Monday, December 7, 2009
The Logic of Greater and Lesser
Whether or not it is the essence of Philosophy, Logic is at least extremely important to it. For, the Wisdom, of whatever sort, that Philosophy seeks, is presumed to apply most generally, and, hence, is expressible as a Principle, i. e. in 'Universal' terms, e. g. "All Reality is such-and-such", "All Humans must do such-and-such", etc. And, the evaluating of Principles centers on their applicability to Particular cases, e. g. "All men are Romans" fails as a Principle, since Socrates is Greek. So, since the heart of Logic has generally been the Universal-Particular relation, or vice versa, Philosophy seems unthinkable without it. Therefore, the adequacy of Logic has depended on the presumption that its scope is finitistic, namely, is between closed totalities and irreducible atoms, a presumption to which Science no longer subscribes. Furthermore, the Universal-Particular relation is not even itself most fundamental. Rather, it is a special case of the Greater-Lesser relation, which is the essence of all relations of inclusion, that is, the essence of all Logical relations. Evolvemental Logic--the characterization of the movement between lesser and greater Complexity--is based on this perhaps more modest, but more essential scope, and, so, presumes to be more adequate to 'Reality' than traditional Logics. Likewise, by its own Logic, it does not presume itself to be the final word on the topic.
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