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Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
Translated into Latin from Baudelaire's L'art pour l'art. Motto of Metro-Goldwyn-Mayer. While symmetrical for the logo of MGM, the better word order in Latin is "Ars artis gratia". ars longa, vita brevis: art is long, life is short: Seneca, De Brevitate Vitae, 1.1, translating a phrase of Hippocrates that is often used out of context. The "art ...
Questions is a game in which players maintain a dialogue of asking questions back and forth for as long as possible without making any declarative statements. Play begins when the first player serves by asking a question (often "Would you like to play questions?"). The second player must respond to the question with another question (e.g.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
When really, it's all fair game, and every situation is an opportunity for us to act." [8] "The struggle against an obstacle inevitably propels the fighter to a new level of functioning. The extent of the struggle determines the extent of the growth. The obstacle is an advantage, not an adversity.
(From Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus) [8] is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. Cavalieri's principle
The practice fell out of fashion and into obscurity with the decline in Latin literacy. si vis amari ama: If you want to be loved, love: This is often attributed to the Roman philosopher Seneca, found in the sixth of his letters to Lucilius. si vis pacem, para bellum: if you want peace, prepare for war: From Publius Flavius Vegetius Renatus, De ...
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 argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.