[Inquiry] Re: Logic Of Relatives

[Jon Awbrey]

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LOR.  Note 2

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| Numbers Corresponding to Letters
|
| I propose to use the term "universe" to denote that class of individuals
| 'about' which alone the whole discourse is understood to run.  The universe,
| therefore, in this sense, as in Mr. De Morgan's, is different on different
| occasions.  In this sense, moreover, discourse may run upon something which
| is not a subjective part of the universe;  for instance, upon the qualities
| or collections of the individuals it contains.
|
| I propose to assign to all logical terms, numbers;  to an absolute term,
| the number of individuals it denotes;  to a relative term, the average
| number of things so related to one individual.  Thus in a universe of
| perfect men ('men'), the number of "tooth of" would be 32.  The number
| of a relative with two correlates would be the average number of things
| so related to a pair of individuals;  and so on for relatives of higher
| numbers of correlates.  I propose to denote the number of a logical term
| by enclosing the term in square brackets, thus ['t'].
|
| C.S. Peirce, CP 3.65
|
| Charles Sanders 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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