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The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
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May 21, 1996 · This entry briefly describes the history and significance of Alfred North Whitehead and Bertrand Russell’s monumental but little read classic of symbolic logic, Principia Mathematica (PM), first published in 1910–1913.
- Definition of Pure Mathematics. 1. Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants.
- Symbolic Logic. 11. Symbolic or Formal Logic—I shall use these terms as synonyms—is the study of the various general types of deduction. The word symbolic designates the subject by an accidental characteristic, for the employment of mathematical symbols, here as elsewhere, is merely a theoretically irrelevant convenience.
- Implication and Formal Implication. 37. In the preceding chapter I endeavoured to present, briefly and uncritically, all the data, in the shape of formally fundamental ideas and propositions, that pure mathematics requires.
- Proper Names, Adjectives, and Verbs. 46. In the present chapter, certain questions are to be discussed belonging to what may be called philosophical grammar.
Jun 10, 2024 · Principia Mathematica, monumental work in the philosophy of mathematics and the philosophy of logic, first published in three volumes between 1910 and 1913, by the British philosophers Bertrand Russell (1872–1970) and Alfred North Whitehead (1861–1947).
- The Editors of Encyclopaedia Britannica
The Principles of Mathematics, by Bertrand Russell, was first published in 1903. This online edition is based on the public domain text as it appears in the 1996 Norton paperback reprint of the 1938 Second Edition (ISBN 0-393-31404-9).
Nov 25, 2010 · Russell explained in the introduction to his The Principles of Mathematics that he intended to “reduce the whole of [the propositions of mathematics] to certain fundamental notions of logic”. Indeed, he even made what he considered to be a very general definition of “pure mathematics” as all true logical statements that contain only ...
Sep 3, 2009 · In this groundbreaking and important work, Bertrand Russell argues that mathematics and logic are, in fact, identical and what is commonly called mathematics is simply later deductions from logical premises.
