This edited volume comes out of a one-day conference on philosophical logic at the British Academy in 1996. Philosophical logic covers a number of areas of thought, contrasting with the formal thinking of mathematical logic. Specifically, the essays here are concerned with language, including James Higginbotham, Professor of General Linguistics, Oxford, on 'Higher-Order Logic and Natural Language'.

Precursors. 2.1 Introduction Thus far I have presented an approach to the semantics of plurals in the form of two rather similar grammars for a fragment of English. And I have given a few examples of the kinds of things one can say within this ...

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s Paradoxien . This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

In "Frege: Philosophy of Mathematics" Dummett recommends the following thesis, (PNP): the correct analysis of any sentence containing a plural noun phrase will show that the phrase is functioning predictively. According to Dummett, (PNP), applied to numerical predications such as the leaves are 1,000' is the key premise in Frege's argument against Mill's theory of numbers. But Frege never subscribed to (PNP) and he rejected such numerical predications, and point out how Frege's own semantic theory for plural noun phrases obscures (...) his idea of a relation. (shrink)

I relate plural quantification, and predicate logic where predicates do not need a fixed number of argument places, to the part-whole relation. For more on these themes see later work by Boolos, Lewis, and Oliver & Smiley.

Now in a new edition, this volume updates Davidson's exceptional Inquiries into Truth and Interpretation (1984), which set out his enormously influential philosophy of language. The original volume remains a central point of reference, and a focus of controversy, with its impact extending into linguistic theory, philosophy of mind, and epistemology. Addressing a central question--what it is for words to mean what they do--and featuring a previously uncollected, additional essay, this work will appeal to a wide audience of philosophers, linguists, (...) and psychologists. (shrink)

The remainder of thi8 work will have a different object from that of the four preceding books, which were contained in the first volume. ...