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15
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Formally Introducing the Intersection Symbol into ZFC Set Theory

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#set-theory #first-order-logic
68
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If $L_1$ is perpendicular to line $K$, and $L_2$ is also perpendicular to line $K$, then $L_1$ is parallel to $L_2$.

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#geometry #logic #first-order-logic #alternative-proof #natural-deduction
230
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Expansion of bounded uniqueness quantifier

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#logic #first-order-logic #predicate-logic #quantifiers #formal-proofs
405
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What does it really mean for a model to be pointwise definable?

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#logic #set-theory #first-order-logic #model-theory #meta-math
69
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Are those conditions sufficient for a theory to prove existence of a model of it?

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#set-theory #first-order-logic #model-theory
171
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Prove logical equivalences in first order logic

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#logic #first-order-logic
173
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compactness model theory question

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#first-order-logic #model-theory
60
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Is it possible that P is a tautology but P[t'/x] is a contradiction?

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#first-order-logic #predicate-logic
70
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existence of a particular first-order sentence

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#logic #computer-science #first-order-logic #model-theory #satisfiability
474
Views

Define "first-order language" without using it

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#first-order-logic #formal-languages #foundations #formal-grammar
377
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Schoenfield's Mathematical Logic

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#logic #first-order-logic #predicate-logic #model-theory
58
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Identities in first order logic

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#logic #first-order-logic #quantifiers
82
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Is it possible to check the validity of the following theorem in Group Theory automatically by a computer? If so, how?

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#linear-algebra #first-order-logic #formal-proofs #automated-theorem-proving
115
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what is the negation of $\exists^{=1}x\phi(x)$?

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#logic #first-order-logic #predicate-logic
60
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Is the theory of sheaves a first order theory?

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#logic #first-order-logic #model-theory

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