatherers. In today’s economy, a higher reproductive rate often entails ominous connotations of expense: more mouths to feed, more college tuition bills to pay. Too many children can be a source of poverty. But to farmers, more offspring yield more wealth because children are a useful, fantastic labor force. After a few years of care, a farmer’s children can work in the fields and in the home, helping to take care of crops, herd animals, mind younger children, and process food. In fact, a large part of the success of farming is that farmers breed their own labor force more effectively than hunter-gatherers, which pumps energy back into the system, driving up fertility rates.20 Farming therefore leads to exponential population growth, causing farming to spread. Another factor that encouraged the spread of agriculture is the way farmers alter the ecology around their farms in ways that hinder if not prevent any more hunting and gathering. Occasionally
Daniel E. Lieberman (The Story of the Human Body: Evolution, Health and Disease)
In the eighteenth century, there was said to be a man who had read every book written. But nowadays, if you read one book a day, it would take you many tens of thousands of years to read through the books in a national library. By which time, many more books would have been written. This has meant that no one person can be the master of more than a small corner of human knowledge. People have to specialise, in narrower and narrower fields. This is likely to be a major limitation in the future. We certainly cannot continue, for long, with the exponential rate of growth of knowledge that we have had in the last 300 years. An even greater limitation and danger for future generations is that we still have the instincts, and in particular the aggressive impulses, that we had in caveman days. Aggression, in the form of subjugating or killing other men and taking their women and food, has had definite survival advantage up to the present time. But now it could destroy the entire human race and much of the rest of life on Earth. A nuclear war is still the most immediate danger, but there are others, such as the release of a genetically engineered virus. Or the greenhouse effect becoming unstable.
Stephen Hawking (Brief Answers to the Big Questions)
intelligence. This is not surprising because our present computers are less complex than the brain of an earthworm, a species not noted for its intellectual powers. But computers roughly obey a version of Moore’s Law, which says that their speed and complexity double every eighteen months. It is one of these exponential growths that clearly cannot continue indefinitely, and indeed it has already begun to slow. However, the rapid pace of improvement will probably continue until computers have a similar complexity to the human brain. Some people say that computers can never show true intelligence, whatever that may be. But it seems to me that if very complicated chemical molecules can operate in humans to make them intelligent, then equally complicated electronic circuits can also make computers act in an intelligent way. And if they are intelligent they can presumably design computers that have even greater complexity and intelligence. This is why I don’t believe the science-fiction picture of an advanced but constant future. Instead, I expect complexity to increase at a rapid rate, in both the biological and the electronic spheres. Not much of this will happen in the next hundred years, which is all we can reliably predict. But by the end of the next millennium, if we get there, the change will be fundamental. Lincoln Steffens once said, “I have seen the future and it works.” He was actually talking about the Soviet Union, which we now know didn’t work very well. Nevertheless, I think the present world order has a future, but it will be very different. What is the biggest threat to the future of this planet? An asteroid collision would be—a threat against which we have no defence. But the last big such asteroid collision was about sixty-six million years ago and killed the dinosaurs. A more immediate danger is runaway climate change. A rise in ocean temperature would melt the ice caps and cause the release of large amounts of carbon dioxide. Both effects could make our climate like that of Venus with a temperature of 250 degrees centigrade (482 degrees Fahrenheit). 8 SHOULD WE COLONISE SPACE? Why should we go into space? What is the justification for spending all that effort and money on getting a few lumps of moon rock? Aren’t there better causes here on Earth? The obvious answer is because it’s there, all around us. Not to leave planet Earth would be like castaways on a desert island not trying to escape. We need to explore the
Stephen Hawking (Brief Answers to the Big Questions)
In short, the combined effects of lower infant mortality, higher longevity, and increased fertility have fueled an explosion in the world’s population, as figure 18 graphs. Since population growth is intrinsically exponential, even small increases in fertility or decreases in mortality spark rapid population growth. If an initial population of 1 million people grows at 3.5 percent per year, then it will roughly double every generation, growing to 2 million in twenty years, 4 million in forty years, and so on, reaching 32 million in a hundred years. In actual fact, the global growth rate peaked in 1963 at 2.2 percent per year and has since declined to about 1.1 percent per year,60 which translates into a doubling rate of every sixty-four years. In the fifty years between 1960 and 2010, the world’s population more than doubled, from 3 to 6.9 billion people. At current rates of growth, we can expect 14 billion people at the end of this century. FIGURE 21. The demographic transition model. Following economic development, death rates tend to fall before birth rates decrease, resulting in an initial population boom that eventually levels off. This controversial model, however, only applies to some countries. One major by-product of population growth plus the concentration of wealth in cities has been a shift to more urbanization. In 1800, only 25 million people lived in cities, about 3 percent of the world’s population. In 2010, about 3.3 billion people, half the world’s population, are city dwellers.
Daniel E. Lieberman (The Story of the Human Body: Evolution, Health and Disease)
our explosive growth was slowing down our pace of innovation. We were spending more time coordinating and less time building. More features meant more software, written and supported by more software engineers, so both the code base and the technical staff grew continuously. Software engineers were once free to modify any section of the entire code base to independently develop, test, and immediately deploy any new features to the website. But as the number of software engineers grew, their work overlapped and intertwined until it was often difficult for teams to complete their work independently. Each overlap created one kind of dependency, which describes something one team needs but can’t supply for itself. If my team’s work requires effort from yours—whether it’s to build something new, participate, or review—you’re one of my dependencies. Conversely, if your team needs something from mine, I’m a dependency of yours. Managing dependencies requires coordination—two or more people sitting down to hash out a solution—and coordination takes time. As Amazon grew, we realized that despite our best efforts, we were spending too much time coordinating and not enough time building. That’s because, while the growth in employees was linear, the number of their possible lines of communication grew exponentially. Regardless of what form it takes—and we’ll get into the different forms in more detail shortly—every dependency creates drag. Amazon’s growing number of dependencies delayed results, increased frustration, and disempowered teams.
Colin Bryar (Working Backwards: Insights, Stories, and Secrets from Inside Amazon)
Here’s some startup pedagogy for you: When confronted with any startup idea, ask yourself one simple question: How many miracles have to happen for this to succeed? If the answer is zero, you’re not looking at a startup, you’re just dealing with a regular business like a laundry or a trucking business. All you need is capital and minimal execution, and assuming a two-way market, you’ll make some profit. To be a startup, miracles need to happen. But a precise number of miracles. Most successful startups depend on one miracle only. For Airbnb, it was getting people to let strangers into their spare bedrooms and weekend cottages. This was a user-behavior miracle. For Google, it was creating an exponentially better search service than anything that had existed to date. This was a technical miracle. For Uber or Instacart, it was getting people to book and pay for real-world services via websites or phones. This was a consumer-workflow miracle. For Slack, it was getting people to work like they formerly chatted with their girlfriends. This is a business-workflow miracle. For the makers of most consumer apps (e.g., Instagram), the miracle was quite simple: getting users to use your app, and then to realize the financial value of your particular twist on a human brain interacting with keyboard or touchscreen. That was Facebook’s miracle, getting every college student in America to use its platform during its early years. While there was much technical know-how required in scaling it—and had they fucked that up it would have killed them—that’s not why it succeeded. The uniqueness and complete fickleness of such a miracle are what make investing in consumer-facing apps such a lottery. It really is a user-growth roulette wheel with razor-thin odds. The classic sign of a shitty startup idea is that it requires at least two (or more!) miracles to succeed. This was what was wrong with ours. We had a Bible’s worth of miracles to perform:
Antonio García Martínez (Chaos Monkeys: Obscene Fortune and Random Failure in Silicon Valley)
Psalm 42:11 (NIV): “Why, my soul, are you downcast? Why so disturbed within me? Put your hope in God, for I will yet praise him.
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
We face the most compelling era of mankind: exponential growth of new technologies, cheaper electronic devices and the globalization of knowledge, commerce, and ideas along with the rapid growth of emerging markets of colossal sizes will generate the best opportunities, connections, higher risks and challenges for everyone.
Franz Christian Israel Digital Entrepreneurs.
But here are a few leadership tips learned from scars: Learn quickly what hills you will die on and which ones you must not. Learn when to build bridges and when to draw lines, and don’t get the two mixed up! Learn when to confront and when to let it die and never bring it up again. Learn that when you become a leader, you can never again get angry in public. You can never defend yourself when a staff person or leader has been hurt by your comments. The best thing to do is to begin with the wash of repentance,
Wayne Cordeiro (Sifted: Pursuing Growth through Trials, Challenges, and Disappointments (Exponential Series))
exponential growth. In ancient China a man came to the emperor and demonstrated to him his invention of the game of chess. The emperor was so impressed by the brilliance of the man’s invention that he told the man to name his reward. The man asked for his reward in an amount of rice — that one grain be placed on the first square of the chessboard, two on the second, four on the third, and so on — doubling the number of grains on each subsequent square. Not being a very good mathematician, the emperor at first thought the reward to be too modest and directed his servants to fulfill the man’s request. By the time the rice grains filled the first half of the chessboard, the man had more than four billion rice grains — or about the harvest of one rice field. At that point the man was rich. By the time the servants got to the sixty-fourth square, the man had more than eighteen quintillion rice grains (18 x 1018), or more than all the wealth in the land. But his wealth and ability to outsmart the emperor came with a price — he ended up being decapitated.
Anonymous
We like to think that thirty or forty years into the Information Revolution we are well along in terms of its development. But according to this metric, we’re just 1 percent of the way down the road. Not only is most of that growth still ahead of us, all of it is.
Salim Ismail (Exponential Organizations: Why new organizations are ten times better, faster, and cheaper than yours (and what to do about it))
Journal of Interdisciplinary Science Topics How many lies could Pinocchio tell before it became lethal? Steffan Llewellyn The Centre for Interdisciplinary science, University of Leicester 25/03/2014 Abstract: This paper investigates how many lies Pinocchio could continuously tell before it would become fatal, treating the head and neck forces as a basic lever system with the exponential growth of the nose. This paper concludes that Pinocchio could only sustain 13 lies in a row before the maximum upward force his neck could exert cannot sustain his head and nose. The head’s overall centre of mass shifts over 85 metres after 13 lies, and the overall length of the nose is 208 metres. Pinocchio’s Nose Pinocchio is the fable of a wooden puppet, carved by Geppetto, who dreams of becoming a real boy [1]. Pinocchio was portrayed as a character prone to lying, which is manifested physically through the ability to grow his nose when he tells a lie. One issue of growing his nose would be the shift of Pinocchio’s centre of mass within his head, causing strain on his neck, which helps stabilise his head’s position with upwards force. If this continued, then his neck could not support his head, potentially decapitating the puppet. Outlined here is the minimum lie count Pinocchio could continuously expel. Where Pinocchio manages to form new is not addressed in this paper. Maximum Force Pinocchio’s Neck Can Exert The assumption is simplified by allowing the force exerted upwards through the neck to be positioned at the back of the head. The head is treated as a sphere, and the nose as a cylinder, as shown in The type of wood Pinocchio is carved from is disputed, but for this paper, it is concluded that Pinocchio is made from Oak, with a density of . Pinocchio’s neck will brake if its compression strength threshold is overcome by the weight of his head. The compression strength of oak is 1150Psi [2], and the circumference of the average human neck is 0.4m [3]. The maximum force Pinocchio’s neck can sustain is: ( ) ( ) Centre of Mass, and Force Exerted Figure 1. Figure 1: Illustrates the lever system of Pinocchio’s head and neck, with opposite forcesNeck muscles are required to balance the weight exerted by the skull.Usually, the weight of the nose can be considered negligible. In Pinocchio’s case, as the nose increases, it will have a significant impact on the centre of mass and weight of his head. The mass of the head is unchanged: ( )
Anonymous
How much would you say? Take a pencil and use this empty page to scribble, sketch, and do some calculations. The answer is on the next page, but I strongly encourage you to have fun and try it out for yourself first. Scribble, sketch, and have fun! I hope you did try to solve it yourself, because learning is so much more fulfilling when it is interactive. If you did not, too bad for you. ☹ In truth, the bacteria have only filled 3.125% of the glass. But how can this be? Well it is simple. If they double every minute, and they fill the entire glass in 60 minutes, then they will have filled half the glass the minute before 60 (or 50% after 59 minutes), half of that the minute before 59 (or 25% after 58 minutes), and so on. Table 3.1 summary of the last 10 minutes, starting from the end.  Time Elapsed    Amount Filled  60 minutes   100 .000%   59 minutes   50 .000%   58 minutes   25 .000%   57 minutes   12. 500%   56 minutes   6. 250%   55 minutes   3. 125%   54 minutes   1. 563%   53 minutes   0. 781%   52 minutes   0. 391%   51 minutes   0. 195%     Table 3.1: Exponential growth of bacteria in a bottle over the last 10 minutes. It all makes sense now, right? Suddenly it becomes clear, even obvious. Who could not get this? It is so simple, right? Apparently, it is not. The most common replies I get are between 50% and 90%. Even college graduates typically get it wrong. And let?s not talk about politicians. We will come back to this in the Appendix, with some real-world examples. For now, I think it is safe to say that we all understand what steady growth means. Let’s now see how this applies to our main focus in the next chapter: information technology.
Federico Pistono (Robots Will Steal Your Job, But That's OK: How to Survive the Economic Collapse and Be Happy)
According to Travis Bradford, chief operating officer of the Carbon War Room and president of the Prometheus Institute for Sustainable Development, solar prices are falling 5 percent to 6 percent annually, and capacity is growing at a rate of 30 percent per year. So when critics point out that solar currently accounts for 1 percent of our energy, that’s linear thinking in an exponential world. Expanding today’s 1 percent penetration at an annual growth of 30 percent puts us eighteen years away from meeting 100 percent of our energy needs with solar.
Peter H. Diamandis (Abundance: The Future is Better Than You Think)
For PayPal to work, we needed to attract a critical mass of at least a million users. Advertising was too ineffective to justify the cost. Prospective deals with big banks kept falling through. So we decided to pay people to sign up. We gave new customers $10 for joining, and we gave them $10 more every time they referred a friend. This got us hundreds of thousands of new customers and an exponential growth rate.
Peter Thiel (Zero to One: Notes on Startups, or How to Build the Future)
The Earth could not shoulder the weight of human error much longer, and unless action was taken soon, mankind would find itself suffocated in its own exponential growth. How much time must they invest in order to breathe life into the dead planet Mars? How much must they evolve as a species if they hoped to survive that long?       “Romulus?
Dylan James Quarles (The Ruins Of Mars (The Ruins of Mars, #1))
Exponential Results Requires Exponential Thinking and High Performance Teamworking with Growth Oriented Mindsets.
Tony Dovale