completely reducible set
11Noncommutative harmonic analysis — In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin… …
12Logicism — is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.[1] Bertrand Russell and Alfred North Whitehead… …
13Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown …
14Recursion theory — Recursion theory, also called computability theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown to include the study of generalized computability… …
15logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher …
16Reductionism — Descartes held that non human animals could be reductively explained as automata De homine, 1662. Reductionism can mean either (a) an approach to understanding the nature of complex things by reducing them to the interactions of their parts, or… …
17Peirce, Charles Sanders — American pragmatism Peirce Cheryl Misak INTRODUCTION Charles Sanders Peirce (1839–1914), one of America’s greatest philosophers, mathematicians, and logicians, was a difficult and not altogether pleasant character. That, combined with what the… …
18Phenomenology (The beginnings of) — The beginnings of phenomenology Husserl and his predecessors Richard Cobb Stevens Edmund Husserl was the founder of phenomenology, one of the principal movements of twentieth century philosophy. His principal contribution to philosophy was his… …
19PHILOSOPHY, JEWISH — This article is arranged according to the following outline: WHAT IS JEWISH PHILOSOPHY? recent histories of jewish philosophy biblical and rabbinic antecedents bible rabbinic literature hellenistic jewish philosophy philo of alexandria biblical… …
20History of the Church-Turing thesis — This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …
