The Commens Dictionary

Quote from ‘That Categorical and Hypothetical Propositions are one in essence, with some connected matters’

Quote: 

Every subject, when it is directly indicated, as humanity and mortality are, is singular. Otherwise, a precept, which may be called its quantifier, prescribes how it is to be chosen out of a collection, called its universe. In probable logic, the quantifiers – such as “nine out of ten,” and the like – refer to an experiential course or “long run.” But in necessary logic there is no reference to such a course of experience, and only two quantifiers are required; the universal quantifier, which allows any object, no matter what, to be chosen from the universe, and the particular quantifier, which prescribes that a suitable object must be chosen. When there are several quantified subjects, and when quantifications are different, the order in which they are chosen is material. It is the character of the quantifier of the last chosen subject which extends itself to the whole proposition.

Date: 
1895-6 [c.]
References: 
CP 2.339
Citation: 
‘Precept’ (pub. 12.01.15-11:38). Quote in M. Bergman & S. Paavola (Eds.), The Commens Dictionary: Peirce's Terms in His Own Words. New Edition. Retrieved from http://www.commens.org/dictionary/entry/quote-categorical-and-hypothetical-propositions-are-one-essence-some-connected-2.
Posted: 
Jan 12, 2015, 11:38 by Mats Bergman
Last revised: 
Sep 01, 2015, 11:36 by Mats Bergman