Mathematics
See also: Category:Mathematics paradoxes and Paradoxes of set theory- Cramer's paradox: the number of points of intersection of two higher-order curves can be greater than the number of arbitrary points needed to define one such curve.
- Elevator paradox: Elevators can seem to be mostly going in one direction, as if they were being manufactured in the middle of the building and being disassembled on the roof and basement.
- Interesting number paradox: The first number that can be considered "dull" rather than "interesting" becomes interesting because of that fact.
- Nontransitive dice: You can have three dice, called A, B, and C, such that A is likely to win in a roll against B, B is likely to win in a roll against C, and C is likely to win in a roll against A.
- Russell's paradox: Does the set of all those sets that do not contain themselves contain itself?
Read more about this topic: List Of Paradoxes
Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)