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
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DOI 10.1353/csp.2007.0037
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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.

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