Peirce's 1885 “Algebra of Logic” • Selection 2.2
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https://inquiryintoinquiry.com/2024/03/26/peirces-1885-algebra-of-logic-sel…
❝On the Algebra of Logic❞
❝A Contribution to the Philosophy of Notation❞
❝§1. Three Kinds Of Signs❞ (cont.)
❝But tokens alone do not state what is the subject of discourse; and
this can, in fact, not be described in general terms; it can only be
indicated. The actual world cannot be distinguished from a world of
imagination by any description. Hence the need of pronouns and indices,
and the more complicated the subject the greater the need of them.
❝The introduction of indices into the algebra of logic is the greatest merit
of Mr. Mitchell's system. He writes F_1 to mean that the proposition F is
true of every object in the universe, and F_u to mean that the same is true
of some object. This distinction can only be made in some such way as this.
Indices are also required to show in what manner other signs are connected
together.❞ (3.363).
Regards.
Jon
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