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$\Sigma \vDash \exists x a(x)$ if and only if $\Sigma \vDash (\neg \forall x( \neg a(x))).$

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#logic #proof-explanation #first-order-logic
182
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Is the set of bounded quantified sentences decidable in PA

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#proof-verification #logic #first-order-logic #peano-axioms
340
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What system was Grothendieck working in when he introduced universes?

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#logic #reference-request #set-theory #math-history
273
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I seem to find that p↔(q↔r) ≡ (p↔q)↔r ≡ (p↔r)↔q

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#logic #self-learning #equivalence-relations
654
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CNF with Nested Quantifiers

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#logic #first-order-logic #predicate-logic #quantifiers #conjunctive-normal-form
883
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Logic. Does RHS imply LHS?

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#discrete-mathematics #logic #predicate-logic #quantifiers
61
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How can I write the following propositional logic in symbol format?

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#logic #computer-science #logic-translation
146
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Is Von Neumann's function application operation defined for all functions and all arguments?

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#logic #set-theory
83
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Does the LHS implies the RHS?

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#logic
140
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application of omitting types theorem in graph theory or some other discrete structure?

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#logic #first-order-logic #model-theory
149
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How to express the special property of a partial order?

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#abstract-algebra #logic #propositional-calculus #lattice-orders
211
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Regarding Extenders

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#logic #set-theory #large-cardinals
1k
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Predicate logic statements with one and multi parameters

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#logic #induction #proof-explanation #predicate-logic
205
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Use logical deduction to show that the following propositions are unconditionally true

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#logic #propositional-calculus #sequent-calculus
99
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Logical deduction to show that the following proposition is unconditionally true

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#logic

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