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15
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Does $=$ stand for $\iff$ in some way?

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#complex-analysis #logic #first-order-logic
317
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Peano Arithmetic - formulas

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#logic #first-order-logic #peano-axioms
136
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peano arithmetic - PA sentences

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#logic #first-order-logic #peano-axioms #formal-proofs
243
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Using $\aleph_0$-categoricity in proof of completeness of DLO

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#logic #order-theory #first-order-logic
340
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Proving that $\neg\forall x\neg G(a,x) \vdash\exists xG(a,x)$

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#logic #first-order-logic #quantifiers #natural-deduction
127
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Applying resolution to Predicate Calculus

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#predicate-logic #first-order-logic
483
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Show that $X\subseteq \mathbb{N}$ is computably enumerable iff it is the image of a computable function

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#first-order-logic #computability
89
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Prove that $(∀m)(∀n)(0 < m \rightarrow (m^− < n^-\leftrightarrow m < n))$

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#logic #first-order-logic #axioms #peano-axioms
159
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Use Peano Axioms to prove $(∀m)(∀n)(0 < n ⇒ (∃!q)(∃r)(m = q·n + r∧r < n)) $

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#logic #first-order-logic #axioms #peano-axioms
140
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Verification:How can we modifiy principle of function definition to allow division over the natural numbers?

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#logic #definition #first-order-logic #axioms #peano-axioms
102
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Verification: Is it the theorem to we need to define the predecessor a natural number?

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#logic #first-order-logic #axioms #peano-axioms
47
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Expressing an assertion as first-order sentences in ZF Set theory

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#elementary-set-theory #first-order-logic
99
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Find an infinite sequence of statements so that truthness of all sequence elements is unprovable

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#logic #first-order-logic #turing-machines #incompleteness #collatz-conjecture
1.3k
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Prove cancellation law using peano axioms.

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#logic #first-order-logic #axioms #peano-axioms #formal-proofs
1k
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Prove commutative law of multiplication using peano axioms.

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#logic #first-order-logic #axioms #peano-axioms #formal-proofs

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