Unconfigured Tractarian Objects

According to the Tractatus , the world consists of atomic objects arranged in various configurations, and the ways the world might be are determined by the ways these objects can be configured. The question I address is whether these very objects can be unconfigured as well as configured. Much depends on a positive answer to this question, including, as I show, the internal coherence of the Tractatus itself. I argue that these objects can be unconfigured, and am critical of certain interpretive claims made by Fogelin which lead to the conclusion that they cannot be.     

Tractarian objects and logical categories

It has been much debated whether Tractarian objects are what Russell would have called particulars or whether they include also properties and relations. This paper claims that the debate is misguided: there is no logical category such that Wittgenstein intended the reader of the Tractatus to understand his objects either as providing examples of or as not providing examples of that category. This is not to say that Wittgenstein set himself against the very idea of a logical category: quite the contrary. However, where Russell presents his logical variety of particulars and the various types of universal, and Frege presents his of objects and the various types of function, Wittgenstein denies the propriety of such a priori expositions. Wittgenstein envisages a variety of logical types of entity but insists that the nature of these types is something to be discovered only through analysis. This research was conducted whilst holding a Jacobsen Research Fellowship at the University of London.     

A Parsons Tale: Tractarian Reflections on a Semantical Paradox

According to Charles Parsons, a liar sentence does not express a proposition at the level of its primary use but does at the level where it is subjected to semantic interpretation. Thus, richer ontological resources unavailable at the level of primary use are available at the level of interpretation. In response to the objection that the correct semantic interpretation of a liar sentence is thereby distorted, I explain how Wittgenstein’s repudiation of “logical objects” and the Tractarian notion of an intrinsically iterative operation show that the liar sentence’s primary use anticipates but does not presuppose the richer interpretive ontology.     

The Unity of a Tractarian Fact

It is not immediately clear from Wittgenstein’s Tractatus how to connect his idea there of an object with the logical ontologies of Frege and Russell. Toward clarification on this matter, this paper compares Russell’s and Wittgenstein’s versions of the thesis of an atomic fact that it is a complex composition. The claim arrived at is that whilst Russell (at times at least) has one particular of the elements of a fact – the relation – responsible for the unity of the whole, for Wittgenstein the unity of a fact is the product of copulative powers inherent in all its elements. All kinds of constituents of Tractarian facts – all kinds (forms) of object – are, to use Fregean terminology, unsaturated.     

The Logical Basis of the Tractarian Ontology

This paper focuses on the relation between logic and ontology. In particular, it demonstrates how classical logical theory can clarify the ontological part of Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. To this end, the work examines the adequacy of a formal system that was devised by the Polish logician, mathematician and philosopher Roman Suszko (1919–1979) as a model for the Tractatus. Following a brief explanation of the Tractarian ontology, the main ideas of Suszko’s system and its philosophical significance will be considered. The latter will be illustrated in the context of central Tractarian concepts. Finally, two implications for a better understanding of the Tractarian ontology will be pointed out.

The Tractarian Operation N and Expressive Completeness

The purpose of this paper is threefold. First, I visit the Fogelin–Geach-dispute, criticizeMiller's interpretation of the Geachian notationN(x:N(fx)) and conclude that Fogelin's argumentagainst the expressive completeness of the Tractariansystem of logic is unacceptable and that the adoptionof the Geachian notation N(x:fx) would not violate TLP5.32. Second, I prove that a system of quantificationtheory with finite domains and with N as the solefundamental operation is expressively complete. Lastly, I argue that the Tractarian system is apredicate-eliminated many-sorted theory (withoutidentity) with finite domains and with N as the solefundamental operation, and thus is expressivelycomplete.     

A Universe of Stories

The complete adoption of a narrative paradigm for therapy is proposed and its implications and possibilities spelled out, especially for life in a post-modern world that lacks any objective frame of reference. In the post-modern sensibility, the story is set free to perform as simply a story that allows for re-invention as the story-teller finds a voice rooted in the person's own experience and in the connection of her story to those of others, and to larger stories of culture and humanity. The realization that we are all characters in each other's stories as well as our own reminds us that our stories only go forward as we act in ways that also forward the stories of others. A hermeneutics for such therapy validates and questions all points of view so that they do not harden into stories that are assumed to be objectively true.     

Metaphysical Nihilism and Cosmological Arguments: Some Tractarian Comments

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.     

Projective Geometry in Logical Space: Rethinking Tractarian Thoughts

Customary interpretations state that Tractarian thoughts are pictures, and, a fortiori, facts. I argue that important difficulties are unavoidable if we assume this standard view, and I propose a reading of the concept taking advantage of an analogy that Wittgenstein introduces, namely, the analogy between thoughts and projective geometry. I claim that thoughts should be understood neither as pictures nor as facts, but as acts of geometric projection in logical space. The interpretation I propose thus removes the root of the identified difficulties. Moreover, it allows important clarification concerning some central aspects of the Tractarian theory of representation, and it yields a unifying elucidation regarding Wittgenstein’s remarks on the solipsistic thesis.     

The Universe

It is often said by philosophers that the term ‘the universe’ is illegitimate, whether because the notion of ‘all things’ is incoherent, or inconsistent, or cannot even be meaningfully expressed. The reasons may be drawn from metaphysics, or logic, or the philosophy of language, or the philosophy of mathematics. In this essay I argue that the term is legitimate, withstanding all criticisms, and that there is a single best meaning for it, which is that it is a semantically plural term standing equally for every existing object.

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