Peirce's 1885 “Algebra of Logic” • Selection 2.1
•
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.)
❝I have taken pains to make my distinction of icons, indices, and tokens
clear, in order to enunciate this proposition: in a perfect system of
logical notation signs of these several kinds must all be employed.
❝Without tokens there would be no generality in the statements, for they
are the only general signs; and generality is essential to reasoning.
❝Take, for example, the circles by which Euler represents the relations of terms.
They well fulfill the function of icons, but their want of generality and their
incompetence to express propositions must have been felt by everybody who has
used them. Mr. Venn has, therefore, been led to add shading to them; and
this shading is a conventional sign of the nature of a token. In algebra,
the letters, both quantitative and functional, are of this nature.❞ (3.363).
Regards.
Jon
cc:
https://www.academia.edu/community/5Nx3QJ
cc:
https://mathstodon.xyz/@Inquiry/112156450035935700