Symbols in Wittgenstein's Tractatus

This paper is concerned with the status of a symbol in Wittgenstein's Tractatus . It is claimed in the first section that a Tractarian symbol, whilst essentially a syntactic entity to be distinguished from the mark or sound that is its sign, bears its semantic significance only inessentially. In the second and third sections I pursue this point of exegesis through the Tractarian discussions of nonsense and the context principle respectively. The final section of the paper places the forgoing work in a secondary context, addressing in particular a debate regarding the realism of the Tractatus .     

The Disenchantment of Nonsense: Understanding Wittgenstein's Tractatus

This paper aims to argue against the resolute reading, and offer a correct way of reading Wittgenstein's Tractatus. According to the resolute reading, nonsense can neither say nor show anything. The Tractatus does not advance any theory of meaning, nor does it adopt the notion of using signs in contravention of logical syntax. Its sentences, except a few constituting the frame, are all nonsensical. Its aim is merely to liberate nonsense utterers from nonsense. I argue that these points are either not distinctive from standard interpretations or incorrect. Instead, the Tractarian elucidations help to shed light on the nature of language and logic, and introduce the correct method in philosophy. Philosophy deals with philosophical utterances and Tractarian elucidations by pointing out that they are nonsensical. By doing this, one is helped to see that what they appear to be saying is shown by significant propositions saying something else.     

The Philosopher's Baedeker: Wittgenstein's Tractatus as Guidebook

The Wittgenstein of the Tractatus is committed to four central and interlocking claims: a limit to sense and nonsense can be drawn in logic; a limit to meaningful and meaningless language – to meaningful and meaningless nonsense – cannot be drawn in logic; whether nonsense is meaningful is shown in its use rather than its form; the Tractatus consists largely of meaningful nonsense. Undergirding these commitments is an account of language‐to‐world picturing in which shared “mathematical multiplicities” play a key role. Picturing as a global phenomenon – language‐to‐world, rather than proposition‐to‐fact – has not been well understood. The Tractatus is not a textbook. No doctrines are developed in it. No problems solved. Instead, it is a kind of Baedeker, a guidebook for those who want “to see the world aright.”     

On the Unintelligibility of Wittgenstein's Tractatus

“Resolute” readings of Wittgenstein's Tractatus Logico‐Philosophicus maintain that the book is divided into two parts: an intelligible “frame” and an unintelligible “body.” This article questions the validity of the “frame/body distinction” and, by extension, the resolute reading itself. It first establishes the tenability of the resolute programme as entirely dependent upon such a frame/body distinction. It then explores three possible ways the claim that the Tractatus contains such a distinction might be grounded, arguing in each case why it cannot do so. It therefore concludes that the frame/body distinction is unjustified, and the resolute reading untenable.     

The Unity of Language and Logic in Wittgenstein's Tractatus

The purpose of this paper is to offer an interpretation of the Tractatus’ proof of the unity of logic and language. The kernel of the proof is the thesis that the sole logical constant is the general propositional form. I argue that the Grundgedanke, the existence of the sole fundamental operation N and the analyticity thesis, together with the fact that the operation NN can always be seen as having no specific formal difference between its result and its base, imply that NN is intrinsic to every elementary proposition. I also argue that the picture theory of proposition is an account of the generation of propositions via naming, and that its crucial idea is that naming is the instantiation of the form of a name, which consists in arbitrarily picking out an object as the meaning of the name from those objects sorted out by the form of the name. It follows that the existential quantifier, that is, NN, is intrinsic to naming (and therefore to every elementary proposition). It is then proven that the sole logical constant is the general propositional form. This, together with the truth‐functionality of logical necessity, implies that logic and language are unified via a general rule – logical syntax.     

意义的体系——维特根斯坦的《逻辑哲学论》与形式语义学

人们把一般形式语义学的起源追溯到弗雷格、塔尔斯基、蒙塔古和戴维森等哲学家。但是人们忽略了维特根斯坦的《逻辑哲学论》。维特根斯坦在这本著作中提出了一种特定的关于语言、意义和世界的看法,它牵涉到普遍论、内涵指称论和组合原则等重要的哲学假定,而这样的哲学假定也是形式语义学先驱的著作中所假定的。因此,维特根斯坦的意义理论对于形式语义学的基本原则和哲学假定的确立是至关重要的。斯托克霍夫教授的研究不是历史性的,而是系统地比较了维特根斯坦的意义理论和形式语义学的先驱的著作。     

Variable Names and Constant Names in Wittgenstein's Tractatus

In this paper, I argue that the Tractatus classifies names into constant names and variable names. A variable name, via the application of the existential quantifier against the background of picturing, picks out and denotes an unspecified object from the range of objects of the form shown by the relevant variable. A constant name labels an object picked out from a scope of the existential quantifier. I also refute two types of attempts to argue that the Tractarian relation between a name and its meaning is not realist, and to explain why it is more reasonable to hold that it is.     

Between Metaphysics and Nonsense: Elucidation in Wittgenstein's Tractatus

There are currently two readings of Tractatus , the metaphysical and the therapeutic. I argue that neither of these is satisfactory. I develop a third reading, the elucidatory reading. This shares the therapeutic interpretation's emphasis on the idea that Wittgenstein's remarks are intended to work on the reader, but instead of seeing these remarks as directed (problematically) at revealing their own nonsensical status, I take the remarks to be aimed at bringing a certain order to the reader's perception of language. The point of this order, and the only test of it, is that it enables the philosophical problems to disappear. In particular, it dispels philosophical puzzlement concerning the status of logic, the relation between language and the world, and the relation between thought and language.     

Instructions for Climbing the Ladder (The Minimalism of Wittgenstein's Tractatus)

I aim to present a solution to the apparent paradox of the Tractatus by means of a minimalist reading grounded in the idea that the correct logical symbolism alone “finally solves” in essentials the philosophical problems. I argue that although the sentences of the Tractatus are nonsensical, rules presented in its symbolism are not. The symbolism itself expresses only a priori rules of logic through schematic variables that do not say anything. I argue that this reading correctly expresses the ladder structure of the book, and that it can account for Wittgenstein's critique of the Tractatus in Some Remarks on Logical Form.     

Categorial Indeterminacy,Generality and Logical Form in Wittgenstein's Tractatus

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 why Wittgenstein 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.