This paper shows that William Stanley Jevons was not precursor of logical positivism despite his attempt to build up a unified science. His mechanical reductionism was directed towards this project, and Jevons tried to found mathematics on logic through the development of a theory of number. We show that his attempts were unsuccessful, and that his errors remain visible within the totality of his mechanical system, including his economics. We argue that both his logic and his economics are comprehensible only (...) when interpreted in terms of extent of meaning, and that Jevons? system gives rise to difficulties when interpreted in terms of intent of meaning. We argue that Jevons? methodological recommendations were intended to bridge the gap between extent and intent of meaning. Although Jevons did not succeed in establishing a unified science, his flawed methodology resulted in one of the first applications of statistics to the social sciences. (shrink)

This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time. They then examine developments in the present century.

In early 1864, disappointed by the response to his previous work, the young Manchester academic W. Stanley Jevons announced that he was undertaking a study of the so-called coal question: ‘A good publication on the subject would draw a good deal of attention … it is necessary for the present at any rate to write on popular subjects’. When Jevons's The Coal Question was published in April 1865, however, it received comparatively little attention and sales were slow. Jevons and his (...) publisher, Alexander Macmillan, then began sending complimentary copies to luminaries such as Sir John Herschel and Alfred Tennyson. In February 1866 the marketing campaign produced its first substantial return. Macmillan had sent CQ to William Gladstone who responded with letters to both Macmillan and Jevons, noting that the book had strengthened his ‘conviction’ on the necessity for reducing the National Debt. In April, John Stuart Mill praised CQ in the House of Commons, calling for action on the Debt and, three weeks later, as Chancellor of the Exchequer, Gladstone introduced the budget using half his speech to examine the Debt situation and referring to CQ in support for a proposed measure of Debt reduction. With the extensive publicity given to CQ following Mill's speech and the budget, Jevons had achieved his objective in writing the text which went into a second edition in 1866. On the face of it, CQ 's success was due to its effect of introducing a change in budget policy and this is the impression given by some accounts of the episode. (shrink)

This paper discusses George Boole’s two distinct approaches to the explanatory relationship between logical and psychological theory. It is argued that, whereas in his first book he attributes a substantive role to psychology in the foundation of logical theory, in his second work he abandons that position in favour of a linguistically conceived foundation. The early Boole espoused a type of psychologism and later came to adopt a type of anti-psychologism. To appreciate this invites a far-reaching reassessment of his philosophy (...) of logic. (shrink)

Although the existence of correspondence between George Boole (1815?1864) and William Stanley Jevons (1835?1882) has been known for a long time and part was even published in 1913, it has never been fully noted; in particular, it is not in the recent edition of Jevons's letters and papers. The texts are transcribed here, with indication of their significance. Jevons proposed certain quite radical changes to Boole's system, which Boole did not accept; nevertheless, they were to become well established.

Charles Peirce is often credited for being among the first, perhaps even the first, to develop a scientific metaphysics of indeterminism. After rejecting the received view that Peirce developed his views from Darwin and Maxwell, I argue that Peirce's view results from his synthesis of Immanuel Kant's critical philosophy and George Boole's contributions to formal logic. Specifically, I claim that Kant's conception of the laws of logic as the basis for his architectonic, when combined with Boole's view of probability, yields (...) Peirce's metaphysics of probabilistic laws. Indeterminism provides, therefore, an excellent illustration of how Peirce attempted to use logic to clarify metaphysical problems.Since everyone must have conceptions of things in general, it is most important that they should be carefully constructed. I shall enter into no criticism of the different methods of metaphysical research, but shall merely say that in the opinions of several great thinkers, the only successful mode yet lighted upon is that of adopting our logic as our metaphysics. (W1: 490, 1866)2. (shrink)