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Why A→B∉Γ implies Γ∪{A}$\not\vdash$B

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#logic #propositional-calculus #intuitionistic-logic
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contraposition in intuitionistic logic

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#logic #constructive-mathematics #intuitionistic-logic
28
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Prove (~~x=y)→x=y in intuitionistic first order arithmetic

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#logic #induction #arithmetic #intuitionistic-logic
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Notation Proof by contradiction

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#logic #soft-question #notation #foundations #intuitionistic-logic
186
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How to prove Law of excluded middle using 10 axioms of Intuitionistic logic

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#discrete-mathematics #intuitionistic-logic
110
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Prove $\vdash \neg \neg A \leftrightarrow A$ in intuitionistic logic

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#logic #natural-deduction #intuitionistic-logic
112
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Usage of classical logical symbols in intuitionistic logic

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#logic #predicate-logic #constructive-mathematics #intuitionistic-logic
464
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Show that (using Kripke models) formula $\phi:p\vee (p\to q)$ is not tautology in intuitionistic logic

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#logic #intuitionistic-logic #kripke-models
334
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How can I show that certain inference is not intuitionistically valid?

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#intuitionistic-logic
244
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Examples for Kripke semantics for intuitionistic logic

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#intuitionistic-logic
728
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In what way intuitionism is unique in the constructive approach

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#logic #philosophy #constructive-mathematics #intuitionistic-logic
151
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Is the sublocale determined by the double negation nucleus special among all the Boolean sublocales of a locale?

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#general-topology #boolean-algebra #lattice-orders #constructive-mathematics #intuitionistic-logic
85
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Does the identity $(p \lor (q \land \neg p) ) \iff (p \lor q)$ hold in intuitionistic logic?

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#logic #boolean-algebra #intuitionistic-logic #nonclassical-logic
324
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Bijection between natural numbers and the real numbers in constructive mathematics

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#logic #constructive-mathematics #intuitionistic-logic
458
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weak counterexamples and the law of trichotomy in intuitionism

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#logic #real-numbers #philosophy #constructive-mathematics #intuitionistic-logic

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