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- R. A. Young (2004). Wittgenstein's Tractatus Project as Philosophy of Information. Minds and Machines 14 (1):119-132.It is argued that the Tractatus Project of Logical Atomism, in which the world is conceived of as the totality of independent atomic facts, can usefully be understood by conceiving of each fact as a bit in logical space. Wittgenstein himself thinks in terms of logical space. His elementary propositions, which express atomic facts, are interpreted as tuples of co-ordinates which specify the location of a bit in logical space. He says that signs for elementary propositions are arrangements of names. Here, the names are understood as numerical symbols specifying coordinates. It is argued that, using this approach, the so-called colour-exclusion problem, which was Wittgensteins reason for abandoning the Tractatus, is in fact soluble. However, if logical space is a continuum then some coordinates will need to be expressed by numerical symbols that are infinite in size. How is this to be understood in Tractatus terms? It is shown that, in the Tractatus, Wittgenstein did recognise the possibility of infinite propositions and sentences expressing them. At first sight his approach to infinite sentences, and the approach of the present paper, seem to differ, but it is argued that the difference is superficial. Finally, we address the question of whether Logical Atomism is viable and this raises issues concerning its relationship to natural science.
Similar books and articles
Ineffability, method, and ontology, by G. Bergmann.--The glory and the misery of Ludwig Wittgenstein, by G. Bergmann.--Stenius on the Tractatus, by G. Bergmann.--Naming and saying, by W. Sellars.--The ontology of Wittgenstein's Tractatus, by E. D. Klemke.--Material properties in the Tractatus, by H. Hochberg.--Wittgenstein's pantheism: a new light on the ontology of the Tractatus, by N. Garver.--Science and metaphysics: a Wittgensteinian interpretation, by H. Petrie.--Wittgenstein on private languages, by C. L. Hardin.--Wittgenstein on private language, by N. Garver.--Wittgenstein and private languages, by W. Todd.--The private-language argument, by H.-N. Castañeda.--Wittgenstein on privacy, by J. W. Cook.--"Forms of life" in Wittgenstein's Philosophical investigations, by J. F. M. Hunter.--Privacy and language, by M. S. Gram.--On language games and forms of life, by F. Zabeeh.--Wittgenstein on meaning and use, by J. F. M. Hunter.--Wittgenstein on phenomenalism, skepticism, and criteria, by A. Oldenquist.--Tractarian reflections on saying and showing, by D. W. Stampe.--Wittgenstein and logical necessity, by B. Stroud.--Negation and generality, by H. Hochberg.--Facts, possibilities, and essences in the Tractatus, by H. Hochberg.--Arithmetic and propositional form in Wittgenstein's Tractatus, by H. Hochberg.--Selected bibliography (p. 543-546).
The present paper is one installment in a lengthy task, the replacement of atomistic interpretations of Wittgenstein's Tractatus by a wholistic interpretation on which the world-in-logical-space is not constructed out of objects but objects are abstracted from out of that space. Here, general arguments against atomism are directed toward a specific target, the four aspects of the atomistic reading of Tractatus given in the Hintikkas' Investigating Wittgenstein (Hintikka & Hintikka 1986). The aspects in question are called the semantical, metaphysical, epistemological and formal.What follows a précis of the Hintikkas' rendering of Wittgenstein's perspective is a characterization of the wholistic interpretation, comparing Wittgenstein's world and the transcendental conditions it sets upon possible notation to a blank page and the conditions it sets upon what is about to be written there. There will not be occasion to bring arguments against each plank in the atomist's platform or in support of each facet of wholism. But there is an extended treatment of the first two aspects — the semantical and metaphysical — which takes off from Wittgenstein's determination that, in his hands, logic must take care of itself.
P.M.S. Hacker has argued that there are numerous misconceptions in James Conant's account of Wittgenstein's views and of those of Carnap. I discuss only Hacker's treatment of Conant on logical syntax in the 'Tractatus'. I try to show that passages in the 'Tractatus' which Hacker takes to count strongly against Conant's view do no such thing, and that he himself has not explained how he can account for a significant passage which certainly appears to support Conant's reading.
P.M.S. Hacker has argued that there are numerous misconceptions in James Conant's account of Wittgenstein's views and of those of Carnap. I discuss only Hacker's treatment of Conant on logical syntax in the 'Tractatus'. I try to show that passages in the 'Tractatus' which Hacker takes to count strongly against Conant's view do no such thing, and that he himself has not explained how he can account for a significant passage which certainly appears to support Conant's reading.
The thesis of this paper is that the Tractatus and the Investigations can be related as follows. Wittgenstein attempted in the Tractatus to avoid the conceptual realism of Frege and Russell with respect to propositions. He solved his problem by developing the picture-theory of language. This solution assumed that the units of language are words which arc names of simple objects. Because of this assumption the solution has the undesirable consequence that examples oi genuine names, atomic facts and atomic propositions cannot be given although their existence is logically required by the solution. Wittgenstein had, therefore, eventually to examine the idea of a name. Thus the Philosophical Investigations in which this examination is conducted.
Frege famously argued that truth is not a property or relation. In the “Notes on Logic” Wittgenstein emphasised the bi-polarity of propositions which he called their sense. He argued that “propositions by virtue of sense cannot have predicates or relations.” This led to his fundamental thought that the logical constants do not represent predicates or relations. The idea, however, has wider ramifications than that. It is not just that propositions cannot have relations to other propositions but also that they cannot have relations to anything at all. The paper explores the consequences of this insight for the way in which we should read the Tractatus. In the “Notes on Logic” the insight led to Wittgenstein's emphasis on “facts” in any attempt to understand the nature of symbolism. This emphasis is continued in the Tractatus. It is central to his view that propositions are facts which picture facts which prevent us from construing such picturing as a relation between what pictures and what is pictured. It illuminates the importance of context principle with regard to the distinction between showing and saying to which Wittgenstein attached so much importance and it underlies the non-relational view of psychological propositions which he advocates. Finally, if propositions by virtue of sense cannot have predicates or relations the paradox at the end of a work which consist largely of propositions about propositions becomes intelligible.
Many commentators have attempted to say, more clearly than Wittgenstein did in his Tractatus logico-philosophicus, what sort of things the ‘simple objects’ spoken of in that book are. A minority approach, but in my view the correct one, is to reject all such attempts as misplaced. The Tractarian notion of an object is categorially indeterminate: in contrast with both Frege's and Russell's practice, it is not the logician's task to give a specific categorial account of the internal structure of elementary propositions or atomic facts, nor, correlatively, to give an account of the forms of simple objects. The few commentators who have hitherto maintained this view have mainly devoted themselves to establishing that this was Wittgenstein's intention, and do not much address the question whyWittgenstein held that it is not the logician's business to say what the objects are. The present paper means to fill this lacuna by placing this view in the context of the Tractatus's treatment of logic generally, and in particular by connecting it with Wittgenstein's treatment of generality and with his reaction to Russell's approach to logical form.
Wittgenstein initially endorsed but then abandoned, by the time of “Some Remarks on Logical Form”, the view that elementary propositions are logically independent. In this paper it is argued that the doctrine of logical independence is in fact inconsistent with the intuitions and examples that motivated the picture theory of the Tractatus Logico-Philosophicus. This leaves the question of whether the logical independence of elementary propositions can be reconciled with the theory itself; the paper explores some interpretations of the early Wittgenstein with which this is, and others with which it is not, consistent.
Abstract: I discuss the account of logical consequence advanced in Wittgenstein's Tractatus. I argue that the role that elementary propositions are meant to play in this account can be used to explain two remarkable features that Wittgenstein ascribes to them: that they are logically independent from one another and that their components refer to simple objects. I end with a proposal as to how to understand Wittgenstein's claim that all propositions can be analysed as truth functions of elementary propositions.
An article explicating Wittgenstein's logical atomism and surveying the relevant secondary literature.
Discussion of R. A. Young, Wittgenstein's tractatus project as philosophy of information
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