Tuesday, January 28, 2014

The Quantum of Continuity

The problem of continuum versus discreteness seems to be related to the issue of sempiternal existence and finiteness. The number of points in a line served as the pellucid floodgate which led to the development of Set guess by Cantor at the end of the 19th century. It took some some another(prenominal)wise century to demonstrate the problematic nature of some of Cantors sentiment (Cohen completed Godels work in 1963). except continuity apprise be finite and the connection is, nearly times, misleading instead than illuminating. Intuition tells us that the world is endless and contiguous. This seems to be a landed e present of things which is devoid of characteristics other than its very existence. And yet, whenever we direct the microscope of scientific train at the world, we go on quantize, segregated, distinct and discrete pictures. This atomization seems to be the natural state of things - why did evolution resort to the delusive perception of continuum? And ho w after part a machine which is bound to be discrete by virtue of its naturalness - the brain - apprehend a continuum? The continuum is an external, amiable category which is imposed by us on our observations and on the resulting data. It serves as an idealized approximation of reality, a model which is asymptotic to the Universe as it is. It gives rise to the concepts of quality, emergence, function, derivation, work out (force), interaction, fields, (quantum) measurement, processes and a host of other holistic ways of relating to our environment. The other pole, the quantized model of the world conveniently gives rise to the complementary people of colour set of concepts : quantity, causality, observation, (classic) measurement, language, events, quants, units and so on. The private, macroscopic, low velocity instances of our physical descriptions of the supposition (theories) tend to be continuous. Newtonian time is equated to a river. If you require to get a full essay, o! rder it on our website: BestEssayCheap.com

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