Abstract
Peirce used the concept of continuity for the description of generality. His continuum is of greater “cardinality” than any set and contains infmitesimals. Arguing in continuous contexts demands different logical laws from those in discrete contexts. It is not clear what Peirce meant by the Principle of Excluded Middle. Peirce developed a three-valued logic. We have good reasons to assume that the Principle of Bivalence is not valid for statements about the whole continuum.
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Zink, J. (2001). Peirce and the Continuum from a Philosophical Point of View. In: Schuster, P., Berger, U., Osswald, H. (eds) Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum. Synthese Library, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9757-9_25
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DOI: https://doi.org/10.1007/978-94-015-9757-9_25
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