Mathematical Reasoning

Keyword: Mathematical Reasoning

Article in Journal | Posted 26/02/2016
Pietarinen, Ahti-Veikko, Bellucci, Francesco (2014). New Light on Peirce’s Conceptions of Retroduction, Deduction, and Scientific Reasoning
We examine Charles S. Peirce’s mature views on the logic of science, especially as contained in his later and still mostly unpublished writings (1907–1914). We focus on two main issues. The first...
Article in Journal | Posted 13/02/2016
Hull, Kathleen (2005). The Inner Chambers of his Mind: Peirce's "Neglected Argument" for God as Related to Mathematical Experience
The article explores the extent to which mathematician Charles Peirce's essay "A Neglected Argument for the Reality of God" might be a kind of mathematical argument and its...
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 17/11/2014
Campos, Daniel G. (2009). Imagination,Concentration, and Generalization: Peirce on the Reasoning Abilities of the Mathematician
The article focuses on the mathematical theories of American mathematician and philosopher Charles Sanders Peirce, focusing on ideas related to imagination, concentration, and generalization in the...
Dictionary Entry | Posted 28/09/2014
Quote from "Lowell Lectures. 1903. Lecture 3"

a necessary reasoning is one which would follow under all circumstances, whether you are talking about the real world or the world of the Arabian Nights’ or what...

Manuscript | Posted 28/09/2014
Peirce, Charles S. (1903). Lowell Lectures. 1903. Lecture 3. MS [R] 459

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 1-41.
The words “Won’t do” (by CSP) appear on the cover of the notebook. Definition of “mathematics.” Denial that mathematics...

Manuscript | Posted 24/09/2014
Peirce, Charles S. (1903). Lecture II [R]. MS [R] 455

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 1-31.
The first and third parts of an introduction to the alpha and beta parts of the system of existential graphs; MS. 456 is...

Manuscript | Posted 23/09/2014
Peirce, Charles S. (1903). Lectures on Logic, to be delivered at the Lowell Institute. Winter of 1903-1904. Lecture I. MS [R] 454

Robin Catalogue:
A. MS., notebook, n.p., 1903, pp. 1-26.
Existential graphs as a system for expressing any assertion with precision is not intended to facilitate but to analyze...

Dictionary Entry | Posted 01/09/2014
Quote from "Lessons of the History of Science"

We find some peoples drawn more toward arithmetic; others more toward geometry. But in either case, a correct method of reasoning was sure to be reached before many centuries of real inquiry had...

Manuscript | Posted 19/12/2012
Peirce, Charles S. (1896 [c.]). Lessons of the History of Science. MS [R] 1288

Robin Catalogue:
A. MS., G-c. 1896-3 [sup(2)G-c.1896-3], pp. 1-47.
Published, in part, as 1.43-125. Unpublished: on blocking the path of inquiry; Ockham’s maxim and...