Harold Noonan

The response to Kripke’s modal argument I wish to propose appeals to the distinction between indicative descriptions, i.e., descriptions formed using indicative verb forms, and what I shall call subjunctive descriptions, descriptions formed using non-indicative verb forms used in subjunctive conditionals. The contrast is between ‘the person who is richer than anyone else in the world’ and ‘the person who would have been richer than anyone else in the world’. The response to Kripke’s modal argument is that indicative descriptions are always rigid designators and so do not contrast with proper names

What are the requirements on an adequate genuine modal realist analysis of modal discourse? One is material adequacy: the modal realist must provide for each candidate analysandum an analysans in the language of counterpart theory which by his lights has the same truth value as the candidate analysandum. Must the material biconditional joining these be necessarily true? This is the requirement of strict adequacy. It is not satisfied if Lewis’s 1968 scheme provides the analysis. John Divers puts forward a modification, which identifies cases of ‘advanced modalizing’ in which the modal operator is semantically redundant. Even with this modification modal realist analyses of statements of modal discourse will be strictly inadequate. Strict adequacy can be achieved by extending the redundancy interpretation to all de dicto modal statements. The price is the denial of de dicto contingency. But perhaps material adequacy is enough. If the modal realist has a systematic means of replacing every sentence of quantified modal logic which he considers true by a sentence of counterpart theory that he considers true, perhaps he need do no more. Still, traditionally philosophical analysis aims at strict adequacy so it is as well to know that this is a test the modal realist analysis fails unless he abandons de dicto contingency.

The aim of the paper is to discuss some recent variants of familiar puzzles concerning the relations of parts to wholes put forward by Trenton Merricks and Eric Olson. The argument is put forward that so long as the familiar distinction between 'loose and popular' and 'strict and philosophical' senses of identity claims is accepted the paradoxical conclusions at which Merricks and Olson arrive can be resisted. It is not denied that accepting the distinction between 'loose and popular' and 'strict and philosophical' senses of identity claims is itself a departure from common-sense, but it is argued that it is the smallest such departure available to us

Debate between Humean contingentists and anti-Humean necessitarians in the philosophy of science is ongoing. One of the most important contemporary anti-Humeans is Alexander Bird. Bird calls the particular version of Humeanism he is opposed to 'categoricalism'. In his paper (2005) and in Chapter 4 of his book (2007) Bird argues against categoricalism about properties and laws. His arguments against categoricalism about properties are intended to support the necessitarian position he calls dispositional monism. His arguments against categoricalism about laws are intended to refute the contingent regularity view of laws (even in its sophisticated Lewisean version) and the nomic necessitation view of Armstrong (which involves a contingent necessitation relation). The general position Bird defends is that properties are necessarily related to the dispositions they bestow on their bearers and laws are necessary truths. I consider two of Bird's arguments against categoricalism about properties, and one of his arguments against the regularity view of laws. Maybe other arguments against categoricalism are persuasive. These, I submit, are not.

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