Continuing from Lowell Lecture 2.8, https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low ell-lecture-ii/display/13613
. As for the general alpha-permissions, they are nothing but the definitions of the four general Alpha signs in terms of permissibility. Let us draw up statements of them. You know that every definition consists of two propositions. Thus if man is defined as a featherless biped, the one proposition Every man is a featherless biped predicates the definition 'featherless biped' of the definitum, 'man'; while the other proposition 'Every featherless biped is a man' predicates the definitum of the definition. Consequently, each sign of the system should furnish us with two permissions of transformation. Beginning then with the sign which consists in scribing together, or as we may term it, compounding, the definition of it in terms of permission will be 1st, predicating the definition of the definitum, if it is permitted to scribe on the sheet of assertion a replica of a compound graph, then it is permitted to scribe on the sheet of assertion a replica of either component. Or, stating this in terms of transformations: Any replica of a compound graph may on the sheet of assertion be transformed into a replica of either component. That is to say, under a more practical aspect, any partial graph on the sheet of assertion may be erased or cancelled. This shall head our list of alpha permissions[:] Permission No 1. Any graph on the sheet of assertion can be erased. http://gnusystems.ca/Lowell2.htm }{ Peirce's Lowell Lectures of 1903 https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low ell-lecture-ii
----------------------------- PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to [email protected] . To UNSUBSCRIBE, send a message not to PEIRCE-L but to [email protected] with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
