Alfred North Whitehead

Principia Mathematica to *56 (eBook, PDF)

• Format: PDF

Produktbeschreibung

The great three-volume Principia Mathematica is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premisses and primitive ideas, and so to prove that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part 1 (in which the logical properties of propositions, propositional functions, classes and relations are established); section 6 of Part 2 (dealing with unit classes and couples); and Appendices A and B (which give further developments of the argument on the theory of deduction and truth functions).

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 11. September 1997
• Englisch
• ISBN-13: 9780511893476
• Artikelnr.: 40612837

Autorenporträt

An English mathematician and philosopher, Alfred North Whitehead provided the foundation for the school of thought known as process philosophy. With an academic career that spanned from Cambridge to Harvard, Whitehead wrote extensively on mathematics, metaphysis, and philosophy. He died in Massachusetts in 1947.

Inhaltsangabe

Part I. Mathematical Logic: 1. The theory of deduction
2. Theory of apparent variables
3. Classes and relations
4. Logic or relations
5. Products and sums of classes
Part II. Prolegomena to Cardinal Arithmetic: 6. Unit classes and couples
Appendix A. Type theory of dependant variables and propositions containing apparent variables
Appendix B. Truth functions and others.