paradox of infinity

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• Infinity — In mathematics, infinity is often used in contexts where it is treated as if it were a number (i.e., it counts or measures things: an infinite number of terms ) but it is a different type of number from the real numbers. Infinity is related to… …   Wikipedia

• Paradox — For other uses, see Paradox (disambiguation). Further information: List of paradoxes A paradox is a seemingly true statement or group of statements that lead to a contradiction or a situation which seems to defy logic or intuition. Typically,… …   Wikipedia

• infinity — /in fin i tee/, n., pl. infinities. 1. the quality or state of being infinite. 2. something that is infinite. 3. infinite space, time, or quantity. 4. an infinite extent, amount, or number. 5. an indefinitely great amount or number. 6. Math. a.… …   Universalium

• Infinity-Borel set — In set theory, a subset of a Polish space X is infin; Borel if itcan be obtained by starting with the open subsets of X, and transfinitely iterating the operations of complementation and wellordered union (but see the caveat below). Formal… …   Wikipedia

• Arrow paradox (disambiguation) — Arrow paradox may mean: *Zeno s paradox about infinity and the movement of an arrow *Kenneth Arrow s impossibility theorem about social choice and voting *Kenneth Arrow s fundamental paradox of information: its value for the purchaser is not… …   Wikipedia

• Irresistible force paradox — The Irresistible force paradox, also the unstoppable force paradox, is a classic paradox formulated as follows:: What happens when an irresistible force meets an immovable object? Common responses to this paradox resort to logic and… …   Wikipedia

• Hilbert's paradox of the Grand Hotel — is a mathematical paradox about infinite sets presented by German mathematician David Hilbert (1862–1943). The Paradox of the Grand Hotel Consider a hypothetical hotel with infinitely many rooms, all of which are occupied that is to say every… …   Wikipedia

• Ross–Littlewood paradox — A graph that shows the number of balls in and out of the vase for the first ten iterations of the problem. The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract… …   Wikipedia

• Cantor's paradox — In set theory, Cantor s paradox is the theorem that there is no greatest cardinal number, so that the collection of infinite sizes is itself infinite. Furthermore, it follows from this fact that this collection is not a set but a proper class; in …   Wikipedia

• D'Alembert's paradox — In fluid dynamics, d Alembert s paradox (or the hydrodynamic paradox) is a contradiction reached in 1752 by French mathematician Jean le Rond d Alembert.[1] D Alembert proved that – for incompressible and inviscid potential flow – the drag force… …   Wikipedia

• St. Petersburg paradox — In economics, the St. Petersburg paradox is a paradox related to probability theory and decision theory. It is based on a particular (theoretical) lottery game (sometimes called St. Petersburg Lottery ) that leads to a random variable with… …   Wikipedia