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Hence, the statement "p is an unknown truth" cannot be both known and true at the same time. Therefore, if all truths are knowable, the set of "all truths" must not include any of the form "something is an unknown truth"; thus there must be no unknown truths, and thus all truths must be known. This can be formalised with modal logic.
Infallibilism should not be confused with the universally accepted view that a proposition P must be true in order for someone to know that P. Instead, the infallibilist holds that a person who knows P could not have all of the same evidence (or justification) that one currently has if P were false, and therefore that one's evidence ...
Their knowledge and familiarity within a given field or area of knowledge command respect and allow their statements to be criteria of truth. A person may not simply declare themselves an authority, but rather must be properly qualified. Despite the wide respect given to expert testimony, it is not an infallible criterion. For example, multiple ...
Truth or verity is the property of being in accord with fact or reality. [1] In everyday language, it is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences.
In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "the house is white" and "the house is not white" are mutually exclusive.
Mathematical fallibilism appears to uphold that even though a mathematical conjecture cannot be proven true, we may consider some to be good approximations or estimations of the truth. This so called verisimilitude may provide us with consistency amidst an inherent incompleteness in mathematics. [ 26 ]
In epistemology, the Münchhausen trilemma is a thought experiment intended to demonstrate the theoretical impossibility of proving any truth, even in the fields of logic and mathematics, without appealing to accepted assumptions. If it is asked how any given proposition is known to be true, proof in support of that proposition may be provided ...
Given that reason alone can not be sufficient to establish the grounds of induction, Hume implies that induction must be accomplished through imagination. One does not make an inductive reference through a priori reasoning, but through an imaginative step automatically taken by the mind.