Using and Interpreting the Probability Calculus

Matthew D. Lund

Research output: Chapter in Book/Report/Conference proceedingChapter


We have been discussing some of the fundamental features of the classical calculus of probability. The equiprobability of rival events was seen to be a major assumption of the calculus. Moreover, it is an assumption which the pure mathematician need not bother to justify. He need only present his formal system as follows: If all the alternatives are equiprobable, then my system provides the complete machinery for calculating the probability of alternative events occurring. But whether actual alternatives, say in a laboratory experiment, are equiprobable is not for the pure mathematician to say. He is concerned only to work out the consequences of a system based upon that assumption.

Original languageEnglish (US)
Title of host publicationSynthese Library
PublisherSpringer Science and Business Media B.V.
Number of pages13
StatePublished - 2018

Publication series

NameSynthese Library
ISSN (Print)0166-6991
ISSN (Electronic)2542-8292

All Science Journal Classification (ASJC) codes

  • History and Philosophy of Science
  • History
  • Language and Linguistics
  • Logic


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