No. If you work within its definitions and the rules of logic it is not flawed. There are mathematical statements that you cannot prove to be true or false (Godel's incompleteness theorem), but that is not a flaw.
Longer than you or anyone else will live! Thanks to Godel, there are statements about mathematical systems such that neither they, not their negation, can ever be proven to be true. This allows a whole new family of mathematical thinking to develop.
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Mathematics"mathematics" is a plural noun already, the subject is Mathematics!
Gödel's theorem states that it is impossible to make a complete set of mathematical axioms that can explain every truth about arithmetics. This means that no matter how you define the fundamental axioms of mathematics, there have to be certain statements that are true within mathematics that can not be formally proved by using the fundamental axioms. This theorem pretty much shattered the mathematician's dream of describing all of mathematics within a framework of a limited number of logical axioms. Nevertheless, the axiomatic Zermelo-Frankel set theory is able to explain all of the known mathematics from fundamental axioms, but philosophically it is still not a complete theory. Although the theorem is extremely complicated, it can be understood by anybody with a basic mathematical knowledge. This link shows a version of the proof: http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/godel.html
Gaston Godel died in 2004.
Gaston Godel was born in 1914.
Stuart Shanker has written: 'Godel's Theorem in Focus (Philosophers in Focus)' 'Philosophy of Science, Logic and Mathematics in the 20th Century'
No. If you work within its definitions and the rules of logic it is not flawed. There are mathematical statements that you cannot prove to be true or false (Godel's incompleteness theorem), but that is not a flaw.
Roberto Godel has written: 'Playa secreta'
Arkadiusz Godel was born on 1952-02-04.
Vahe . Godel has written: 'Qui parle? Que voyez-vous?'
Kurt Godel's middle name is Friedrich, or at least that's what it says on wikipedia. Check it if you like :)
A Weird Fact About Kurt Godel Is That He Had A Ritual In Which Case He Would "Make Love" To His Pet Goats.
No. According to Godel's incompleteness theorem, in any mathematical system there must be statements that cannot be proven to be true or false. You simply cannot know!
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Jean Van Heijenoort has written: 'Selected essays' -- subject(s): Logic 'Frege & Godel' 'From Frege to Go del' -- subject(s): Mathematics, Philosophy, Symbolic and mathematical Logic