[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 10

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| Classification of Simple Relatives (concl.)
|
| i.  Transitives are further divisible into those whose products by themselves
|     are equal to themselves, and those whose products by themselves are less
|     than themselves;  the former may be termed 'continuous'*, the latter
|     'discontinuous'.  An example of the second is found in the pure
|     mathematics of a continuum, where if 'a' is greater than 'b'
|     it is greater than something greater than 'b';  and as long
|     as 'a' and 'b' are not of the same magnitude, an intervening
|     magnitude always exists.  All concurrents are continuous.
|
| j.  Intransitives may be divided into those the number of
|     the powers (repeated products) of which not contained
|     in the first is infinite, and those some power of
|     which is contained in the first.  The former may
|     be called 'infinites', the latter 'finites'.
|     Infinite inexhaustibles are cyclic.
|
| In addition to these, the old divisions of relations
| into relations of reason and real relations, of the
| latter into aptitudinal and actual, and of the last
| into extrinsic and intrinsic, are often useful.$
|
|* [Marginal Note] "Should be called concatenated"
|
|$ [Peirce gives an extended gloss from Tartaretus]
|
| C.S. Peirce, CP 3.136
|
| C.S. Peirce,
|"Description of a Notation for the Logic of Relatives,
| Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic",
|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,
|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429).

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