On reading the last sentence, did you interpret me as saying falsely that everything — everything in the entire universe — was packed into my carry-on baggage? Probably not. In ordinary language, ‘everything’ and other quantifiers (‘something’, ‘nothing’, ‘every dog’, ...) often carry a tacit restriction to a domain of contextually relevant objects, such as the things that I need to take with me on my journey. Thus a sentence of the form ‘Everything Fs’ is true as uttered in a (...) context C if and only if everything that is relevant in C satisfies the predicate ‘F’; ‘everything’ ranges just over the contextually relevant things. Such generality is restricted in a context-relative way. (shrink)

We investigate a rst-order predicate logic based on Wittgenstein's suggestion to express identity of object by identity of sign, and difference of objects by difference of signs. Hintikka has shown that predicate logic can indeed be set up in such a way; we show that it can be done nicely. More specically, we provide a perspicuous cut-free sequent calculus, as well as a Hilbert-type calculus, for Wittgensteinian predicate logic and prove soundness and completeness theorems.

The word "world" has in fact many ordinary uses as a count noun; I shall discuss some of them below.(2) There is however also a distinctive philosophical use found in recent ontology (in the sense in which Quine reintroduced this term in analytic philosophy, for theories about what there is). As to this philosophical use, I shall argue that there is no reason to think that it refers to anything, if indeed it is intelligible at all.

Denys Turner argues that there are reasons of faith why the existence of God should be thought rationally demonstrable and that it is worthwhile revisiting the theology of Thomas Aquinas to see why. The proposition that the existence of God is demonstrable by rational argument is doubted by nearly all philosophical opinion today and is thought by most Christian theologians to be incompatible with Christian faith. Turner's robust challenge to the prevailing orthodoxies will be of interest to believers as well (...) as non-believers. (shrink)

Wittgenstein, in the Tractatus, conceives the world as ‘the totality of facts’. Type-stratification threatens that conception : the totality of facts is an obvious example of an illegitimate totality. Wittgenstein’s notion of truthoperation evidently has some role to play in avoiding that threat, allowing propositions, and so facts, to constitute a single type. The paper seeks to explain that role in a way that integrates the ‘philosophical’ and ‘technical’ pressures on the notion of an operation.

From an Ontological Point of View is a highly original and accessible exploration of fundamental questions about what there is. John Heil discusses such issues as whether the world includes levels of reality; the nature of objects and properties; the demands of realism; what makes things true; qualities, powers, and the relation these bear to one another. He advances an account of the fundamental constituents of the world around us, and applies this account to problems that have plagued recent work (...) in the philosophy of mind and metaphysics (color, intentionality, and the nature of consciousness). (shrink)

John Heil's new book (Heil 2003) is remarkable in many ways. In a concise, lucid and accessible manner, it develops a complete system of ontology with many strikingly original features and then applies that ontology to fundamental issues in the philosophy of mind, with illuminating results. Although Heil acknowledges his intellectual debts to C. B. Martin (p. viii), he is unduly modest about his own contribution to the development and application of this novel metaphysical system. A full examination of the (...) position that Heil defends would require a book in itself, so I shall limit myself to discussing some of its central themes and to explaining a few doubts that I have concerning some aspects of it. (shrink)

This book explores two questions that are integral to the question of the existence of God. The first question concerns the meaning of "existence" and the second concerns the meaning of "God". Regarding the first question, this book motivates, presents and defends the meta-ontology found in Gottlob Frege's writings and defended by Michael Dummett, Crispin Wright and Bob Hale. Frege's approach to questions of existence has mainly found use in connection with abstract objects such as numbers. This is one of (...) the first studies to systematically present Fregean meta-ontology and apply it to theology. Frege's meta-ontology is informed by his context principle. According to this, logico-syntactic notions such as "singular term" and "predicate" are pivotal to questions of what exists. These notions serve to throw light on the second question. Through thorough engagement with Old as well and New Testament texts, the book shows how Frege's logico-syntactic notions are of crucial importance when seeking to understand the meaning and use of "God". To complete the defence of Fregean meta-ontology, the book concludes by pointing to important differences between the otherwise closely associated concepts of an object found in Wittgenstein's Tractatus Logico-Philosophicus and Frege's writings. (shrink)

Abstract: This paper explores the relevance of themes from Wittgenstein's Tractatus Logico-Philosophicus to the ongoing discussion of metaphysical nihilism. I set out by showing how metaphysical nihilism is of paramount importance for cosmological arguments. Metaphysical nihilism is the position that there might have been nothing. Two conflicting intuitions emerge from a survey of discussions of metaphysical nihilism: Firstly, that metaphysical nihilism is true, and secondly, that formulations of the position are somehow unclear or nonsensical. By considering formalizations of philosophical language, (...) the second intuition is sharpened, while the first intuition is given expression through the Tractarian distinction between what is said and what is shown by our symbolism. I conclude by exploring and rejecting objections to making metaphysical nihilism a scientific, rather than a philosophical question. (shrink)

In this important study D. M. Armstrong offers a comprehensive system of analytical metaphysics that synthesises but also develops his thinking over the last twenty years. Armstrong's analysis, which acknowledges the 'logical atomism' of Russell and Wittgenstein, makes facts the fundamental constituents of the world, examining properties, relations, numbers, classes, possibility and necessity, dispositions, causes and laws. All these, it is argued, find their place and can be understood inside a scheme of states of affairs. This is a comprehensive and (...) rigorously this-worldly account of the most general features of reality, argued from a distinctive philosophical perspective, and it will appeal to a wide readership in analytical philosophy. (shrink)

Intellectual diary of a thinker of the school of Logical Positivism showing the day-by-day development of his philosophical ideas.

This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

This guide to the most interesting work that has recently appeared on Aquinas reflects the revival of interest in his work.

Gottlob Frege and Ludwig Wittgenstein (the later Wittgenstein) are often seen as polar opposites with respect to their fundamental philosophical outlooks: Frege as a paradigmatic "realist", Wittgenstein as a paradigmatic "anti-realist". This opposition is supposed to find its clearest expression with respect to mathematics: Frege is seen as the "arch-platonist", Wittgenstein as some sort of "radical anti-platonist". Furthermore, seeing them as such fits nicely with a widely shared view about their relation: the later Wittgenstein is supposed to have developed his (...) ideas in direct opposition to Frege. The purpose of this paper is to challenge these standard assumptions. I will argue that Frege's and Wittgenstein's basic outlooks have something crucial in common; and I will argue that this is the result of the positive influence Frege had on Wittgenstein. (shrink)

Logical Atomism is a philosophy that sought to account for the world in all its various aspects by relating it to the structure of the language in which we articulate information. In _The Philosophy of Logical Atomism,_ Bertrand Russell, with input from his young student Ludwig Wittgenstein, developed the concept and argues for a reformed language based on pure logic. Despite Russell’s own future doubts surrounding the concept, this founding and definitive work in analytical philosophy by one of the world’s (...) most significant philosophers is a remarkable attempt to establish a novel way of thinking. (shrink)

THE PHILOSOPHY which I advocate is generally regarded as a species of realism, and accused of inconsistency because of the elements in it which seem contrary to that doctrine. For my part, I do not regard the issue between realists and their opponents as a funda- mental one; I could alter my view on this issue without changing my mind as to any of the doctrines upon which I wish to lay stress. I hold that logic is what is fundamental (...) in philosophy, and that schools should be characterized rather by their logic than by their metaphysic. My own logic is atomic, and it is this aspect upon which I should wish to lay stress. Therefore I prefer to describe my philosophy as "logical atomism," rather than as "realism," whether with or without some prefixed adjective. (shrink)

Philip R. Shields shows that ethical and religious concerns inform even the most technical writings on logic and language, and that, for Wittgenstein, the need to establish clear limitations is both a logical and an ethical demand. Rather than merely saying specific things about theology and religion, major texts from the Tractatus to the Philosophical Investigations express their fundamentally religious nature by showing that there are powers which bear down upon and sustain us. Shields finds a religious view of the (...) world at the very heart of Wittgenstein's philosophy. "Shields argues that the appearance throughout Wittgenstein's writings of such concepts as ritual, limit, transgression, a change of will, pride, temptation, and judgment implies a relation between religion and the logical aspects of Wittgenstein's philosophy."-- Choice "Of the many recent books about Wittgenstein, Logic and Sin is one of the very few that are well worth having"--Fergus Kerr, Modern Theology "What Shields has uncovered in Wittgenstein's religious sensibility is something genuine and profound. . . . Shields has not just written an important book on Wittgenstein but an enlightening work that invites further reflection."--Eric O. Springsted, Cross Currents. (shrink)

The proposition that the existence of God is demonstrable by rational argument is doubted by nearly all philosophical opinion today and is thought by most Christian theologians to be incompatible with Christian faith. This book argues that, on the contrary, there are reasons of faith why in principle the existence of God should be thought rationally demonstrable and that it is worthwhile revisiting the theology of Thomas Aquinas to see why this is so. The book further suggests that philosophical objections (...) to proofs of God's existence rely upon an attenuated and impoverished conception of reason which theologians of all monotheistic traditions might wish to reject. Denys Turner proposes that on a broader and deeper conception of it, human rationality is open to the 'sacramental shape' of creation as such and in its exercise of rational proof of God it in some way participates in that sacramentality of all things. (shrink)

David Armstrong's book is a contribution to the philosophical discussion about possible worlds. Taking Wittgenstein's Tractatus as his point of departure, Professor Armstrong argues that nonactual possibilities and possible worlds are recombinations of actually existing elements, and as such are useful fictions. There is an extended criticism of the alternative-possible-worlds approach championed by the American philosopher David Lewis. This major work will be read with interest by a wide range of philosophers.