God Created The Integers Quotes

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In the words of Kronecker, the positive integers were created by God. Kronecker would have expressed it even better if he had said that the positive integers were created by God for the benefit of man (and other finite beings). Mathematics belongs to man, not to God. We are not interested in properties of the positive integers that have no descriptive meaning for finite man. When a man proves a positive integer to exist, he should show how to find it. If God has mathematics of his own that needs to be done, let him do it himself.
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Errett Bishop
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The danger of speaking about life exclusively in terms of problem and solution is that we are thus tempted to overlook the limitations of this detective game and the very existence of the initial arbitrary rules that makes the playing of it possible. The rule is to exclude from the terms of the problem everything that the solution cannot solve. It is diverting and useful to know that, for the chemist, a man is made up of a few pennyworth of salt, sugar, iron, and what not, together with an intolerable deal of water. But we must not assert that β€˜man is, in fact, nothing but’ these things, or suppose that the solution of the pennyworths in the water will produce a complete and final solution of man. . . . It was said by Kronecker, the mathematician: β€˜God made the integers; all else is the work of man.’ Man can table the integers and arrange them into problems that he can solve in the terms in which they are set. But before the inscrutable mystery of the integers themselves he is helpless, unless he calls upon that tri-unity in himself that is made in the image of God, and can include and create the integers.
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Dorothy L. Sayers (Letters to a Diminished Church: Passionate Arguments for the Relevance of Christian Doctrine)
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Boston and Chicago are two great seats of mathematical research located in major American cities. Until they won in 2004, if you asked a baseball fan in Boston what they most hoped to see in their lifetime, they would have answered a World Series win for the Boston Red Sox. Chicago Cubs fans are still waiting. Ask a mathematician in either of those cities or anywhere else in the world what they would most hope to see in their lifetime, and they would most likely answer: "A proof o the Riemann hypothesis!" Perhaps mathematicians, like Red Sox fans, will have their prayers answered in our lifetimes, or at least before the Cubs win the World Series.
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Stephen Hawking (God Created the Integers: The Mathematical Breakthroughs That Changed History)
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Atoms, elements and molecules are three important knowledge in Physics, chemistry and Biology. mathematics comes where counting starts, when counting and measurement started, integers were required. Stephen hawking says integers were created by god and everything else is work of man. Man sees pattern in everything and they are searched and applied to other sciences for engineering, management and application problems. Physics, it is required understand the physical nature or meaning of why it happens, chemistry is for chemical nature, Biology is for that why it happened. Biology touch medicine, plants and animals. In medicine how these atoms, elements and molecules interplay with each other by bondage is being explained. Human emotions and responses are because of biochemistry, hormones i e anatomy and physiology. This physiology deals with each and every organs and their functions. When this atom in elements are disturbed whatever they made i e macromolecules DNA, RNA and Protein and other micro and macro nutrients and which affects the physiology of different organs on different scales and then diseases are born because of this imbalance/ disturb in homeostasis. There many technical words are there which are hard to explain in single para. But let me get into short, these atoms in elements and molecules made interplay because of ecological stimulus i e so called god. and when opposite sex meets it triggers various responses on body of each. It is also harmone and they are acting because of atoms inside elements and continuous generation or degenerations of cell cycle. There is a god cell called totipotent stem cell, less gods are pluripotent, multi potent and noni potent stem cells. So finally each and every organ system including brain cells are affected because of interplay of atoms inside elements and their bondages in making complex molecules, which are ruled by ecological stimulus i e god. So everything is basically biology and medicine even for animals, plants and microbes and other life forms. process differs in each living organisms. The biggest mystery is Brain and DNA. Brain has lots of unexplained phenomenon and even dreams are not completely understood by science that is where spiritualism/ soul touches. DNA is long molecule which has many applications as genetic engineering. genomics, personal medicine, DNA as tool for data storage, DNA in panspermia theory and many more. So everything happens to women and men and other sexes are because of Biology, Medicine and ecology. In ecology every organisms are inter connected and inter dependent. Now physics - it touch all technical aspects but it needs mathematics and statistics to lay foundation for why and how it happened and later chemistry, biology also included inside physics. Mathematics gave raise to computers and which is for fast calculation on any applications in any sciences. As physiological imbalances lead to diseases and disorders, genetic mutations, again old concept evolution was retaken to understand how new biology evolves. For evolution and disease mechanisms, epidemiology and statistics was required and statistics was as a data tool considered in all sciences now a days. Ultimate science is to break the atoms to see what is inside- CERN, but it creates lots of mysterious unanswerable questions. laws in physics were discovered and invented with mathematics to understand the universe from atoms. Theory of everything is a long search and have no answers. While searching inside atoms, so many hypothesis like worm holes and time travel born but not yet invented as far as my knowledge. atom is universe, and humans are universe they have everything that universe has. ecology is god that affects humans and climate. In business these computerized AI applications are trying to figure out human emotions by their mechanism of writing, reading, texting, posting on social media and bla bla. Arts is trying to figure out human emotions in art way.
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Ganapathy K
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The primary concern of mathematics is number, and this means the positive integers. ... In the words of Kronecker, the positive integers were created by God. Kronecker would have expressed it even better if he had said that the positive integers were created by God for the benefit of man (and other finite beings). Mathematics belongs to man, not to God. We are not interested in properties of the positive integers that have no descriptive meaning for finite man. When a man proves a positive integer to exist, he should show how to find it. If God has mathematics of his own that needs to be done, let him do it himself.
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Errett Bishop
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β€•β€œGod created the integers and the rest is the work of man.” This maxim spoken by the algebraist Kronecker reveals more about his past as a banker who grew rich through monetary speculation than about his philosophical insight. There is hardly any doubt that, from a psychological and, for the writer, ontological point of view, the geometric continuum is the primordial entity. If one has any consciousness at all, it is consciousness of time and space; geometric continuity is in some way inseparably bound to conscious thought.
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RenΓ© Thom