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The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
Russell's teapot is an analogy, formulated by the philosopher Bertrand Russell (1872–1970), to illustrate that the philosophic burden of proof lies upon a person making empirically unfalsifiable claims, as opposed to shifting the burden of disproof to others. Russell specifically applied his analogy in the context of religion. [1]
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS [7] (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics , logic , set theory , and various areas of analytic philosophy .
In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician, Bertrand Russell, in 1901. [1] [2] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. [3]
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.
In Zermelo–Fraenkel (ZF) set theory, the natural numbers are defined recursively by letting 0 = {} be the empty set and n + 1 (the successor function) = n ∪ {n} for each n. In this way n = {0, 1, …, n − 1} for each natural number n. This definition has the property that n is a set with n elements.
See what the golden era of the Celtics looked like under the leadership of Bill Russell.
Russell, Bertrand (1903). "Chapter II. Symbolic Logic". The Principles of Mathematics. p. § 19 n. 1. ISBN 0-415-48741-2. Russell suggests a truth-functional notion of logical conditionals, which (among other things) entails that a false proposition will imply all propositions.
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