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hapter III. The Simplest Mathematics 

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Manuscript Metadata

Resource ID




Contributed by

Frederik Wellmann

type of material

A. MS.


Page 37 is dated January 5, 1902 another page, January 28, 1902. Two definitions of "mathematics" analyzed: (a) mathematics as the method of drawing necessary conclusions, and (b) mathematics as the study of the hypothetical states of things. Mathematics does not require ethics logic does, however. Preliminary dissection of mathematics into several branches. The important rules, theorems, and demonstrations of dichotomic mathematics. Simplest mathematics is a two-valued system, but even though its subject is limited, it does enter as an element into the other parts of mathematics, and hence is important. In regard to trichotomic mathematics, it is asked, "how is the mathematician to take a step without recognizing the duality of truth and falsity?" Fundamental fact about the number three is its generative potency. Philosophical truth has its origin and rationale in mathematics. A chemical analogy. In one of the alternative sections, there is a lengthy account of CSP's dispute with Sylvester over who should receive credit for discovering the system of nonions.

general index

Logic (modal see Modality), Mathematics, dichotomic (see also Mathematics simplest), Mathematics and philosophy, simplest Mathematics, trichotomic Mathematics, Nonions (see also Sylvester), Minute Logic, Sylvester James j., Thirdness


pp. 2-200 (p. 199 missing), including long alternative or rejected efforts





abbreviated title

(Logic III)

date (Robin)


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 Public : MS_0431
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