Philosophia Scientae 19:143-158 (2015)

Ioannis Vandoulakis
Hellenic Open University
The paper examines Andrei A. Markov’s critical attitude towards L.E.J. Brouwer’s intuitionism, as is expressed in his endnotes to the Russian translation of Heyting’s Intuitionism, published in Moscow in 1965. It is argued that Markov’s algorithmic approach was shaped under the impact of the mathematical style and values prevailing in the Petersburg mathematical school, which is characterized by the proclaimed primacy of applications and the search for rigor and effective solutions.
Keywords Foundations of Mathematics  Mathematical Logic  Intuitionism  Constructivism  Andrei A. Markov  Arend Heyting  Luitzen E. J. Brouwer
Categories (categorize this paper)
DOI 10.4000/philosophiascientiae.1054
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: 71,410
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

No references found.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Being and Time and Brouwer's Intuitionism.Michael Roubach - 2005 - Angelaki 10 (1):181 – 186.
Brouwer’s Argument for the Unity of Scientific Theories.Mark van Atten - 2002 - Vienna Circle Institute Yearbook 9:95-102.
From a Brouwerian Point of View.D. van Dalen - 1998 - Philosophia Mathematica 6 (2):209-226.
Book Review: Mark van Atten. On Brouwer. [REVIEW]O. Bradley Bassler - 2006 - Notre Dame Journal of Formal Logic 47 (4):581-599.
Dummett, Brouwer and the Metaphysics of Mathematics.Eric P. Tsui-James - 1998 - Grazer Philosophische Studien 55 (1):143-168.


Added to PP index

Total views
29 ( #396,900 of 2,519,700 )

Recent downloads (6 months)
1 ( #406,314 of 2,519,700 )

How can I increase my downloads?


My notes