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79 Views • Aug 27, 2014 • Click to toggle off description
Nesting is one of the two interpretations of such basic concepts as numbers, duration, distance, area and volume, and their variants such as time, extent, space, height, depth, width, mass, weight, energy, continuity, infinity, or infinitesimals, etc. Alternative interpretation, which involves concatenation, was discussed in Video 1 about duality of mathematical concepts and Video 2 about dimensions.

There is a group of concepts which can only be interpreted in terms of nesting. They involve such concepts as value, intensity, tension, temperature, and their variants. The closest to this idea is the notion of nested sets for multi-element nesting and ordered sets for single-element nesting. However, neither of them conveys the cognitive sense of the nesting concept. In this video I only discuss the regular forms of nesting, one case of which leads to the notion of numbers and another to logarithms understood as scales. The latter topic will be discussed in a separate video.
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Genre: Science & Technology
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Uploaded At Aug 27, 2014 ^^


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