Erkenntnis:1-18 (forthcoming)

Authors
Casper Storm Hansen
Institute of Philosophy, Chinese Academy of Sciences
Abstract
According to L.E.J. Brouwer, there is room for non-definable real numbers within the intuitionistic ontology of mental constructions. That room is allegedly provided by freely proceeding choice sequences, i.e., sequences created by repeated free choices of elements by a creating subject in a potentially infinite process. Through an analysis of the constitution of choice sequences, this paper argues against Brouwer’s claim.
Keywords Intuitionism  Potential Infinity  Choice Sequences  The Continuum  Platonism
Categories (categorize this paper)
DOI 10.1007/s10670-019-00205-3
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,132
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Past, present and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
Intuitionism and Formalism.L. E. J. Brouwer - 1913 - Bulletin of the American Mathematical Society 20:81-96.
Constructive Analysis.Errett Bishop & Douglas Bridges - 1987 - Journal of Symbolic Logic 52 (4):1047-1048.
Brouwer's Incomplete Objects.Joop Niekus - 2010 - History and Philosophy of Logic 31 (1):31-46.

View all 9 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Relative Lawlessness in Intuitionistic Analysis.Joan Rand Moschovakis - 1987 - Journal of Symbolic Logic 52 (1):68-88.
Realizing Brouwer's Sequences.Richard E. Vesley - 1996 - Annals of Pure and Applied Logic 81 (1-3):25-74.
Choice Sequences and Informal Rigour.A. S. Troelstra - 1985 - Synthese 62 (2):217 - 227.
Spreads or Choice Sequences?H. C. M. De Swart - 1992 - History and Philosophy of Logic 13 (2):203-213.
Cofinally Invariant Sequences and Revision.Edoardo Rivello - 2015 - Studia Logica 103 (3):599-622.
Brouwer's Incomplete Objects.Joop Niekus - 2010 - History and Philosophy of Logic 31 (1):31-46.
Book Review: Mark van Atten. On Brouwer. [REVIEW]O. Bradley Bassler - 2006 - Notre Dame Journal of Formal Logic 47 (4):581-599.

Analytics

Added to PP index
2020-01-04

Total views
17 ( #617,783 of 2,454,729 )

Recent downloads (6 months)
4 ( #179,601 of 2,454,729 )

How can I increase my downloads?

Downloads

My notes