- formal implication
- In a logical calculus, one proposition A formally implies another B if there is a proof starting from A as an assumption and ending with B.
Philosophy dictionary. Academic. 2011.
formal implication
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implication — [im΄pli kā′shən] n. [ME implicacioun < L implicatio] 1. an implicating or being implicated 2. an implying or being implied 3. a) something implied, from which an inference may be drawn b) Logic a formal relationship between two propositions… … English World dictionary
formal 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 … Universalium
implication — implicational, adj. /im pli kay sheuhn/, n. 1. something implied or suggested as naturally to be inferred or understood: to resent an implication of dishonesty. 2. the act of implying: His implication of immediate changes surprised us. 3. the… … Universalium
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implication — n. 1 what is involved in or implied by something else. 2 the act of implicating or implying. Phrases and idioms: by implication by what is implied or suggested rather than by formal expression. Etymology: ME f. L implicatio (as IMPLICATE) … Useful english dictionary
Logical implication — In logic and mathematics, logical implication is a logical relation that holds between a set T of formulae and a formula B when every model (or interpretation or valuation) of T is also a model of B . In symbols,# T models B, # T Rightarrow B # T … Wikipedia
by implication — by what is implied or suggested rather than by formal expression he criticized her and, by implication, her country … Useful english dictionary
Propositional formula — In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional… … Wikipedia
Principia Mathematica — For Isaac Newton s book containing basic laws of physics, see Philosophiæ Naturalis Principia Mathematica. The title page of the shortened version of the Principia Mathematica to *56. The Principia Mathematica is a three volume work on the… … Wikipedia
