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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.
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.
The teachers had some previous experience studying the system as private students of Stanislavski's sister, Zinaïda. [79] His wife, Lilina, also joined the teaching staff. [ 80 ] Twenty students (out of 3500 who had auditioned) were accepted for the dramatic section of the Opera—Dramatic Studio, where classes began on 15 November 1935. [ 81 ]
Understanding and developing science teachers' pedagogical content knowledge (2nd ed.). Rotterdam: Sense Publishers. ISBN 978-94-6091-788-2. Ma, Liping (2010). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States (Anniversary ed.). New York: Routledge.
Thomson's conditions for the experiment are insufficiently complete, since only instants of time before t≡1 are considered. Benacerraf's essay led to a renewed interest in infinity-related problems, set theory and the foundation of supertask theory.