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Exercise 0.6 in Algebra by Roger Godement

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#logic #predicate-logic
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If a theorem is $\kappa$-categorical and has a model of order $\kappa$ when $\kappa<\aleph_0$ , then it's complete [FALSE CLAIM]

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#logic #first-order-logic #predicate-logic #model-theory
70
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How to express the ellipsis in predicate logic?

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#predicate-logic
46
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Prove or disprove: Given signature and structures, isomorphism... Then the structure is unique

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#discrete-mathematics #logic #proof-writing #first-order-logic #predicate-logic
205
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How to convert ... to logical symbols?

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#predicate-logic #formal-proofs #logic-translation
861
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Transform a formula via prenex normal form to to Skolem normal form

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#proof-verification #logic #first-order-logic #predicate-logic
100
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Complete theory with quantifier elimination has finite boolean algebra

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#logic #predicate-logic #model-theory #boolean-algebra #quantifier-elimination
748
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Verification of the translation of English sentences into predicate logic.

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#proof-verification #logic #predicate-logic #quantifiers #logic-translation
1.8k
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Sequences Eventually and Frequently in a Set

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#real-analysis #sequences-and-series #analysis #logic #predicate-logic
31
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What is the difference in meaning between these two antecedents ...?

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#propositional-calculus #first-order-logic #predicate-logic #formal-proofs #logic-translation
305
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Proof of the deduction theorem in sequent calculus

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#logic #first-order-logic #predicate-logic #sequent-calculus
51
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Are these predicate formulas equivalent?

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#logic #first-order-logic #predicate-logic
32
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Can truth of a single predicate be defined by another language that only shares that predicate?

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#logic #first-order-logic #predicate-logic
161
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sequent calculus for first order logic

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#predicate-logic #proof-theory #sequent-calculus
139
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Paradox,shortest proof

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#number-theory #predicate-logic #proof-theory #paradoxes

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