The framing of the fundamental probability set: A historical case study on the context of mathematical discovery

Perspectives on Science 17 (4):pp. 385-416 (2009)
  Copy   BIBTEX

Abstract

I address the philosophical debate over whether the mathematical theory of probability arose on the basis of empirical observations or of purely theoretical speculations. The debate tends to pose a strict dichotomy between empirical problem-solving and pure theorizing. I alternatively suggest that, in the case of mathematical probability, an empirical problem-context acted as an enabling condition for the possibility of mathematical innovation, but that the activity of the early mathematical probabilists gradually became the study of a theoretical system of ideas. This case has some implications for a more general philosophical view on the context of mathematical discovery. ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,509

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Why Do Mathematicians Re-Prove Theorems?John W. Dawson Jr - 2006 - Philosophia Mathematica 14 (3):269-286.
Probability.Branden Fitelson, Alan Hajek & Ned Hall - 2006 - In Jessica Pfeifer & Sahotra Sarkar (eds.), The Philosophy of Science: An Encyclopedia. Routledge.
Probability: A New Logico-Semantical Approach. [REVIEW]Christina Schneider - 1994 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 25 (1):107 - 124.
Probability and Decision.H. E. Kyburg - 1966 - Philosophy of Science 33 (3):250-261.
What Numbers Are Real?Kenneth L. Manders - 1986 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:253 - 269.

Analytics

Added to PP
2009-10-14

Downloads
26 (#443,638)

6 months
1 (#418,511)

Historical graph of downloads
How can I increase my downloads?