Harold Noonan

This new book offers a comprehensive and accessible introduction to Frege's remarkable philosophical work, examining the main areas of his writings and demonstrating the connections between them. Frege's main contribution to philosophy spans philosophical logic, the theory of meaning, mathematical logic and the philosophy of mathematics. The book clearly explains and assesses Frege's work in these areas, systematically examining his major concepts, and revealing the links between them. The emphasis is on Frege's highly influential work in philosophical logic and the theory of meaning, including the features of his logic, his conceptions of object, concept and function, and his seminal distinction between sense and reference. Frege will be invaluable for students of the philosophy of language, philosophical logic, and analytic philosophy

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

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.

Standardly, a one-level criterion of identity 1 is given in the form: ∀ x∀ y )where ‘ K’ denotes the kind of thing for which the criterion is being given and ‘ R’ denotes the criterial relation.Thus, we have, for example, the criterion of identity for sets: ∀ x∀ y))and for composites: ∀ x∀ y))and for events: ∀ x∀ y)). is equivalent to the conjunction of: ∀ x and ∀ x )),which just give two necessary 2 conditions for application of the predicate ‘ K’. 3Consider now the reading of ‘ Kx’ as ‘ x is a member of the Theology Department’ and ‘ Rxy’ as ‘ x admires y and y admires x’. On this reading says that every theologian admires himself and admires no other member of the department. In other words it tells us that the theologians are a bunch of narcissists bound together only by mutual contempt or indifference . Suppose that this is 4 true of the theologians. It might also be …

Eric Olson argues that the dynamic view of time must be false. It requires that the question ‘How fast does time pass?’ has an answer. But its only possible answer, one second per second, is not an answer. I argue that Olson has failed to identify what is wrong with talk of time’s passage. Then I argue that, nonetheless, he is right to reject it. To say that time passes is analogous to saying that space is dense, and to ask about the rate of time’s passage is analogous to asking how dense space is. Since the questions are on a par the dynamic view of time, which requires that they are not, is mistaken.

Can the world itself _be_ vague, so that rather than vagueness be a deficiency in our mode of describing the world, it is a necessary feature of any true description of it? Gareth Evans famously poses this question in his paper ‘Can There Be Vague Objects’ (Analysis 38(4):208, 1978 ). In his recent paper ‘Indeterminacy and Vagueness: Logic and Metaphysics’, Peter van Inwagen ( 2009 ) elaborates the account of vagueness and, in particular, in the case of sentences, consequent indeterminacy in truth value, to which this conception of ‘worldly’ vagueness is opposed, calling it the ‘sensible’ theory of indeterminacy and rejecting it. In what follows, I defend the sensible theory van Inwagen rejects. I first explain more fully what it involves and, as importantly, what it does not.

My purpose is to explore the possible lines of reply available to a defender of the neo‐Lockean position on personal identity in response to the recently popular ‘animalist’ objection. I compare the animalist objection with an objection made to Locke by Bishop Butler, Thomas Reid and, in our own day, Sydney Shoemaker. I argue that the only possible response available to a defender of Locke against the Butler–Reid–Shoemaker objection is to reject Locke's official definition of a person as a thinking, intelligent thing and replace it with the concept of the self– the object of self‐reference – and that this response is equally obligatory for the neo‐Lockean in replying to the animalist. I explore other possibilities, including the position that there is no sense in talking about personal identity at all.