answersLogoWhite

0


Best Answer

He found the incompleteness theorem

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What did godel did for mathematics?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

Is mathematics flawed?

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.


How long to know all the mathematics?

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.


What was Kurt Godel's IQ?

iq170-190 sd15


What is the plural form of mathematics?

Mathematics"mathematics" is a plural noun already, the subject is Mathematics!


What is Godel's theorem and the limits of science?

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

Related questions

When did Gaston Godel die?

Gaston Godel died in 2004.


When was Gaston Godel born?

Gaston Godel was born in 1914.


What has the author Stuart Shanker written?

Stuart Shanker has written: 'Godel's Theorem in Focus (Philosophers in Focus)' 'Philosophy of Science, Logic and Mathematics in the 20th Century'


Is mathematics flawed?

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.


What has the author Roberto Godel written?

Roberto Godel has written: 'Playa secreta'


When was Arkadiusz Godel born?

Arkadiusz Godel was born on 1952-02-04.


What has the author Vahe Godel written?

Vahe . Godel has written: 'Qui parle? Que voyez-vous?'


What is Kurt godel's middle name?

Kurt Godel's middle name is Friedrich, or at least that's what it says on wikipedia. Check it if you like :)


What is a weird fact about Kurt Godel?

A Weird Fact About Kurt Godel Is That He Had A Ritual In Which Case He Would "Make Love" To His Pet Goats.


If anybody know about mathematics everything can you say that he know every subject?

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!


How tall was Kurt godel?

5'6 (167cm)


What has the author Jean Van Heijenoort written?

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