Titlebook: Logic, Meaning and Computation; Essays in Memory of C. Anthony Anderson,Michael Zel?ny Book 2001 Kluwer Academic Publishers 2001 Arithmeti

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Logical Objectsc). Let . be an interpretation, in the sense of an assignment of an intension to every predicate of . Then if . is non-trivial in the sense that at least one predicate has an extension which is neither empty nor universal in at least one possible world, there exists a second interpretation . which d

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The Lambda Calculus and Adjoint Functorsremarkable connection between lambda definability and recursive functions was developed. Only much later was the connection with rewrite systems noted, while the remarkable influence of the calculus in computer languages was also noted later. This note is to point out that the Galois connections and

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Atomic Boolean Algebras and Classical Propositional Logicalgebra to logic has been the so-called . or . of the logical system being investigated.. In the case of a formal axiomatization (logistic system) . of classical propositional logic (hereafter .), the Lindenbaum algebra . happens to be a .. (The elements of the Lindenbaum algebra . are the equivalen

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The “Triumph” of First-Order Languages vicinity: the nature and status of classes, and their place in logic, and the relationship between logic and mathematics. We also have to address significant details of logic: variables, connectives, and quantifiers.

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Equivalence Relations and Groupsems in group theory and certain results about equivalence relations, and we show how the former can be derived as consequences of the latter. This transition is accomplished by means of certain ismorphism theorems, proved in considerable generality in section 2, and applied to groups in section 3. I

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Discriminating Coded Lambda Termse way. Kleene (.) defined a coding ?.?.} and a ... ε Λ° such that: ...(Kleene did it for the .-calculus, but the result is valid also for the .-calculus.) In this style one can construct a . Δ.ε Λ° such that: ...The terms .. and Δ.are complicated. .. appears also in . under the name form. They depen

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