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Predicate Logic proof: $\forall x\in S\exists y\in S p(x,y)\to \exists y\in Sp(y,y)$

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Logic coursework assistance

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Is there a symbol for a repeated logical and operation?

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represent the following sentence by predicate calculus well formed formulas

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How to prove logical truth in predicate calculus?

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In logics , there exists for atleast two or more elements?

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Describe the predicate

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Describe the union for some sets

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Nested Quantifiers and Equivalences

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Prove this statement

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Predicate Calculus statement

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What do we mean when we say "for all n where n is an element of..."

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Two styles of semantics for a first-order language: what's to choose?

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Is "iff" the same as equality if each member is a predicate?

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How to translate this into predicate logic.

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