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A subfield of logic that emphasizes the concept of resources, where logical operations consume their arguments, differing from classical logic's treatment of assumptions as reusable. linear order A total order on a set where every pair of elements is comparable, meaning for any two elements, one is either greater than, less than, or equal to ...
Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical arguments, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.
The word "logic" originates from the Greek word logos, which has a variety of translations, such as reason, discourse, or language. [4] Logic is traditionally defined as the study of the laws of thought or correct reasoning, [5] and is usually understood in terms of inferences or arguments. Reasoning is the activity of drawing inferences.
Forms of logical reasoning can be distinguished based on how the premises support the conclusion. Deductive arguments offer the strongest possible support. Non-deductive arguments are weaker but are nonetheless correct forms of reasoning. [28] [29] The term "proof" is often used for deductive arguments or very strong non-deductive arguments. [30]
Also called humanocentrism. The practice, conscious or otherwise, of regarding the existence and concerns of human beings as the central fact of the universe. This is similar, but not identical, to the practice of relating all that happens in the universe to the human experience. To clarify, the first position concludes that the fact of human existence is the point of universal existence; the ...
Thus, an argumentum a contrario ("argument from the contrary") is an argument or proof by contrast or direct opposite. a Deucalione: from or since Deucalion: A long time ago; from Gaius Lucilius, Satires VI, 284 a falsis principiis proficisci: to set forth from false principles: Legal phrase. From Cicero, De Finibus IV.53. a fortiori: from the ...
Denying the antecedent is a logical fallacy based on drawing an untrue conclusion from an if–then argument. If X is true, then Y must also be true. More: RI Senate approves 'safe-storage' gun bill.
Defeasibility is found in literatures that are concerned with argument and the process of argument, or heuristic reasoning. Defeasible reasoning is a particular kind of non-demonstrative reasoning , where the reasoning does not produce a full, complete, or final demonstration of a claim, i.e., where fallibility and corrigibility of a conclusion ...