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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 ...
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
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.
Implicature, what is suggested in an utterance, even though neither expressed nor strictly implied; Implicational universal or linguistic universal, a pattern that occurs systematically across natural languages
IMPLY can be denoted in algebraic expressions with the logic symbol right-facing arrow (→). Logically, it is equivalent to material implication, and the logical expression ¬A v B. There are two symbols for IMPLY gates: the traditional symbol and the IEEE symbol. For more information see Logic gate symbols.
Here, the presupposition (that I have a wife) triggered by the expression my wife is blocked, because it is stated in the antecedent of the conditional: That sentence doesn't imply that I have a wife. In the following example, it is not stated in the antecedent, so it is allowed to project, i.e. the sentence does imply that I have a wife.
If a sentence A entails a sentence B, sentence A cannot be true without B being true as well. [1] For instance, the English sentence "Pat is a fluffy cat" entails the sentence "Pat is a cat" since one cannot be a fluffy cat without being a cat. On the other hand, this sentence does not entail "Pat chases mice" since it is possible (if unlikely ...
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 ...