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Why is better to work with first-order Peano's axioms than with second-order Peano's axioms?

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#logic #first-order-logic #peano-axioms #higher-order-logic
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Correct Way to Write a Statement in First-Order Logic

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#elementary-set-theory #predicate-logic #first-order-logic
350
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Qualification of a Universal Quantification

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#notation #self-learning #predicate-logic #first-order-logic
179
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Boolean Queries in First Order Logic

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#discrete-mathematics #logic #boolean-algebra #first-order-logic
203
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Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic?

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#logic #predicate-logic #first-order-logic
296
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First-order Peano Axioms and order-completeness of $\mathbb{N}$

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#first-order-logic #natural-numbers #peano-axioms
110
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Help solving a challenge - relational algebra or second order logic

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#propositional-calculus #first-order-logic #relation-algebra
447
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How to show tautologies in FOL using truth definitions?

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#logic #predicate-logic #first-order-logic
123
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Difference Between First Order Logic and Conjunctive Queries

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#logic #first-order-logic
82
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Prove the admissibility of $\Gamma, A \vdash_N B $, from $\Gamma \vdash_N B$

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#logic #first-order-logic #formal-systems
283
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Trivial proof in ZFC

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#logic #first-order-logic
431
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Reflexivity of equality in sequent calculus

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#logic #first-order-logic
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How to determine whether a set of propositions is consistent?

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#logic #propositional-calculus #first-order-logic
116
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Difference between two quantifier placements for a single statement

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
258
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Example and explanation of first-order logic theories

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#logic #first-order-logic

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