This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...) program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

The article discusses the varying conceptions of the faculty of ‘the understanding’ in 18th-century British philosophy and logic. Topics include the distinction between the understanding and the will, the traditional division of three acts of understanding and its critics, the naturalizing of human understanding, conceiving of the limits of human understanding, British innatism and the critique of empiricist conceptions of the understanding, and reconceiving the understanding and the elimination of scepticism. Authors discussed include Richard Price, James Harris, Zachary Mayne, Edward (...) Bentham, Isaac Watts, Dugald Stewart, John Norris—as well as Locke, Berkeley, Hume and Reid. (shrink)

History witnesses alternative approaches to “the proposition”. The proposition has been referred to as the object of belief, disbelief, and doubt: generally as the object of propositional attitudes, that which can be said to be believed, disbelieved, understood, etc. It has also been taken to be the object of grasping, judging, assuming, affirming, denying, and inquiring: generally as the object of propositional actions, that which can be said to be grasped, judged true or false, assumed for reasoning purposes, etc. The (...) proposition has also been taken to be the subject of truth and falsity: generally as the subject of propositional properties, that which can be said to be true, false, tautological, informative, inconsistent,etc. It has also been taken as the subject and object of logical relations, e.g. that which can be said to imply, be implied, contradict, be contradicted, etc. Prima facie, such properties and relations are non-mental and objective. It has also been taken to be the resultants or products of propositional operations, usually mental or linguistic; e.g. judging, affirming, and denying have been held to produce propositions called judgments, affirmations, and negations, respectively. Propositions have also been taken to be certain declarative sentences. Finally,propositions have been taken to be meanings of certain declarative sentences. This essay is an informal, selective, and incomplete survey of alternative approaches to “the proposition” with special attention to the views of the late American philosopher Peter Hare (1935–2008)and of those who influenced him. DOI: 10.5007/1808-1711.2011v15n1p51. (shrink)

(2001). Locke‐Stewart‐Mill: Philosophy of science at Dartmouth College, 1771‐1854. International Studies in the Philosophy of Science: Vol. 15, No. 2, pp. 167-175.

In the “Appendix” to the Treatise, Hume claims that he has discovered a “very considerable” mistake in his earlier discussion of the self. Hume's expression of the problem is notoriously opaque, leading to a vast scholarly debate as to exactly what problem he identified in his earlier account of the self. I propose a new solution to this interpretive puzzle. I argue that a tension generated by Hume's conceptual skepticism about real “principles of union” and his account of fictions of (...) the imagination is the defect identified in the “Appendix.”. (shrink)

In IV, xvii, 19–22 of his Essay, Locke employs Latin labels for four kinds of argument, of which one (ad hominem) was already in circulation and one (ad judicium) has never had much currency. The present proposal seeks to locate and clarify what Locke was aiming to describe, and to contrast what he says with some subsequent uses that have been made of these labels as if they named fallacies. Though three of the four kinds of argument that Locke picks (...) out are often less than decisive, he casts no aspersion on the legitimacy of their use in debate. (shrink)