Cosmos Documentary Quotes

Our mathematics is a combination of invention and discoveries. The axioms of Euclidean geometry as a concept were an invention, just as the rules of chess were an invention. The axioms were also supplemented by a variety of invented concepts, such as triangles, parallelograms, ellipses, the golden ratio, and so on. The theorems of Euclidean geometry, on the other hand, were by and large discoveries; they were the paths linking the different concepts. In some cases, the proofs generated the theorems-mathematicians examined what they could prove and from that they deduced the theorems. In others, as described by Archimedes in The Method, they first found the answer to a particular question they were interested in, and then they worked out the proof. Typically, the concepts were inventions. Prime numbers as a concept were an invention, but all the theorems about prime numbers were discoveries. The mathematicians of ancient Babylon, Egypt, and China never invented the concept of prime numbers, in spite of their advanced mathematics. Could we say instead that they just did not "discover" prime numbers? Not any more than we could say that the United Kingdom did not "discover" a single, codified, documentary constitution. Just as a country can survive without a constitution, elaborate mathematics could develop without the concept of prime numbers. And it did! Do we know why the Greeks invented such concepts as the axioms and prime numbers? We cannot be sure, but we could guess that this was part of their relentless efforts to investigate the most fundamental constituents of the universe. Prime numbers were the basic building blocks of matter. Similarly, the axioms were the fountain from which all geometrical truths were supposed to flow. The dodecahedron represented the entire cosmos and the golden ratio was the concept that brought that symbol into existence.

* Favorite documentary Carl Sagan’s Cosmos series inspired Adam to become a scientist, which is true for many of the top-tier scientists I’ve met and interviewed. [TF: Neil deGrasse Tyson has a revised version of Cosmos that is also spectacular.] “It was a really powerful, friendly way of being introduced to the complexities and wonders that were gripping to me as a kid. I watched it with my dad. It was great bonding for us. The way [Sagan] delivered it was just captivating, and it was really what sealed the deal for me that I wanted to be a scientist.” * Advice to your 30-year-old self? “I would say to have no fear. I mean, you’ve got one chance here to do amazing things, and being afraid of being wrong or making a mistake or fumbling is just not how you do something of impact. You just have to be fearless.” As context, Adam said the following earlier in our conversation: “I want to do fundamental breakthroughs, if possible. If you have that mindset, if that’s how you challenge yourself, that that’s what you want to do with your life, with your small amount of time that you have here to make a difference, then the only way to do it is to do the type of research that other people would think of as risky or even foolhardy. That’s just part of the game.

If you have seen my YouTube documentary that was the genesis for this book entitled The 2012 Enigma,1 my Web site, Divine Cosmos,2 or some of my television appearances, you probably know I do not believe our future is depressing, terrifying or cataclysmic.