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Jun 19, 2023 · The Principles of Mathematics (1903) Free online edition (Version 0.22: 19 Jun 2023) This is one of the foundational works of 20th century analytic philosophy, and an important contribution to logic, metaphysics, and the philosophy of mathematics. It argues that the notions and propositions of mathematics reduce to the notions and principles of ...
The Principles of Mathematics ( PoM) is a 1903 book by Bertrand Russell, in which the author presented his famous paradox and argued his thesis that mathematics and logic are identical. [1] The book presents a view of the foundations of mathematics and Meinongianism and has become a classic reference.
- Bertrand Russell
- 1903
- 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.
THE PRINCIPLES OF MATHEMATICS by BertrandRussell,M.A., LateFellowofTrinityCollege,Cambridge Vol.I First published in 1903 by Cambridge University Press.
- 2MB
- 416
Mar 1, 2004 · The Principles Of Mathematics by Bertrand Russell. Publication date 0 Publisher W. W. Norton & Company Collection universallibrary Contributor Universal Digital Library
Oct 13, 2021 · The principles of mathematics by Russell, Bertrand, 1872-1970. Publication date 1996 Topics Mathematics -- Philosophy Publisher New York : W.W. Norton Collection
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The principles of mathematics are no longer controversial. § 3. Pure mathematics uses only a few notions, and these are logical constants. § 4. All pure mathematics follows formally from twenty premisses. § 5. Asserts formal implications. § 6. And employs variables.
