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ZFC plus HOL-Standardness

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#logic #set-theory #proof-theory #higher-order-logic #second-order-logic
37
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Assumption on the bound of variables

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#logic #proof-explanation #second-order-logic
277
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How early do the second-order definable subsets of $\mathbb{N}$ occur in the Constructible Universe?

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#logic #set-theory #ordinals #second-order-logic
262
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What is a language "expressible" in second/first-order logic?

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#logic #first-order-logic #formal-languages #np-complete #second-order-logic
892
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What is Tarski’s definition of real number multiplication?

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#real-analysis #logic #real-numbers #ordered-fields #second-order-logic
102
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recursive axiomatizability

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#logic #incompleteness #second-order-logic
138
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Graph planarity definability clarification in literature?

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#graph-theory #first-order-logic #planar-graphs #second-order-logic #presburger-arithmetic
57
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Logic statements equivalence

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#general-topology #first-order-logic #second-order-logic
567
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Is there any way to reduce standard second-order logic to first-order logic?

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#logic #first-order-logic #second-order-logic
96
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Is second-order logic with full semantics effectively checkable?

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#proof-verification #first-order-logic #second-order-logic
94
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Jaakko Hintikka: "everybody has a unique hobby"

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#logic #first-order-logic #second-order-logic
73
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Applying Euler's Eq to $x^2y^{\prime\prime}-3xy^\prime+4y=0$

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#ordinary-differential-equations #second-order-logic
266
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Formally what is the first and second order induction axiom?

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#logic #induction #definition #first-order-logic #second-order-logic
143
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Maximal Realism and Continuum Hypotehsis

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#set-theory #real-numbers #second-order-logic
324
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What ordinals are computable using $\Sigma^1_2$ and $\Pi^1_2$ truth?

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#set-theory #computability #ordinals #second-order-logic #oracles

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