By Michael Detlefsen, David Charles McCarty, John B. Bacon

First released within the so much formidable foreign philosophy venture for a iteration; the Routledge Encyclopedia of Philosophy.Logic from A to Z is a different word list of phrases utilized in formal common sense and the philosophy of mathematics.Over 500 entries comprise key words present in the learn of:* common sense: Argument, Turing computer, Variable* Set and version idea: Isomorphism, functionality* Computability idea: set of rules, Turing computer* Plus a desk of logical symbols.Extensively cross-referenced to aid comprehension and upload aspect, good judgment from A to Z presents an critical reference resource for college kids of all branches of good judgment.

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Extra resources for Logic from A to Z

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More specifically, a homomorphism maps the distinguished elements, relations and operations of A into corresponding elements, relations and operations of B. In formal logic, a homomorphism is a structure-preserving function between similar models. See Endomorphism; Isomorphism. Horned syllogism See Dilemma. Hypothetical syllogism See Syllogism, hypothetical. 51 I Identity function The identity function maps every element to itself: for all x, I…x† ˆ x. See Recursive function. Identity, law of See Law of identity.

Dedekind defined a set to be infinite when it could be put into one-one correspondence with a proper subset of itself. See Finite. Infinity, axiom of See Axiom of infinity. Injection See One-one correspondence. Input (of a function) See Function. Intension Term of logic and linguistics. The contemporary term `intension' derives from the traditional logical term `comprehension'. According to Arnauld and Nicole in their Port-Royal Logic (1662), the comprehension of a general idea or term is the set of all attributes or properties it entails.

See Derivability conditions. Henkin's problem A problem posed in 1952 by Leon Henkin. It can be stated as follows. Let T be a standard first-order formal system of arithmetic adequate for the representation of all recursive relations of natural numbers, and let H be a formula of the language of T, which expresses in T the idea that H itself is provable in T. Is H provable in T or independent of T? Henkin's problem was solved by LoÈb in 1955. He showed that any such H is provable in T. See Henkin sentence; LoÈb's theorem.

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