History and Philosophy of Logic 18 (2):61-78 (1997)
|Abstract||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)|
|Through your library||Configure|
Similar books and articles
Maarten De Rijke (1995). The Logic of Peirce Algebras. Journal of Logic, Language and Information 4 (3):227-250.
Gérard Deledalle (1990). Charles S. Peirce, 1839-1914: An Intellectual Biography. J.Benjamins Pub. Co..
G. M. Innocenti (1997). “Differentiationism” Can Reconcile Selectionism and Constructivism. Behavioral and Brain Sciences 20 (4):568-569.
Chris Brink (1978). On Peirce's Notation for the Logic of Relatives. Transactions of the Charles S. Peirce Society 14 (4):285 - 304.
Simon B. Duffy (2009). The Role of Mathematics in Deleuze's Critical Engagement with Hegel. International Journal of Philosophical Studies 17 (4):563 – 582.
Yaroslav Sergeyev (2009). Numerical Point of View on Calculus for Functions Assuming Finite, Infinite, and Infinitesimal Values Over Finite, Infinite, and Infinitesimal Domains. Nonlinear Analysis Series A 71 (12):e1688-e1707.
Pilar Castrillo (2002). La Implicacion y la Filosofia de la Logica en Peirce. Theoria 17 (3):517-539.
Shannon Dea (2006). &Quot;merely a Veil Over the Living Thought&Quot;: Mathematics and Logic in Peirce's Forgotten Spinoza Review. Transactions of the Charles S. Peirce Society 42 (4):501-517.
R. M. Martin (1978). Of Servants, Lovers, and Benefactors: Peirce's Algebra of Relatives of 1870. [REVIEW] Journal of Philosophical Logic 7 (1):27 - 48.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Added to index2010-08-10
Total downloads4 ( #188,845 of 722,832 )
Recent downloads (6 months)1 ( #60,541 of 722,832 )
How can I increase my downloads?