Keyword: Mathematics

Dictionary Entry | Posted 24/03/2018
Quote from "On the Logic of Quantity"

The first prime division [of science] consists of Mathematics, which merely frames hypotheses and traces out their consequences, and alone of all the sciences does not...

Dictionary Entry | Posted 14/03/2018
Quote from "A Brief Intellectual Autobiography by Charles Sanders Peirce"

Mathematics merely traces out the consequences of hypotheses without caring whether they correspond to anything real or not. It is purely deductive, and all necessary inference is mathematics,...

Article in Edited Collection | Posted 16/02/2018
Eisele, Carolyn (1981). Mathematics as a Key to Peirce's Semiotics. In: Zeichenkonstitution, Band I
Article in Journal | Posted 16/02/2018
Eisele, Carolyn (1983). An Introduction to Peirce's Mathematical Semiotic
Article in Journal | Posted 08/10/2017
Hull, Kathleen (1994). Why Hanker After Logic? Mathematical Imagination, Creativity and Perception in Peirce's Systematic Philosophy
Focuses on the 'logic of creativity' in Charles Sanders Peirce's philosophy through the wide-angle lens of his emerging architectonic. Peirce's distinction between mathematics and...
Article in Journal | Posted 13/03/2017
Johanson, Arnold (2001). Modern Topology and Peirce's Theory of the Continuum
Explores philosopher Charles Sanders Peirce's concept of a continuum. Review of the basic ideas of general topology; Definition of the Aristotelian continuum; Ideals of mathematics.
Article in Journal | Posted 14/02/2017
Steensen, Anna K., Johansen, Mikkel W. (2016). The role of diagram materiality in mathematics
Based on semiotic analyses of examples from the history of mathematics, we claim that the influence of the material aspects of diagram tokens is anything but trivial. We offer an interpretation of...
Dictionary Entry | Posted 07/08/2016
Quote from "Reason's Conscience: A Practical Treatise on the Theory of Discovery; Wherein logic is conceived as Semeiotic"

Mathematics is the study of what is or is not logically possible, without undertaking to ascertain what actually exists.

Article in Journal | Posted 13/02/2016
Pollard, Stephen (2005). Some Mathematical Facts about Peirce's Game
Discusses an exposition of some key mathematical properties of the game of chance that philosopher Charles S. Peirce uses to model certain features of biological evolution. Philosophical significance...
Article in Journal | Posted 13/02/2016
De Waal, Cornelis (2005). Why Metaphysics Needs Logic and Mathematics Doesn't: Mathematics, Logic, and Metaphysics in Peirce's Classification of the Sciences
Discusses the difference between mathematics and metaphysics regarding their relation to logic. Examination of Auguste Comte's classification of sciences; Comparison of Comte's...
Article in Journal | Posted 12/02/2016
Dea, Shannon (2006). "Merely a veil over the living thought": Mathematics and Logic in Peirce's Forgotten Spinoza Review
The article talks about American philosopher Charles S. Peirce's review of "Ethics," by Dutch philosopher Baruch Spinoza. It focuses on the remarks of Peirce about mathematical...
Article in Journal | Posted 18/01/2016
Haack, Susan (1979). Fallibilism and Necessity
Article in Journal | Posted 18/01/2016
Cooke, Elizabeth F. (2003). Peirce, Fallibilism, and the Science of Mathematics
Article in Journal | Posted 29/12/2015
Campos, Daniel G. (2007). Peirce on the Role of Poietic Creation in Mathematical Reasoning
The article examines philosopher Charles Sanders Peirce's views on the role of poetic creation in mathematical reasoning. In his manuscript entitled "The Essence of Mathematics,"...
Article in Journal | Posted 17/11/2015
Sabre, Ru M. (2015). Mathematics and Peirce's semiotic
It is shown here that Peirce's ten trichotomies, specifically art as discussed in , provides a structure for presenting a mathematical conjecture and provide a heuristic for going about...
News | Posted 07/11/2015
Symposium on Peirce's Mathematics

Symposium in Bogotá

Dictionary Entry | Posted 19/10/2015
Quote from "Second Talk to the Phil. Club [and] Second Talk. On Deduction"

Mathematics is the practice of deduction.

Dictionary Entry | Posted 15/10/2015
Quote from "The Prescott Book"

Mathematics wholly relates to hypothetical states of things, perfectly exact, but of a kind that only affect a few very general characters.

Article in Journal | Posted 27/08/2015
Johansen, Mikkel W. (2015). Semiotic Scaffolding in Mathematics
This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field...
Manuscript | Posted 20/08/2015
Peirce, Charles S. (1897-8). Considerations for 8 Lectures. MS [R] 943

Robin Catalogue:
A. MS., n.p., n.d., 2 pp.; plus a typed copy.
Hegel and the logic of continuity. Specific criticism of Hegel’s understanding of mathematics, for example, his...