List, John: > On Oct 20, 2017, at 4:44 PM, John F Sowa <s...@bestweb.net> wrote: > > On 10/20/2017 3:26 PM, Jerry LR Chandler wrote: >> My feeling is that CSP’s remarks are now out of date in the sense that many >> forms of mathematical reasoning are used in different structural forms - >> sets, groups, rings, vector spaces etc. with different modes of reasoning, >> even about addition and multiplication. > > No.
I disagree. CSP’s logic did not incorporate these structural forms of these mathematical theories, although rudimentary forms of these theories had been proposed in his time, but certainly not in the logical forms of mathematical structures used in the 21 st Century. Compare CSP’s theories of graphs to role of today's graph theory which functions to bind several mathematical structures together. CSP developed his theories of graphs by analogy / metaphor with chemical graphs, rather than geometry which underlies today’s mathematical structuralism that spans from points to categories (Lavere) Cheers Jerry
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