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Can Peano arithmetic prove the consistency of "baby arithmetic"?

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#logic #arithmetic #predicate-logic #peano-axioms #incompleteness
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Primitive Recursion representation in first order PA (Gödel theorems)

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#logic #first-order-logic #recursion #incompleteness
173
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Is type theory complete by definition?

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#logic #incompleteness #type-theory
87
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Inconsistency and omega-inconsistency (Godel's Incompleteness Theorems)

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#first-order-logic #incompleteness
178
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Is consistency with the $\omega$-rule absolute to $\omega$-models?

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#logic #model-theory #fake-proofs #proof-theory #incompleteness
109
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Provable equivalence of two Gödel sentences

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#logic #incompleteness
40
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Is there an equivalent to Godel's theorem that looks like "This statement is provable."?

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#incompleteness #paradoxes
112
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Is PA provably definable?

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#logic #peano-axioms #incompleteness
84
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How Gödel's first incompleteness theorem can be used for proving statements true or false

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#set-theory #incompleteness
85
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Why can't we add a self-consistency axiom to an already consistent system?

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#logic #incompleteness #formal-systems
166
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Incompleteness Theorem and Proof by Contradiction.

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#logic #incompleteness
57
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Can someone please help my differentiate Gödel’s 2 Incompleteness Theorems

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#incompleteness
78
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Is the Goedel sentence of Peano arithmetic provable in true arithmetic?

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#logic #proof-theory #incompleteness
73
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Using Gödel's incompleteness theorems to strengthen a proof system

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#logic #incompleteness
42
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What happens to provability of consistency if we restrict semantics to $\omega$-models?

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#logic #first-order-logic #incompleteness

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