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[1] [2] Another way of expressing this is that a proposition is true only if proven true, and a proposition is false only if proven false. If no proof is offered (in either direction), then the proposition can be called unproven, undecided, inconclusive, an open problem or a conjecture.
According to reliabilism, this is the case because deductions are truth-preserving: they are reliable processes that ensure a true conclusion given the premises are true. [ 3 ] [ 51 ] [ 52 ] Some theorists hold that the thinker has to have explicit awareness of the truth-preserving nature of the inference for the justification to be transferred ...
Affirming a disjunct – concluding that one disjunct of a logical disjunction must be false because the other disjunct is true; A or B; A, therefore not B. [10] Affirming the consequent – the antecedent in an indicative conditional is claimed to be true because the consequent is true; if A, then B; B, therefore A. [10]
The simplest approach to truth values means that the statement may be "true" in one case, but "false" in another. In one sense of the term tautology , it is any type of formula or proposition which turns out to be true under any possible interpretation of its terms (may also be called a valuation or assignment depending upon the context).
Deductive arguments are sometimes referred to as "truth-preserving" arguments. For example, consider the argument that because bats can fly (premise=true), and all flying creatures are birds (premise=false), therefore bats are birds (conclusion=false). If we assume the premises are true, the conclusion follows necessarily, and it is a valid ...
Neither the United States nor China would win a trade war, the Chinese Embassy in Washington said on Monday, after U.S. President-elect Donald Trump threatened to slap an additional 10% tariff on ...
Dialetheism (/ d aɪ ə ˈ l ɛ θ i ɪ z əm /; from Greek δι-di-'twice' and ἀλήθεια alḗtheia 'truth') is the view that there are statements that are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called "true contradictions", dialetheia, or ...
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