History and Philosophy of Logic 38 (1):24-47 (2017)

Mark van Atten
Centre National de la Recherche Scientifique
We present a new English translation of L.E.J. Brouwer's paper ‘De onbetrouwbaarheid der logische principes’ of 1908, together with a philosophical and historical introduction. In this paper Brouwer for the first time objected to the idea that the Principle of the Excluded Middle is valid. We discuss the circumstances under which the manuscript was submitted and accepted, Brouwer's ideas on the principle of the excluded middle, its consistency and partial validity, and his argument against the possibility of absolutely undecidable propositions. We note that principled objections to the general excluded middle similar to Brouwer's had been advanced in print by Jules Molk two years before. Finally, we discuss the influence on George Griss' negationless mathematics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445340.2016.1210986
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: 70,163
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

Logische Untersuchungen.Edmund Husserl (ed.) - 1900 - Felix Meiner Verlag.

View all 38 references / Add more references

Citations of this work BETA

Proof Vs Provability: On Brouwer’s Time Problem.Palle Yourgrau - 2020 - History and Philosophy of Logic 41 (2):140-153.
Brouwer’s Notion of ‘Egoicity’.Ivan Restović - 2022 - Axiomathes 32 (1):83-100.

Add more citations

Similar books and articles

Dummett, Brouwer and the Metaphysics of Mathematics.Eric P. Tsui-James - 1998 - Grazer Philosophische Studien 55 (1):143-168.
Wittgenstein and Brouwer.Mathieu Marion - 2003 - Synthese 137 (1-2):103 - 127.
Generalizations of the Weak Law of the Excluded Middle.Andrea Sorbi & Sebastiaan A. Terwijn - 2015 - Notre Dame Journal of Formal Logic 56 (2):321-331.
Brouwer, as Never Read by Husserl.Mark van Atten - 2003 - Synthese 137 (1-2):3-19.
From a Brouwerian Point of View.D. van Dalen - 1998 - Philosophia Mathematica 6 (2):209-226.
Brouwer’s Argument for the Unity of Scientific Theories.Mark van Atten - 2002 - Vienna Circle Institute Yearbook 9:95-102.


Added to PP index

Total views
74 ( #156,023 of 2,507,062 )

Recent downloads (6 months)
2 ( #277,393 of 2,507,062 )

How can I increase my downloads?


My notes