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Doubts about Goedel Completeness Theorem

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#logic #first-order-logic #predicate-logic #proof-theory #formal-proofs
206
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Exercise 2 (p. 30) on W. Rautenberg - A concise introduction to Logic.

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#logic #propositional-calculus #proof-theory #natural-deduction
456
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Translating from First Order Logic to Order-Sorted Logic

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#logic #first-order-logic #proof-theory
77
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Is there a statement which can not be proved in any axiom systems

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#axioms #proof-theory #incompleteness
420
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Can all proven theorems be proven by contradiction?

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#logic #proof-writing #proof-theory
118
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Soundness of cut in Gentzen's System LK

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#logic #proof-theory #sequent-calculus
1.3k
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Is Fermat's last theorem provable in Peano arithmetic?

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#number-theory #diophantine-equations #proof-theory #incompleteness #peano-axioms
450
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Natural deduction in first-order logic

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#logic #first-order-logic #proof-theory #natural-deduction #formal-proofs
197
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Equivalence in natural deduction in First-order logic

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#logic #first-order-logic #proof-theory #natural-deduction #formal-proofs
128
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Equivalence in Natural deduction in First-order logic 2

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#logic #first-order-logic #proof-theory #natural-deduction #formal-proofs
1.2k
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George Boolos and Gödel's Second Incompleteness Theorem

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#logic #proof-theory #incompleteness #peano-axioms
66
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Determining whether proofs of the Pythagorean theorem are essentially the same, or essentially different

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#euclidean-geometry #alternative-proof #proof-theory
2.3k
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Predicate Logic, Proof of validity . How to remove negation infront of existential quantifier?

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#logic #first-order-logic #predicate-logic #proof-theory #natural-deduction
88
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Is there software to validate formal demonstrations?

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#logic #math-software #proof-theory
60
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About proofs that we cannot verify every step by hand

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#philosophy #proof-theory

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