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In mathematics education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands. The Soviets did research on the theory in the 1960s and integrated their ...
In philosophy, the consequence argument is an argument against compatibilism popularised by American philosopher Peter van Inwagen.The argument claims that if agents have no control over the facts of the past, then the agent has no control of the consequences of those facts.
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Chaos Theory is a concept taken from the physical sciences. It challenges models that postulate linear and sequential processes, and instead suggests that development is inherently unpredictable. Chaos theory argues that it's unrealistic for a system to go through deterministic, predictable, and repeated stages.
The axiom of constructibility implies the axiom of choice (AC), given Zermelo–Fraenkel set theory without the axiom of choice (ZF). It also settles many natural mathematical questions that are independent of Zermelo–Fraenkel set theory with the axiom of choice (ZFC); for example, the axiom of constructibility implies the generalized continuum hypothesis, the negation of Suslin's hypothesis ...
Kline was born to a Jewish family in Brooklyn and resided in Jamaica, Queens.After graduating from Boys High School in Brooklyn, he studied mathematics at New York University, earning a bachelor's degree in 1930, a master's degree in 1932, and a doctorate (Ph.D.) in 1936.
The quantum-mechanical "Schrödinger's cat" paradox according to the many-worlds interpretation.In this interpretation, every quantum event is a branch point; the cat is both alive and dead, even before the box is opened, but the "alive" and "dead" cats are in different branches of the multiverse, both of which are equally real, but which do not interact with each other.
Validity is defined in classical logic as follows: . An argument (consisting of premises and a conclusion) is valid if and only if there is no possible situation in which all the premises are true and the conclusion is false.