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Consider the string $(∀x)(∀y)(f(x) = y → ((∀z)g(z) = f(x) ≡ (∀z)g(z) = y))$

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#first-order-logic #predicate-logic #quantifiers
1.6k
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Universal Quantification and existential quantification question

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#logic #predicate-logic #quantifiers
592
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What represents $\exists xP(x)\wedge\neg\exists yQ(y)\wedge\forall z(P(z)\Rightarrow Q(z))$ in $\mathbb R$?

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#logic #first-order-logic #predicate-logic #quantifiers
44
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Predicate Logic expressions

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#logic #predicate-logic #logic-translation
53
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How do you write the question of the classification of simple groups as a mathematical formula?

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#finite-groups #predicate-logic
134
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Logical Validity of predicate logic argument

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#discrete-mathematics #logic #first-order-logic #predicate-logic
777
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Uniqueness quantification definition

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
97
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Describe a lattice using predicate language

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#discrete-mathematics #logic #first-order-logic #predicate-logic #order-theory
198
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Proving decidability of $(\mathbb N, +)$ with Quantifier elimination and evaluating basic formulas

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#logic #predicate-logic #model-theory #decidability
214
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Formal Deduction -

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#logic #first-order-logic #predicate-logic
1.8k
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Proof for Negation of existential quantifier : Formal Deduction && Predicate Logic

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#logic #first-order-logic #predicate-logic #quantifiers #natural-deduction
181
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Is the set of formulas equivalent to a bounded formula decidable

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#logic #predicate-logic #computational-complexity #natural-numbers #formal-systems
98
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Order of quantification with an induction argument

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#logic #induction #predicate-logic #quantifiers
202
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Bourbaki theory of set question

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#elementary-set-theory #first-order-logic #predicate-logic
117
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What is the difference between these two statements; which is true and which is false?

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#proof-writing #predicate-logic

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