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9 - The art of thinking (1662)

Published online by Cambridge University Press:  05 April 2013

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Summary

Chances, odds, ‘hazards’ (the stock in trade of aleatory probability) are basically quantitative. There is no way to understand odds without understanding numerical ratios. Epistemic probability is not like this. You can compare the degree to which evidence warrants several propositions without recourse to numbers. Indeed Keynes argued masterfully in Chapter 3 of his Treatise on Probability that many comparisons of probability are necessarily qualitative and cannot be represented by real numbers. Subsequently B. O. Koopman [1940] elaborated the logic of qualitative probability. A new book by T. Fine [1973] advances this work several stages further. There is nothing logically defective in mere comparisons of probability. But as a matter of historical fact epistemic probability did not emerge as a significant concept for logic until people thought of measuring it. When did this begin?

It is convenient to answer by looking at the word ‘probability’ itself. We need not do this. We are concerned with the first occasion on which some probabilistic expression with epistemic overtones was systematically used to denote something measurable. We could survey the usage of ‘credibility’ or whatever, but in fact the word ‘probability’ itself is the one to watch for. So we ask the exact question: when was this word first used to denote something measurable?

The answer seems to be 1662, in the concluding pages of the Port Royal Logic. There could not have been a more auspicious beginning. La logique, ou l'art de penser was the most successful logic book of the time and cast the mould for generations of future treatises.

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The Emergence of Probability
A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference
, pp. 73 - 84
Publisher: Cambridge University Press
Print publication year: 2006

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