Pasch’s philosophy of mathematics
Review of Symbolic Logic 3 (1):93-118 (2010)
Abstract
Moritz Pasch (1843ber neuere Geometrie (1882), in which he also clearly formulated the view that deductions must be independent from the meanings of the nonlogical terms involved. Pasch also presented in these lectures the main tenets of his philosophy of mathematics, which he continued to elaborate on throughout the rest of his life. This philosophy is quite unique in combining a deductivist methodology with a radically empiricist epistemology for mathematics. By taking into consideration publications from the entire span of Paschs highly original, but virtually unknown, philosophy of mathematics is presentedAuthor's Profile
DOI
10.1017/s1755020309990311
My notes
Similar books and articles
Axiomatics and progress in the light of 20th century philosophy of science and mathematics.Dirk Schlimm - 2006 - In Benedikt Löwe, Volker Peckhaus & T. Rasch (eds.), Foundations of the Formal Sciences IV. College Publications. pp. 233–253.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Analytics
Added to PP
2010-02-07
Downloads
99 (#126,590)
6 months
3 (#225,457)
2010-02-07
Downloads
99 (#126,590)
6 months
3 (#225,457)
Historical graph of downloads
Author's Profile
Citations of this work
Philosophy of Mathematical Practice — Motivations, Themes and Prospects†.Jessica Carter - 2019 - Philosophia Mathematica 27 (1):1-32.
On the relationship between plane and solid geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.
Hilbert, duality, and the geometrical roots of model theory.Günther Eder & Georg Schiemer - 2018 - Review of Symbolic Logic 11 (1):48-86.
Dedekind and Hilbert on the foundations of the deductive sciences.Ansten Klev - 2011 - Review of Symbolic Logic 4 (4):645-681.
Cassirer and the Structural Turn in Modern Geometry.Georg Schiemer - 2018 - Journal for the History of Analytical Philosophy 6 (3).
References found in this work
The Structure of Science: Problems in the Logic of Scientific Explanation.Ernest Nagel - 1961 - New York, NY, USA: Harcourt, Brace & World.
Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press.
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931.Jean van Heijenoort (ed.) - 1967 - Cambridge: Harvard University Press.
A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation.John Stuart Mill - 1843 - London, England: Longmans, Green, Reader, and Dyer.
