David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
There was a methodological revolution in the mathematics of the nineteenth century, and philosophers have, for the most part, failed to notice.2 My objective in this chapter is to convince you of this, and further to convince you of the following points. The philosophy of mathematics has been informed by an inaccurately narrow picture of the emergence of rigour and logical foundations in the nineteenth century. This blinkered vision encourages a picture of philosophical and logical foundations as essentially disengaged from ongoing mathematical practice. Frege is a telling example: we have misunderstood much of what Frege was trying to do, and missed the intended signiﬁcance of much of what he wrote, because our received stories underestimate the complexity of nineteenth-century mathematics and mislocate Frege’s work within that context. Given Frege’s perceived status as a paradigmatic analytic philosopher, this mislocation translates into an unduly narrow vision of the relation between mathematics and philosophy. This chapter surveys one part of a larger project that takes Frege as a benchmark to ﬁx some of the broader interest and philosophical signiﬁcance of nineteenth-century developments. To keep this contribution to a manageable..
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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.
Citations of this work BETA
Mirja Helena Hartimo (2008). From Geometry to Phenomenology. Synthese 162 (2):225 - 233.
Otávio Bueno (2012). Styles of Reasoning: A Pluralist View. Studies in History and Philosophy of Science Part A 43 (4):657-665.
Similar books and articles
Jamie Tappenden (1995). Geometry and Generality in Frege's Philosophy of Arithmetic. Synthese 102 (3):319 - 361.
Erich H. Reck (2013). Frege or Dedekind? Towards a Reevalaution of Their Legacies. In , The Historical Turn in Analytic Philosophy. Palgrave Macmillan.
Jan Wolenński (1997). Hans Sluga (Ed.), The Philosophy of Frege. A Four-Volume Collection of Scholarly Articles on All Aspects of Frege's Philosophy, Vol.1: General Assessments and Historical Accounts of Frege's Philosophy, Vol.2: Logic and Foundations of Mathematics in Frege's Philosophy, Vol.3: Meaning and Ontology in Frege's Philosophy, Vol.4: Sense and Reference in Frege's Philosophy. [REVIEW] Erkenntnis 46 (3):407-410.
Michael A. E. Dummett (1991). Frege: Philosophy of Mathematics. Harvard University Press.
Jamie Tappenden (1997). Metatheory and Mathematical Practice in Frege. Philosophical Topics 25 (2):213-264.
Emily Grosholz (2000). Frege and the Surprising History of Logic: Introduction to Claude Imbert, "Gottlob Frege, One More Time&Quot;. Hypatia 15 (4):151-155.
Øystein Linnebo (2008). The Nature of Mathematical Objects. In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. 205--219.
O. Darrigol (2003). Number and Measure: Hermann Von Helmholtz at the Crossroads of Mathematics, Physics, and Psychology. Studies in History and Philosophy of Science Part A 34 (3):515-573.
William Demopoulos (1994). Frege and the Rigorization of Analysis. Journal of Philosophical Logic 23 (3):225 - 245.
Gottlob Frege & Michael Beaney (eds.) (1997). The Frege Reader. Blackwell Publishers.
Added to index2010-12-22
Total downloads53 ( #32,265 of 1,099,789 )
Recent downloads (6 months)8 ( #33,241 of 1,099,789 )
How can I increase my downloads?