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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.
However, Paul Benacerraf in a 1962 paper [5] successfully criticised Thomson's argument, by pointing out that the states of the lamp during the experiment do not logically determine the final state of the lamp when t=1. Thomson's conditions for the experiment are insufficiently complete, since only instants of time before t≡1 are considered.
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.
A SAP's ability to absorb water depends on the ionic concentration of the aqueous solution. In deionized and distilled water, a SAP may absorb 300 times its weight [4] (from 30 to 60 times its own volume) and can become up to 99.9% liquid, and when put into a 0.9% saline solution the absorbency drops to approximately 50 times its weight.
1. Makeshift Speakers. If you went to college in the days of early iPods, you know that making a tiny slit in a paper towel roll and inserting your phone can amplify the sound exponentially.
The growth in commercial use of paper towels can be attributed to the migration from folded towels (in public bathrooms, for example) to roll towel dispensers, which reduces the amount of paper towels used by each patron. [12] Within the forest products industry, paper towels are a major part of the "tissue market", second only to toilet paper ...
While most paper towels were being marketed promoting their strength or softness, P&G found consumers primarily preferred absorbency. With this new idea for marketing, Bounty replaced Charmin towels in 1965, and introduced a new 2-ply towel which was thicker, softer, and more absorbent than anything else on the market.