Graduate studies at Western
Transactions of the Charles S. Peirce Society 42 (4):501-517 (2006)
|Abstract||This paper considers Peirce's striking remarks about mathematics in a little-known review of Spinoza's Ethics within the larger context of his philosophy of mathematics. It argues that, for Peirce, true mathematical reasoning is always at the vanguard of thought, and resists logical demonstration. Through diagrammatic thought and her pre-theoretical innate faculty of logica utens, the great mathematician is able to see a theorem as true long before the logical apparatus necessary to demonstrate its truth exists. For Peirce, true (theoremic) mathematical thought is in some sense pre-logical, and thus, the logical demonstration of this thought in the form of mathematical proofs is in fact "merely a veil over the living thought."|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Cornelis De Waal (2005). Why Metaphysics Needs Logic and Mathematics Doesn't: Mathematics, Logic, and Metaphysics in Peirce's Classification of the Sciences. Transactions of the Charles S. Peirce Society 41 (2):283 - 297.
Elizabeth F. Cooke (2003). Peirce, Fallibilism, and the Science of Mathematics. Philosophia Mathematica 11 (2):158-175.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Pilar Castrillo (2002). La Implicacion y la Filosofia de la Logica en Peirce. Theoria 17 (3):517-539.
Alison Walsh (1997). Differentiation and Infinitesimal Relatives in Peirce's 1870 Paper on Logic: A New Interpretation. History and Philosophy of Logic 18 (2):61-78.
Shannon Dea (2008). Firstness, Evolution and the Absolute in Peirce's Spinoza. Transactions of the Charles S. Peirce Society 44 (4):pp. 603-628.
Kelly A. Parker (1998). The Continuity of Peirce's Thought. Vanderbilt University Press.
Daniel G. Campos (2007). Peirce on the Role of Poietic Creation in Mathematical Reasoning. Transactions of the Charles S. Peirce Society 43 (3):470 - 489.
Added to index2009-01-28
Total downloads29 ( #48,114 of 739,406 )
Recent downloads (6 months)1 ( #61,269 of 739,406 )
How can I increase my downloads?