Logic
in [Science]
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Wolfram transmission error; Euclid's IP proof **was valid** counter to Weil's remarks #637 Correcting Math Archimedes Plutonium wrote: A theorem sometimes called "Euclid's first theorem" or Euclid's principle states that if is a prime and , then or (where means divides). A corollary is that (Conway and Guy 1996). The fundamental theorem of arithmetic is another corollary (Hardy and Wright 1979).... 5 Jul 2010 07:47
was Andre Weil scatterbrained in his attack on Euclid? #635 Correcting Math A theorem sometimes called "Euclid's first theorem" or Euclid's principle states that if is a prime and , then or (where means divides). A corollary is that (Conway and Guy 1996). The fundamental theorem of arithmetic is another corollary (Hardy and Wright 1979). Archimedes Plutonium wrote: Archimed... 5 Jul 2010 06:43
more of a correcting of Andre Weil than of Euclid? #634 Correcting Math Archimedes Plutonium wrote: Archimedes Plutonium wrote: Archimedes Plutonium wrote: (snipped) quote of Weil's book "Number theory", 1984, page 5: "Even in Euclid, we fail to find a general statement about the uniqueness of the factorization of an integer ... 4 Jul 2010 17:44
maybe Weil was wrong and a proof of Uniqe Prime Factorization #633 Correcting Math Archimedes Plutonium wrote: Archimedes Plutonium wrote: (snipped) quote of Weil's book "Number theory", 1984, page 5: "Even in Euclid, we fail to find a general statement about the uniqueness of the factorization of an integer into primes; surely he may have been awar... 4 Jul 2010 17:44
maybe Weil was wrong and a proof of Uniqe Prime Factorization #632 Correcting Math Archimedes Plutonium wrote: (snipped) quote of Weil's book "Number theory", 1984, page 5: "Even in Euclid, we fail to find a general statement about the uniqueness of the factorization of an integer into primes; surely he may have been aware of it, but all he has is a statement (Eu... 4 Jul 2010 17:44
Euclid had a flaw in his proof of Infinitude of Primes since he was not privy to Unique Prime Factorization #631 Correcting Math Archimedes Plutonium wrote: Sorry about this for this becomes like a CSI detective story mystery with alot of subplots and channels. It is a better "spy story" than any spy mystery novel. Its ending is finally coming to front and center stage. Its ending is not happy but sad, for not only did most... 4 Jul 2010 17:44
Euclid had a flaw in his proof of Infinitude of Primes since he was not privy to Unique Prime Factorization #630 Correcting Math Sorry about this for this becomes like a CSI detective story mystery with alot of subplots and channels. It is a better "spy story" than any spy mystery novel. Its ending is finally coming to front and center stage. Its ending is not happy but sad, for not only did most of the mathematics community unable to deliv... 4 Jul 2010 17:44
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existence of numbers in mathematics #629 Correcting Math Alot of mathematicians and most laypersons think that because you can imagine a number larger than 10^500 that it immediately exists just as 1 or 2 exists. But existence is not a mathematical provence. Existence comes from physics and existence in physics comes from the duality of particle versus wave. Another wa... 24 Jul 2010 05:53
appending the new axiom to the Peano Axioms that precision defines finite versus infinite #629 Correcting Math Now, curiously enough, this new axiom appended to the existing Peano Axioms strengthens the Natural Numbers as defined by those axioms. New Axiom: define finite-Natural Number as all less than 10^500 (the largest meaningful number in physics) and define infinite Natural Number as all those equal to or larger ... 4 Jul 2010 03:39 |