Differentiation and infinitesimal relatives in Peirce's 1870 paper on logic: a new interpretation

History and Philosophy of Logic 18 (2):61-78 (1997)
The process of ?logical differentiation? was introduced by Peirce in 1870. Directly analogous to mathematical differentiation, it uses logical terms instead of mathematical variables. Here, this mysterious process receives new interpretations which serve to clarify Peirce?s use of logical terms. I introduce the logical terms, the operation of multiplication, the logical analogy to the binomial theorem, infinitesimal relatives, the concepts of numerical coefficients and the number associated with each term. I also analyse the algebraic development of ?logical differentiation? and consider in depth one application of the process
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445349708837276
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,305
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Joseph Brent (1993). Charles Sanders Peirce: A Life. History and Philosophy of Logic 14 (2):531-538.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

7 ( #504,597 of 1,932,594 )

Recent downloads (6 months)

1 ( #456,397 of 1,932,594 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.