The genesis of the Peircean continuum

Transactions of the Charles S. Peirce Society 43 (3):425 - 469 (2007)
  Copy   BIBTEX

Abstract

: In the Cambridge Conferences Lectures of 1898 Peirce defines a continuum as a "collection of so vast a multitude" that its elements "become welded into one another." He links the transinfinity (the "vast multitude") of a continuum to the confusion of its elements by a line of mathematical reasoning closely related to Cantor's Theorem. I trace the mathematical and philosophical roots of this conception of continuity, and examine its unresolved tensions, which arise mainly from difficulties in Peirce's theory of collections

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,446

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Is Cantor's continuum problem inherently vague?Kai Hauser - 2002 - Philosophia Mathematica 10 (3):257-285.
The continuity of Peirce's thought.Kelly A. Parker - 1998 - Nashville: Vanderbilt University Press.
Peirce's Metaphysics: Evolution, Synechism, and the Mathematical Conception of the Continuum.Gordon Locke - 2000 - Transactions of the Charles S. Peirce Society 36 (1):133 - 147.
On the strong Martin conjecture.Masanori Itai - 1991 - Journal of Symbolic Logic 56 (3):862-875.
Continuum, name and paradox.Vojtěch Kolman - 2010 - Synthese 175 (3):351 - 367.
Peirce on Cantor's Paradox and the Continuum.Wayne C. Myrvold - 1995 - Transactions of the Charles S. Peirce Society 31 (3):508 - 541.

Analytics

Added to PP
2009-01-28

Downloads
85 (#178,953)

6 months
3 (#426,595)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Labyrinth of Continua.Patrick Reeder - 2018 - Philosophia Mathematica 26 (1):1-39.
Josiah Royce.Kelly A. Parker - 2008 - Stanford Encyclopedia of Philosophy.
Kant’s Universalism versus Pragmatism.Hemmo Laiho - 2019 - In Krzysztof Skowroński & Sami Pihlström (eds.), Pragmatist Kant—Pragmatism, Kant, and Kantianism in the Twenty-first Century. Helsinki, Finland: pp. 60-75.

View all 6 citations / Add more citations

References found in this work

No references found.

Add more references