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Gödel’s 1st theorem is meaningless as Godel cant tell us what makes a maths statement true


anne242

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Gödel’s 1st theorem is meaningless as Godel cant tell us what makes a maths statement true

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Gödel’s 1st theorem states

a) “Any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete. In particular, for any consistent, effectively generated formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true,[1] but not provable in the theory (Kleene 1967, p. 250)


note
"... there is an arithmetical statement that is true..."

In other words there are true mathematical statements which cant be proven
But the fact is Godel cant tell us what makes a mathematical statement true thus his theorem is meaningless

Edited by Strange
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