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Differential fields and rings

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#logic #formal-systems #higher-order-logic
169
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Introductory text about different stratification methods in higher-order logic and set theory

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#reference-request #logic #higher-order-logic #type-theory
194
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Are $\{X \in 2^{A}:|X|=2\}$, $\{X \subset 2^{A}:|X|=2\}$, $\{X \subset A:|X|=2\}$ first order or second order?

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#logic #set-theory #higher-order-logic
643
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Independence results in first-order PA and second-order PA

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#logic #model-theory #higher-order-logic
379
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Formal second-order statements of Archimedean and completeness properties

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#logic #higher-order-logic
1.6k
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First-order logic advantage over second-order logic

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#logic #elementary-set-theory #higher-order-logic
593
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What makes higher/second-order logic incompatible with completeness theorem?

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#logic #higher-order-logic
2.4k
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advantage of first-order logic over second-order logic

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#logic #model-theory #higher-order-logic
1.5k
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Second-order logic - monadic version and Henkin semantics

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#logic #higher-order-logic
3.7k
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Is First Order Logic (FOL) the only fundamental logic?

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#logic #elementary-set-theory #philosophy #higher-order-logic
965
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How are the full semantics of SOL and HOL specified?

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#logic #computer-science #model-theory #higher-order-logic
457
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Can decidability results for monadic second-order logic be extended to monadic higher-order logics?

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#logic #incompleteness #higher-order-logic
3.4k
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are there non-standard models of arithmetic in second order arithmetic?

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#philosophy #incompleteness #higher-order-logic
329
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Is every φ above the second level of the arithmetical hierarchy independent of PA?

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#logic #arithmetic #incompleteness #higher-order-logic
1.2k
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Is there any generalization of the hyperarithmetical hierarchy using the analytical hierarchy to formulas belonging to third-order logic and above?

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#set-theory #computability #descriptive-set-theory #higher-order-logic

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