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Preface paradox: The author of a book may be justified in believing that all their statements in the book are correct, at the same time believing that at least one of them is incorrect. Problem of evil: (Epicurean paradox) The existence of evil seems to be incompatible with the existence of an omnipotent, omniscient, and morally perfect God.
Zeno's paradoxes are a series of philosophical arguments presented by the ancient Greek philosopher Zeno of Elea (c. 490–430 BC), [1] [2] primarily known through the works of Plato, Aristotle, and later commentators like Simplicius of Cilicia. [2] Zeno devised these paradoxes to support his teacher Parmenides's philosophy of monism, which ...
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]
This category contains paradoxes in mathematics, but excluding those concerning informal logic. "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction". "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction".
The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes (2004) is a book by British author David Darling. Summary The book is presented in a ...
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.
Newcomb's paradox was created by William Newcomb of the University of California's Lawrence Livermore Laboratory. However, it was first analyzed in a philosophy paper by Robert Nozick in 1969 [1] and appeared in the March 1973 issue of Scientific American, in Martin Gardner's "Mathematical Games". [2]
He was also famous for two paradoxes of probability, known now as Bertrand's Paradox and the Paradox of Bertrand's box. There is another paradox concerning game theory that is named for him, known as the Bertrand Paradox. In 1849, he was the first to define real numbers using what is now termed a Dedekind cut. [2] [3]
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