(1993). Thomas solly (1816–1875):an unknown pioneer of the mathematization of logic in england, 1839. History and Philosophy of Logic: Vol. 14, No. 2, pp. 133-169.

One way to determine the quality and pace of change in a science as it undergoes a major transition is to follow some feature of it which remains relatively stable throughout the process. Following the chosen item as it goes through reinterpretation permits conclusions to be drawn about the nature and scope of the broader change in question. In what follows, this device is applied to the change which took place in logic in the mid-nineteenth century. The feature chosen as (...) the focal point is the categorical syllogism. (shrink)

Charles S. Peirce frequently mentioned reading Richard Whately's Elements of Logic when he was 12 years old. Throughout his life, Peirce emphasized the importance of that experience. This valorization of Whately is puzzling at first. Early in his career Peirce rejected Whately's central logical doctrines. What valuable insight concerning logic was robust enough to survive these specific rejections? Peirce recommended a biographical approach to understanding his philosophy. This essay follows that suggestion by considering Peirce's reading of Whately in a larger (...) life context. Surprisingly many factors in Charles Peirce's personal and intellectual development were at play when he read Whately. His father, Benjamin Peirce, oversaw rigorous home schooling intended to train young Charley for a brilliant intellectual career. Laboratory experience with qualitative chemical analysis exposed the boy to the logic of scientific investigation, specifically to the hypothetico-deductive method of inquiry. However, tensions between father and son developed over Charles' wish to devote his life to studying the logic of science. The two also disagreed upon the value of formal science. Against this background we will review relevant logical doctrines of Whately's book, as well as his innovative formalizing practice of logical inquiry. Then we will see that it was Whately's lessons about formal science that were of such importance to Peirce. (shrink)

If we consider heritage as a process of exhibiting the past and the present to present these for future observers then encyclopedias are good candidates for assessing what constitutes heritage. We propose to study the Fluxion entries in British encyclopaedias over a long period of time. With the help of this corpus of more than thirty articles, it will then be possible to identify several markers that contribute to making mathematics a heritage object—a reference to history, sources of inspiration and (...) bibliographical references. (shrink)

(2000). ROBERT LESLIE ELLIS AND JOHN STUART MILL ON THE ONE AND THE MANY OF FREQUENTISM. British Journal for the History of Philosophy: Vol. 8, No. 2, pp. 251-274.