Search results
Results From The WOW.Com Content Network
The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence ...
Under this view, the sentence about Donovan would have the primary proposition "Donovan is poor and happy" and the secondary proposition "There is a contrast between poverty and happiness". The sentence about yewberry jelly contains the two propositions "Yewberry jelly will give you an awful stomachache" and "Yewberry jelly is toxic in the ...
In propositional logic, modus ponens (/ ˈ m oʊ d ə s ˈ p oʊ n ɛ n z /; MP), also known as modus ponendo ponens (from Latin 'mode that by affirming affirms'), [1] implication elimination, or affirming the antecedent, [2] is a deductive argument form and rule of inference. [3] It can be summarized as "P implies Q. P is true. Therefore, Q ...
Material implication does not closely match the usage of conditional sentences in natural language. For example, even though material conditionals with false antecedents are vacuously true , the natural language statement "If 8 is odd, then 3 is prime" is typically judged false.
Logical consequence (also entailment or logical implication), the relationship between statements that holds true when one logically "follows from" one or more others; Material conditional (also material implication), a logical connective and binary truth function typically interpreted as "If p, then q"
A conditional sentence expressing an implication (also called a factual conditional sentence) essentially states that if one fact holds, then so does another. (If the sentence is not a declarative sentence, then the consequence may be expressed as an order or a question rather than a statement.)
In the implication " implies ", is called the antecedent and is called the consequent. [2] Antecedent and consequent are connected via logical connective to form a proposition . If X {\displaystyle X} is a man, then X {\displaystyle X} is mortal.
In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P.