A statement which appears self-contradictory or contrary to expectations, also known as an antinomy . Curry (1977, p. 5) uses the term
pseudoparadox to describe an apparent paradox for
which, however, there is no underlying actual contradiction. Bertrand Russell classified
known logical paradoxes into seven categories.
Ball and Coxeter (1987) give several examples of geometrical paradoxes.
See also Allais Paradox ,
Aristotle's Wheel Paradox ,
Arrow's Paradox ,
Banach-Tarski
Paradox ,
Barber Paradox ,
Bernoulli's
Paradox ,
Berry Paradox ,
Bertrand's
Problem ,
Bottle Imp Paradox ,
Buchowski
Paradox ,
Burali-Forti Paradox ,
Cantor's
Paradox ,
Catalogue Paradox ,
Coastline
Paradox ,
Coin Paradox ,
Elevator
Paradox ,
Epimenides Paradox ,
Eubulides
Paradox ,
Grelling's Paradox ,
Hausdorff
Paradox ,
Hempel's Paradox ,
Hypergame ,
Leonardo's Paradox ,
Liar's
Paradox ,
Potato Paradox ,
Pseudoparadox ,
Richard's Paradox ,
Russell's
Antinomy ,
Saint Petersburg Paradox ,
Siegel's Paradox ,
Simpson's
Paradox ,
Skolem Paradox ,
Smarandache
Paradox ,
Socrates' Paradox ,
Sorites
Paradox ,
Thomson Lamp Paradox ,
Unexpected
Hanging Paradox ,
Zeeman's Paradox ,
Zeno's
Paradoxes
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References Ball, W. W. R. and Coxeter, H. S. M. Mathematical
Recreations and Essays, 13th ed. Bunch,
B. Mathematical
Fallacies and Paradoxes. Carnap, R. Introduction
to Symbolic Logic and Its Applications. Church,
A. "Paradoxes, Logical." In The
Dictionary of Philosophy, rev. enl. ed. Curry, H. B. Foundations
of Mathematical Logic. Czyz, J. Paradoxes
of Measures and Dimensions Originating in Felix Hausdorff's Ideas. Erickson, G. W. and Fossa, J. A. Dictionary
of Paradox. Kasner,
E. and Newman, J. R. "Paradox Lost and Paradox Regained." In Mathematics
and the Imagination. Northrop,
E. P. Riddles
in Mathematics: A Book of Paradoxes. O'Beirne,
T. H. Puzzles
and Paradoxes. Quine,
W. V. "Paradox." Sci. Amer. 206 , 84-96, Apr. 1962. Székely,
G. J. Paradoxes
in Probability Theory and Mathematical Statistics, rev. ed. Referenced on Wolfram|Alpha Paradox
Cite this as:
Weisstein, Eric W. "Paradox." From MathWorld https://mathworld.wolfram.com/Paradox.html
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