Saturday, August 25, 2012

Quantum of Change

quantum of change:

Zeno's paradoxes make use of mathematical theory of continuous numbers and the infinitesimal to put the case that motion is but an illusion. as discussed before, the key to understanding here is that continuous numbers are purely theoretical, they are not real!

now motion may be an illusion, if motion is thought to be the actual movement of an object or body maintaining its integrity or identity as it moves in the "external world", if the "external world" itself does not actually exist and we are all "brains in a vat". then such movement is merely the function of our eyesight, that is, the image of an object or body is copied to adjacent pixels and we see what only seems to be motion. however that was not zeno's point, i believe.

there are two questions here, one is about infinitesimal space, and the other is about infinitesimal time. the paradoxes arise when we consider the concept of the infinitesimal to hold. posit that there is indeed a minimum distance that has real significance in reality and that nothing smaller should be considered, that is, the size of the littlest least bit of matter, uniform throughout, that experiences individual change. there should then be no smaller "real" distance. can we use the general conclusion that the infinitesimal is not real enough when we think about change? for when we talk about time we are really talking about change. but what do we mean by change? yes, it is a difference in the same thing! therefore there are two things to be considered here, what it was, that is, the state it was in, and the difference. a difference means a sudden change! change is sudden! if we consider the infinitesimal to hold then logically a discrete change is in itself impossible and one second would never become the next second!

what could be true is the concept of quantum of change, that is, there are discrete "steps" of change. you can think of life like a movie's film negative, with 24 frames a second. but how is it that if, like continuous numbers, continuous change with an infinite number of "instants" is not real, it is so easy to think of? like somehow, something is always changing, so it is continuously changing, something like that. however, continuous change is not that easily definable or explainable, in a strict sense, as is discrete change, and there is the example of a movie's film negative. posit that the truth is always more explainable, with more real life examples, than something that is not true, a falsity. such we hope!


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