Resultado da Busca
Há 1 dia · Constructive set theory. Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory . The same first-order language with " " and " " of classical set theory is usually used, so this is not to be confused with a constructive types approach.
Há 1 dia · The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept. A function is often denoted by a letter such as f, g or h.
Há 1 dia · Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
Há 4 dias · Work in ZFCA Z F C A and permutation models has preceded forcing by several decades. Was it used to settle the question of the Generalized Continuum Hypothesis GCH G C H when urelements are admitted?
Há 3 dias · Hall's marriage theorem is a result in combinatorics that specifies when distinct elements can be chosen from a collection of overlapping finite sets. It is equivalent to several beautiful theorems in combinatorics, including Dilworth's theorem.
Há 5 dias · 1. We have three events A, B, C. A, B, C. Also we have, P(A ∩ B ∩ C) = P(A) −P(A ∩ (B¯¯¯¯ ∪C¯¯¯¯)). P ( A ∩ B ∩ C) = P ( A) − P ( A ∩ ( B ¯ ∪ C ¯)). From above result how can prove that.
Há 3 dias · Given an oracle for the atomic or elementary diagram of a model (M,∈M) of set theory, for example, there are senses in which one may compute M-generic filters G⊂ℙ∈M over that model and compute the diagrams of the corresponding forcing extensions M[G].
