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A total function is representable iff it is weakly representable

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#logic #definition #first-order-logic #proof-theory #arithmetic-functions
139
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First Order Logic: How to transform to prenex conjunctive normal form and Skolem form?

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#discrete-mathematics #logic #first-order-logic #predicate-logic #conjunctive-normal-form
243
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Universal Quantifier in Intuitionistic Logic

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#first-order-logic #predicate-logic #constructive-mathematics #intuitionistic-logic
121
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Syntactic category of a geometric theory has finite limits.

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#logic #category-theory #first-order-logic #topos-theory #categorical-logic
66
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Why is AC needed to assert the existence of some infinite sets but not others?

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#functions #first-order-logic #axiom-of-choice
105
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English translation to First Order Logic

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#logic #first-order-logic #predicate-logic
22
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First Order Logic: Write a sentence which makes the domain a square number

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#logic #first-order-logic #predicate-logic
799
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What is the difference between an atom and a term? (logic)

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#logic #first-order-logic #predicate-logic
117
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An example of the quotient of definable groups not being definable?

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#logic #first-order-logic #model-theory
136
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Multiple or Chained "not equals" notation

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#notation #first-order-logic
39
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Is bounded finite set theory equivalent to bounded arithmetic?

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#set-theory #arithmetic #first-order-logic #alternative-set-theories
109
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When can a statement in Second Order Logic be converted into a statement in First Order Logic

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#first-order-logic #peano-axioms #second-order-logic
123
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How is $(∀x)(Px∧Qx)→(∀x)(Px)$ not a tautology?

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#logic #first-order-logic #predicate-logic
45
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Is PA complete when multiplication is bounded?

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#arithmetic #first-order-logic #incompleteness
73
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Help to understand the validness of relation in a model

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#logic #first-order-logic #predicate-logic #model-theory #satisfiability

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