Friday, May 16, 2014

Theology, Cardinality, Ordinality

The historical Socrates fatally directed his skepticism at the prevailing Theology of the era, which Plato replaces with a Pythagorean Cosmology, i. e. his World of Forms is based on the Mathematical model of the latter.  In contrast, Descartes attempts to use his Skepticism to reinforce the Theological dogma of the time, a project which includes a subordination of the Pythagorean Cosmology, expressed as Mathematical propositions, to the power of his God.  However, he is apparently unaware of the distinction between Cardinal and Ordinal Numbers, so, in the process relegating the former, he takes the later for granted, i. e. his Method, as has been previously discussed, presupposes the distinctions between First, Second, etc., as much as does the God of the outset of Genesis.  So, it may not be extrinsic to his Philosophical writings, wittingly or otherwise, that his greatest impact on subsequent society has been the 'Cartesian Plane', i. e. the forerunner of every graph, which is based on the enumerability, i. e. the Ordinality, of location.

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