godel proved that mathmatics is self-contradictory-do you agree?

Question

the mathematician Bunch and the mathmaticians Nagel and Newman state " what godel proved was the lair paradox it is a statements x that says x is not provable Therefore if x is provable it is not provable a contradiction If on the other hand x is not provable the its situation is more complicated. If x says it is not provable and it really is not provable then x is true but not provable. RATHER THAN ACCEPT A SELF-CONTRADICTORY STATEMENT MATHEMATICIANS SETTLE FOR THE SECOND CHOICE"

here is aclear demonstration by 3 mathematicians that godel proved mathemativs is incinsistent Dean shows that this leads to the meaninglessness of mathematics at a fundamental level What do you think

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Answer 1

Seems someone just asked this.
Godel did not prove that math is self contradictory.
He only proved that math is not immune from the same sort of self contradictory and meaningless statements that any set of language is subject to.
That is, it is possible to say in math "this statement is false" just like you can say in English "I am a liar".
This does not make math meaningless or self contradictory any more than it makes English (or any other language) meaningless or self contradictory. It only means that we need to be careful what we say and how we say it, whether in math or English or any other language.
I see you're asked quite a few questions this morning, all along these same lines, and all teasers for this website. What's your point? Does Godel's paradox disturb you so much that you cannot do anything else this morning, besides repeatedly post questions about it? Are you trying to sell these books? Are you trying to use Godel's paradox to get out of learning math for your HS or College diploma? Whatever it is, get off it. It's getting old.

Answer 2

No. Godel proved that math is forever incomplete, and cannot be fully contained in a finite system.

For, if math is finite and complete, then it can be contained in a system MT, for mathematical truth. Let G = "The system MT can never prove this statement." If MT could prove G, then G would be false, and you cannot prove false statements. Therefore MT cannot prove G, and G is therefore a true statement.

It turns out, in fact (according to Godel, himself), that for any given MT, G is equivalent to a G' which says a certain polynomial equation has some solution in the natural numbers. Therefore, G', and therefore G, is a real mathematical truth that cannot be proven by MT, so MT is not all of mathematics, which must be incomplete. QED

Answer 3

Gödel did not "prove that math was self-contradictory". There are no contradictions in math. He showed that in math (along with other systems with axioms and true/false statuses) it's possible to construct a statement that can't be proven true nor false. That hardly puts things like Pythagoras's Theorem in the category of "opinion".

There's a reason why the book you're citing is filed under "philosophy". It's just another bogus argument that mystics are trying to use to justify solipsism.

Answer 4

Goldel showed the Mathematics is not complete. Some questions are not answerable. Self-reference is one area where Mathematics may not have an answer.

No doubt I could find three other mathematicians who would dis-agree with this group.