Infinitesimals are too small for countably infinite fair lotteries. Thought.PRUSS, A. (2014) "Infinitesimals Are Too Small for Countably Infinite Fair Lotteries." Synth- ese 191(6): 1051-1057.Pruss, A. [2014]: `Infinitesimals Are Too Small for Countably Infinite Fair Lotteries', Synthese...
For one irrational number there is indeed a deterministic generating procedure we can use to generate an associated countably infinite set of rational numbers. So what? Will the countably infinite set of rational numbers generated for the next irrational you pick re-use any of the rational ...
We show that, in fact, every positive independence density of a countably infinite hypergraph with hyperedges of bounded size is equal to the independence density of some finite hypergraph whose hyperedges are no larger than those in the infinite hypergraph. This answers a question of Bonato, ...
Examples of countable sets includethe integers, algebraic numbers, and rational numbers. Georg Cantor showed that the number of real numbers is rigorously larger than a countably infinite set, and the postulate that this number, the so-called "continuum," is equal to aleph-1 is called the co...
real number. This means that the smallest that a probability can ever be is zero and that it cannot be infinite. The set of numbers that we may use are real numbers. This refers to both rational numbers, also known as fractions, and irrational numbers that cannot be written as fractions....