Jeff, List: > On Apr 26, 2017, at 10:48 AM, Jeffrey Brian Downard <[email protected]> > wrote: > > I wonder why this relation of determination of one being determined after > another seemed to him to be so important.
The answer to your question is very very simple, but rather technical for this list. Historically, your question has the logical form of sorites. Bacon recognized this facet of natural logic (see below). The Schoolmen approached logical form of your question in terms of significatio, suppositio, etc., with the inquiry: what is the meaning of a sign (significatio) as a logical term? Leibniz presupposed this question in his notion of logic as calculations with integers. CSP logic is an extension of the Schoolmen’s logic. (As an aside, CSP logic can also be linguistically generalized to include the logic of Boole and de Morgan.) CSP recognized that your question is more than merely “important”, it is absolutely essential to the perplex logic of the chemical sciences - chemistry, biology and medicine. In modern chemistry, your question is answered in the logic of concatenation of atoms into molecules. That is, in CSP talk, the diagrams that are formed from the representations (signs) of things. The mathematical / scientific basis for your question is also elementary, but rather perplex. In general, the physics of atomic numbers do not follow the associative, distributive or commutative of mathematics. Thus, CSP recognized that an alternative form of the logic of addition is essential to the logical abductions over a set of chemical elements where the order of the copulation of predicates is critical to the correspondence relations among the multiplicity of signs. In simpler terms, the copulation of two unique chemical elements generates a unique chemical bond that is specified by the atomic numbers of the two elements. Well, perhaps the answer to your question is not so simple, unless one grasps CSP usage of the logical terms, symbol, index, and icon in the context of the chemical table of elements and the perplex number system. Jeff, given the breadth and depth of your assets, (your multiple intellectual backgrounds,) I believe that you will find further exploration of your question to be extraordinarily profitable. BTW, your question is intimately associated with the inquiry into the meaning of a relational triad! Have fun in your exploratory syntheses!!! Cheers Jerry
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