The Development of Mathematical Logic

ISBN-13: 9780367426248 / Angielski / Miękka / 2021 / 94 str.

P. H. Nidditch

Opis

Originally published in 1962. This clear and simple account of the growth and structure of Mathematical Logic requires no previous knowledge of logic. It outlines the four lines of thought that have been its roots and goes on to the main theories of De Morgan, Boole, Jevons, Pierce, Frege, Peano, Whitehead, Russell, Post, Hilbert and Goebel.

Spis treści

1. Purpose and Language of the Book  2. Aristotle’s Syllogistic  3. The Idea of a Complete, Automatic Language for Reasoning  4. Changes in Algebra and Geometry, 1825-1900  5. Consistency and Metamathematics  6. Boole’s Algebra of Logic  7. The Algebra of Logic after Boole: Jevons, Peirce and Schroeder  8. Frege’s Logic  9. Cantor’s Arithmetic of Classes  10. Peano’s Logic  11. Whitehead and Russell’s ‘Principia Mathematica’  12. Mathematical Logic after ‘Principia Mathematica’: Hilbert’s Metamathematics

O autorze

Nidditch\, P. H.