Logic, Meaning and Computation Essays in Memory of Alonzo Church
| Other Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2001, 2001
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| Edition: | 1st ed. 2001 |
| Series: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Logic, truth and number: The elementary genesis of arithmetic
- Second-order logic
- A representation of relation algebras using Routley-Meyer frames
- Church’s set theory with a universal set
- Axioms of infinity in Church’s type theory
- Logical objects
- The lambda calculus and adjoint functors
- Atomic Boolean algebras and classical propositional logic
- Improved decision procedures for pure relevant logic
- The “triumph” of first-order languages
- Equivalence relations and groups
- Discriminating coded lambda terms
- ?-calculus as a foundation for mathematics
- Peano’s lambda calculus: The functional abstraction implicit in arithmetic
- The undecidability of ?-definability
- A construction of the provable wellorderings of the theory of species
- Semantics for first and higher order realizability
- Language and equality theory in logic programming
- Alternative (1*): A criterion of identity for intensional entities
- Nominalist paraphrase and ontological commitment
- Peace, justice and computation: Leibniz’ program and the moral and political significance of Church’s theorem
- Tarski’s theorem and NFU
- Church’s theorem and randomness
- Russellian type theory and semantical paradoxes
- The logic of sense and denotation: Extensions and applications
- Analysis, synonymy and sense
- The very possibility of language