Tautology wikipedia
WebIn logic, a ' tautology (from the Greek word ταυτολογία) is a formula which is true in every possible interpretation. Philosopher Ludwig Wittgenstein first applied the term to redundancies of propositional logic in 1921; it had been used earlier to refer to rhetorical tautologies, and continues to be used in that alternate sense. In mathematical logic, a tautology (from Greek: ταυτολογία) is a formula or assertion that is true in every possible interpretation. An example is "x=y or x≠y". Similarly, "either the ball is green, or the ball is not green" is always true, regardless of the colour of the ball. The philosopher Ludwig … See more The word tautology was used by the ancient Greeks to describe a statement that was asserted to be true merely by virtue of saying the same thing twice, a pejorative meaning that is still used for rhetorical tautologies. … See more The problem of determining whether a formula is a tautology is fundamental in propositional logic. If there are n variables occurring in a formula then there are 2 distinct valuations … See more An axiomatic system is complete if every tautology is a theorem (derivable from axioms). An axiomatic system is sound if every theorem is a … See more Propositional logic begins with propositional variables, atomic units that represent concrete propositions. A formula consists of … See more A formula of propositional logic is a tautology if the formula itself is always true, regardless of which valuation is used for the propositional variables. There are infinitely many tautologies. Examples include: • See more There is a general procedure, the substitution rule, that allows additional tautologies to be constructed from a given tautology (Kleene … See more The problem of constructing practical algorithms to determine whether sentences with large numbers of propositional variables are tautologies is an area of … See more
Tautology wikipedia
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WebIt can refer either to (a) a kind of error in an argume nt, (b) a kind of error in reasoning (including arguments, definitions, explanations, etc.), (c) a false belief, or (d) the cause of any of the previous errors including what are norma lly referred to as "rhetorical techniques". WebPleonasm (/ ˈ p l iː. ə ˌ n æ z əm /; from Ancient Greek πλεονασμός (pleonasmós), from πλέον (pléon) 'to be in excess') is redundancy in linguistic expression, such as "black darkness" or "burning fire". It is a manifestation of tautology by traditional rhetorical criteria and might be considered a fault of style. Pleonasm may also be used for emphasis, or …
WebTools. In constructive mathematics, Church's thesis is an axiom stating that all total functions are computable functions . The similarly named Church–Turing thesis states that every effectively calculable function is a computable function, thus collapsing the former notion into the latter. is stronger in the sense that with it every function ... Tautology may refer to: • Tautology (language), redundant statements in literature and rhetoric • Tautology (logic), in formal logic, a statement that is true in every possible interpretation • Tautology (rule of inference), a rule of replacement for logical expressions
WebIn mathematical logic, a tautology (from Greek: ταυτολογία) is a formula or assertion that is true in every possible interpretation. An example is "x=y or x≠y". Similarly, "either the ball is green, or the ball is not green" is always true, regardless of the colour of the ball. The philosopher Ludwig Wittgenstein first applied the ... WebIn mathematical logic, a tautology (from Greek: ταυτολογία) isa formula or assertion that is true in every possible interpretation. An example is "x=y or x≠y". Similarly, "either the ball is green, or the ball is not green" is always true, regardless of the colour of the ball. The philosopher Ludwig Wittgenstein first applied the ...
WebTautology is a literary device that is used in some instances by writers, poets, lyricists, speech writers, debaters, and public speakers. Depending on the intended effect for the …
Web1 a : needless repetition of an idea, statement, or word Rhetorical repetition, tautology ('always and for ever'), banal metaphor, and short paragraphs are part of the jargon. … timothy circleWebApr 19, 2024 · A tautology is a statement which can be proven to be true without relying on any axioms. An axiom is not a tautology because, to prove that axiom, you must assume at least one axiom: itself. If you wanted to be more pedantic (which is always fun), the idea that you can prove a tautology without any axioms is a bit fun to tug on. timothy cipulloWebTimeline of tautologies Tautology Wiki Fandom in: TauTology, Intelligent design, Fitness, Spontaneous generation Timeline of tautologies Edit Contents 1 The Prehistoric … parmly nursing home chisago city mnWebThe English Wiktionary has a dictionary definition (meanings of a word) for: tautology. Tautology could mean: Tautology (logic), a statement of propositional logic which holds … parmly chisago city mnWebtautology: 1 n useless repetition “to say that something is `adequate enough' is a tautology ” Type of: repetitiousness , repetitiveness verboseness resulting from excessive … parmly lakeview apartments chisago cityWeb套套邏輯 為英語 tautology 的音譯，可以指： 文法上的 同義反覆 （重言句、套套句） 邏輯上的 恆真式 （恆真句） 这是一个 消歧义 页，羅列了有相同或相近的标题，但內容不同的条目。 如果您是通过某條目的 内部链接 而转到本页，希望您能協助修正该處的内部链接，將它指向正确的条目。 ： parmly nursing homeWebJan 17, 2024 · Noun [ edit] tautology ( countable and uncountable, plural tautologies ) ( uncountable) Redundant use of words, a pleonasm, an unnecessary and tedious … parmly lifepointes chisago city mn