Weyl and Two Kinds of Potential Domains

Author:

Crosilla Laura1,Linnebo Øystein1

Affiliation:

1. IFIKK University of Oslo

Abstract

AbstractAccording to Weyl, “‘inexhaustibility’ is essential to the infinite”. However, he distinguishes two kinds of inexhaustible, or merely potential, domains: those that are “extensionally determinate” and those that are not. This article clarifies Weyl's distinction and explains its enduring logical and philosophical significance. The distinction sheds lights on the contemporary debate about potentialism, which in turn affords a deeper understanding of Weyl.

Publisher

Wiley

Subject

Philosophy

Reference60 articles.

1. Avron A.(2020).Weyl reexamined: “Das Kontinuum” 100 years later.The Bulletin of Symbolic Logic 1–57.

2. Bernays P.(1935).On platonism in mathematics. Reprinted in (Benacerraf and Putnam 1983).

3. Cantor G.(1887).Mitteilugen zur Lehre vom Transfiniten I II.Zeitschrift für Philosophie und Philosophische Kritik 91 81–125 252–270. Reprinted in (Cantor et al. 1932) 378–439.

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