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Stenlund, Sören
Publications (10 of 28) Show all publications
Stenlund, S. (2014). The Origin of Symbolic Mathematics and the End of the Science of Quantity. Uppsala: Department of Philosophy
Open this publication in new window or tab >>The Origin of Symbolic Mathematics and the End of the Science of Quantity
2014 (English)Book (Other academic)
Place, publisher, year, edition, pages
Uppsala: Department of Philosophy, 2014. p. 93
National Category
Philosophy
Identifiers
urn:nbn:se:uu:diva-221570 (URN)978-91-506-2388-8 (ISBN)
Available from: 2014-04-02 Created: 2014-04-02 Last updated: 2014-04-03Bibliographically approved
Stenlund, S. (2012). Different Senses of Finitude: an inquiry into Hilbert's finitism. Synthese, 185(3), 335-363
Open this publication in new window or tab >>Different Senses of Finitude: an inquiry into Hilbert's finitism
2012 (English)In: Synthese, ISSN 0039-7857, E-ISSN 1573-0964, Vol. 185, no 3, p. 335-363Article in journal (Refereed) Published
Abstract [en]

This article develops a critical investigation of the epistemological core of Hilbert's foundational project, the so-called the finitary attitude. The investigation proceeds by distinguishing different senses of 'number' and 'finitude' that have been used in the philosophical arguments. The usual notion of modern pure mathematics, i.e. the sense of number which is implicit in the notion of an arbitrary finite sequence and iteration is one sense of number and finitude. Another sense, of older origin, is connected with practices of counting concrete things, and a third sense is linked up with the immediate intuitive experience of multitudes of concrete things. Hilbert's finitism is examined with respect to these differences, and it will be shown that there is a tendency to conflate the different senses of number and finitude, a tendency which has been a source of problems in the discussion of the foundations of mathematics and in the philosophy of logic and language.

Place, publisher, year, edition, pages
Springer, 2012
Keywords
Husserl, Hilbert, Life-word, Finitism, Metamathematics, Kant, Perceptual intuition, Number, Counting, Concrete objects, Surveyable, Foundations of mathematics
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-146172 (URN)10.1007/s11229-010-9823-2 (DOI)000303530700002 ()
Available from: 2011-02-15 Created: 2011-02-15 Last updated: 2017-12-11Bibliographically approved
Stenlund, S. (2012). Le "Wittgenstein intermédiaire" et les mathématiques modernes [Letter to the editor]. Philosophiques, 39(1), 125-161
Open this publication in new window or tab >>Le "Wittgenstein intermédiaire" et les mathématiques modernes
2012 (French)In: Philosophiques, Vol. 39, no 1, p. 125-161Article in journal, Letter (Refereed) Published
Place, publisher, year, edition, pages
Québec: Montréal, 2012
Keywords
Wittgenstein, langage, calcul, mathématique, Hilbert
National Category
Humanities
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-183507 (URN)10.7202/1011613ar (DOI)
Available from: 2012-10-28 Created: 2012-10-28 Last updated: 2018-06-04Bibliographically approved
Stenlund, S. (2012). The "Middle Wittgenstein" and Modern Mathematics (1ed.). In: P. Dybjer, S. Lindström, E. Palmgren, G. Sundholm (Ed.), Epistemology versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf (pp. 139-159). Dordrecht: Springer
Open this publication in new window or tab >>The "Middle Wittgenstein" and Modern Mathematics
2012 (English)In: Epistemology versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf / [ed] P. Dybjer, S. Lindström, E. Palmgren, G. Sundholm, Dordrecht: Springer, 2012, 1, p. 139-159Chapter in book (Refereed)
Place, publisher, year, edition, pages
Dordrecht: Springer, 2012 Edition: 1
Series
Logic, Epistemology, and the Unity of Science ; 27
Keywords
Husserl - Hilbert - Life-world - Finitism - Metamathematics - Kant - Perceptual intuition - Number - Counting - Concrete object - Surveyable -
National Category
Humanities
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-183599 (URN)10.1007/s11229-010-9823-2 (DOI)978-94-007-4434-9 (ISBN)978-94-007-4435-6 (ISBN)
Available from: 2012-10-30 Created: 2012-10-30 Last updated: 2018-06-04Bibliographically approved
Stenlund, S. (2011). Philosophy and Critique of Culture. In: N. Forsberg & S. Jansson (Ed.), Making a Difference: Rethinking Humanism and the Humanities (pp. 35-50). Stockholm: Thales
Open this publication in new window or tab >>Philosophy and Critique of Culture
2011 (English)In: Making a Difference: Rethinking Humanism and the Humanities / [ed] N. Forsberg & S. Jansson, Stockholm: Thales , 2011, p. 35-50Chapter in book (Other academic)
Place, publisher, year, edition, pages
Stockholm: Thales, 2011
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-146169 (URN)978-91-7235-076-2 (ISBN)
Available from: 2011-02-15 Created: 2011-02-15 Last updated: 2012-01-10Bibliographically approved
Stenlund, S. (2009). Aspects on Mathematical Platonism. In: L-G. Johansson, J. Österberg & R. Sliwinski (Ed.), Logic, Ethics and All That Jazz: essays in Honour of Jordan Howard Sobel (pp. 299-311). Uppsala: Department of Philosophy, Uppsala University
Open this publication in new window or tab >>Aspects on Mathematical Platonism
2009 (English)In: Logic, Ethics and All That Jazz: essays in Honour of Jordan Howard Sobel / [ed] L-G. Johansson, J. Österberg & R. Sliwinski, Uppsala: Department of Philosophy, Uppsala University , 2009, p. 299-311Chapter in book (Other academic)
Place, publisher, year, edition, pages
Uppsala: Department of Philosophy, Uppsala University, 2009
Series
Uppsala Philosophical Studies / Uppsala University, Department of Philosophy, ISSN 1402-1110 ; 57
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-146143 (URN)978-91-506-2078-8 (ISBN)
Available from: 2011-02-15 Created: 2011-02-15 Last updated: 2012-01-10Bibliographically approved
Stenlund, S. (2009). Hilbert and the Problem of Clarifying the Infinite. In: Logicism, Intuitionism, and Formalism: What has become of them? (pp. 485-504). Dordrecht: Springer
Open this publication in new window or tab >>Hilbert and the Problem of Clarifying the Infinite
2009 (English)In: Logicism, Intuitionism, and Formalism: What has become of them?, Dordrecht: Springer , 2009, p. 485-504Chapter in book (Other academic)
Place, publisher, year, edition, pages
Dordrecht: Springer, 2009
Series
Synthese Library, ISSN 0082-1128 ; 341
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-99747 (URN)978-1-4020-8925-1 (ISBN)
Available from: 2009-03-19 Created: 2009-03-19 Last updated: 2009-03-19Bibliographically approved
Stenlund, S. (2009). Philosophy and Honesty. In: Wittgenstein and Philosophical Psychology: Essays in Honour of Lars Hertzberg (pp. 1-12). Uppsala: Department of Philosophy, Uppsala University
Open this publication in new window or tab >>Philosophy and Honesty
2009 (English)In: Wittgenstein and Philosophical Psychology: Essays in Honour of Lars Hertzberg, Uppsala: Department of Philosophy, Uppsala University , 2009, p. 1-12Chapter in book (Other academic)
Place, publisher, year, edition, pages
Uppsala: Department of Philosophy, Uppsala University , 2009
Series
Uppsala Philosophical Studies, ISSN 1402-1110 ; 55
Keywords
Wittgenstein, philosophical psychology
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-99749 (URN)978-91-506-2046-7 (ISBN)
Available from: 2009-03-19 Created: 2009-03-19 Last updated: 2009-03-19Bibliographically approved
Stenlund, S. (2009). von Wright on the Future of Logic and Philosophy. In: Philosophical Probings: Essays on von Wright's Later Work (pp. 185-198). : Automatic Press/VIP 2009
Open this publication in new window or tab >>von Wright on the Future of Logic and Philosophy
2009 (English)In: Philosophical Probings: Essays on von Wright's Later Work, Automatic Press/VIP 2009 , 2009, p. 185-198Chapter in book (Other academic)
Place, publisher, year, edition, pages
Automatic Press/VIP 2009, 2009
Keywords
von Wright, logic, rationality, action
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-99750 (URN)978-87-92130-20-4 (ISBN)87-92130-20-8 (ISBN)
Available from: 2009-03-19 Created: 2009-03-19 Last updated: 2009-03-19Bibliographically approved
Stenlund, S. (2009). Wittgenstein om oändlighet, matematiska satser och bevis. Norsk Filosofisk Tidsskrift, 44(3-4), 258-273
Open this publication in new window or tab >>Wittgenstein om oändlighet, matematiska satser och bevis
2009 (Swedish)In: Norsk Filosofisk Tidsskrift, ISSN 0029-1943, E-ISSN 1504-2901, Vol. 44, no 3-4, p. 258-273Article in journal (Refereed) Published
Place, publisher, year, edition, pages
Oslo: Universitetsförlaget, 2009
Keywords
aspect-perception, extension, formalism, generality, internal relation, realism, rule
National Category
Humanities
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-120055 (URN)
Available from: 2010-03-05 Created: 2010-03-05 Last updated: 2018-06-04Bibliographically approved
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