take as an axiom
11Separation axiom — In topology and related fields of mathematics, there are several restrictions that one often makes on the kinds of topological spaces that one wishes to consider. Some of these restrictions are given by the separation axioms. These are sometimes… …
12postulate — I noun assertion, assumed truth, assumption, axiom, conjecture, foundation, hypothesis, premise, speculation, starting point, statement, suggestion, sumptio, supposal, supposition, surmise, theorem, thesis, truism II verb advance, assume,… …
13postulate — verb (t) /ˈpɒstʃəleɪt / (say poschuhlayt) (postulated, postulating) 1. to ask, demand, or claim. 2. to claim or assume the existence or truth of, especially as a basis for reasoning. 3. to assume without proof, or as self evident; take for… …
14formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction the abstract study of propositions, statements, or assertively used …
15Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …
16Banach–Tarski paradox — The Banach–Tarski paradox is a theorem in set theoretic geometry which states that a solid ball in 3 dimensional space can be split into several non overlapping pieces, which can then be put back together in a different way to yield two identical …
17Deduction theorem — In mathematical logic, the deduction theorem is a metatheorem of first order logic.[1] It is a formalization of the common proof technique in which an implication A → B is proved by assuming A and then proving B from this assumption.… …
18mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …
19Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …
20Anxiety/Uncertainty Management — (AUM) is a theory developed by Dr. William B. Gudykunst in an attempt to define what makes up effective communication. Gudykunst’s research began in 1985 using existing theories as a starting point. Specifically, the existing research of… …
