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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 ...
Syzygy (mathematics), linear relation between generators of a module; Syzygy, in biology, the pairing of chromosomes during meiosis;
Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance).
A libretto is distinct from a synopsis or scenario of the plot, in that the libretto contains all the words and stage directions, while a synopsis summarizes the plot. Some ballet historians also use the word libretto to refer to the 15- to 40-page books which were on sale to 19th century ballet audiences in Paris and contained a very detailed ...
He sees a fundamental distinction between logic (and its extension, according to Frege, math) and psychology. Logic explains necessary facts, whereas psychology studies certain thought processes in individual minds. [2] Ideas are private, so idealism about mathematics implies there is "my two" and "your two" rather than simply the number two.
Numerical cognition is a subdiscipline of cognitive science that studies the cognitive, developmental and neural bases of numbers and mathematics.As with many cognitive science endeavors, this is a highly interdisciplinary topic, and includes researchers in cognitive psychology, developmental psychology, neuroscience and cognitive linguistics.
The shift in meaning for mathema is likely a result of the rapid categorization during the time of Plato and Aristotle of their mathemata in terms of education: arithmetic, geometry, astronomy, and music (the quadrivium), which the Greeks found to create a "natural grouping" of mathematical (in the modern usage; "doctrina mathematica" in the ancient usage) precepts.
Instead, it comes from repeated exposure to mathematical concepts. It is a gauge of mathematics students' erudition in mathematical structures and methods, and can overlap with other related concepts such as mathematical intuition and mathematical competence. The topic is occasionally also addressed in literature in its own right. [1] [2]