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In philosophy, a supertask is a countably infinite sequence of operations that occur sequentially within a finite interval of time. [1] Supertasks are called hypertasks when the number of operations becomes uncountably infinite .
The thought experiment concerns a lamp that is toggled on and off with increasing frequency. Thomson's lamp is a philosophical puzzle based on infinites. It was devised in 1954 by British philosopher James F. Thomson, who used it to analyze the possibility of a supertask, which is the completion of an infinite number of tasks.
In a seminal 1954 article [3] which followed on from the work of Max Black, [4] Thomson considered the successful completion of an infinite number of tasks within a given time, to which he gave the name supertasks. To disprove the possibility of supertasks, he introduced Thomson's lamp, a thought experiment similar to Zeno's paradoxes.
Strasberg, for example, dismissed the "Method of Physical Action" as a step backwards. [101] Just as an emphasis on action had characterised Stanislavski's First Studio training, so emotion memory continued to be an element of his system at the end of his life, when he recommended to his directing students: One must give actors various paths.
A graph that shows the number of balls in and out of the vase for the first ten iterations of the problem. The Ross–Littlewood paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed to illustrate the paradoxical, or at least non-intuitive, nature of infinity.
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Actual infinity is now commonly accepted in mathematics under the name "infinite set". Indeed, set theory has been formalized as the Zermelo–Fraenkel set theory (ZF). One of the axioms of ZF is the axiom of infinity, that essentially says that the natural numbers form a set. All mathematics has been rewritten in terms of ZF.