A Note on Saying Nothing and Saying More in the Tractatus

On the basis of an analysis of the relevant parts of Tractatus logico-philosophicus, a definition of the property (of propositions) of saying something, and of the obviously correlated property of saying nothing, is given. By applying that definition, both tautologies and contradictions are sanctioned as saying nothing, as lacking sense, in full agreement with Wittgenstein's explicit statements. On the other hand, a recent systematic attempt by A. Negro to extract from the Tractatus a criterion for sense containment and a criterion for saying more, that is, for comparing the amount of sense of propositions, leads to the conclusion that the sense of any proposition is contained in the sense of a contradiction and that contradictions say more than any other propositions. The problem faced in this paper is that of restoring consistency between Negro's criteria, which on the whole give a correct interpretation of the text of the Tractatus, and Wittgenstein's thesis that, not only tautologies, but also contradictions say nothing.     

‘We Can't Whistle It Either’: Legend and Reality

Abstract: There is a famous quip of F.P. Ramsey's, which is my second epigraph. According to a widespread legend, the quip is a criticism of Wittgenstein's treatment in the Tractatus of what cannot be said. The remark is indeed Ramsey's, but he didn't mean what he is taken to mean in the legend. His quip, looked at in context, means something quite different. The legend is sometimes taken to provide support for a reading of the Tractatus according to which the nonsensical propositions of the book were intended to convey what cannot be said. But, since the legend has no basis in reality, it provides no evidence in favor of any such reading of the Tractatus. The quip has great interest if it is read in the context of Ramsey's discussion of generality; it is closely related to issues of importance in the development of Wittgenstein's thought.     

Kant,wittgenstein and the limits of logic

This paper has two purposes. (1) To justify the claim that there is an important distinction underlying the saying/showing distinction of the Tractatus; the distinction which Kant characterises as that between historical and rational knowledge. (2) To argue that it is because the Tractatus accepts Frege/Russell logic as a complete representation of all thought according to laws, that what is shown cannot be recognised as knowledge. This is done by interpolating Frege's logical innovations between the views of Kant and Wittgenstein on logic and mathematics.     

Non‐Analytic Logic

A logic focusing on the analytic a priori and explicitly rejecting the synthetic a priori ¹ developed in the early decades of the 20th century, largely through the efforts of the Logical Empiricists. This group was very influenced by Wittgenstein's early work Tractatus Logico‐Philosophicus. But Wittgenstein himself, later on, departed from the Tractatus in significant ways that the Logical Empiricists did not follow. Wittgenstein came later to accept the synthetic a priori, and out of this insight comes a non‐analytic logic that differs from standard 20th century logic in many distinct ways. This paper details these differences.     

The philosophy of science at the turn of the millenium

Abstract

Central to a new, or ‘resolute’, reading of Wittgenstein’s Tractatus LogicoPhilosophicus is the idea that Wittgenstein held there an ‘austere’ view of nonsense: the view, that is, that nonsense is only ever a matter of our failure to give words a meaning, and so that there are no logically distinct kinds of nonsense. Resolute readers tend not only to ascribe such a view to Wittgenstein, but also to subscribe to it themselves; and it is also a feature of some readings which in other respects are clearly not Resolute. This paper forms part of a reply to Hans-Johann Glock’s work in which he argues (in part) that Wittgenstein in the Tractatus held a view of nonsense other than the austere view. Instead, Glock argues, Wittgenstein there held that there are many logically distinct kinds of nonsense. Here, I outline and defend the austere view, together with its attribution to the early Wittgenstein, against a number of Glock’s criticisms, and focussing especially on Wittgenstein’s reformulation in the Tractatus of Frege’s context-principle.     

Propositions,Properties and Relations: Wittgenstein's “Notes on Logic” and the Tractatus

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.     

Nominalism and Realism. How Not to Read the Tractatus' Conception of a Name

This paper focuses on a central aspect of the “picture theory” in the Tractatus – the “identity requirement” – namely the idea that a proposition represents elements in reality as combined in the same way as its elements are combined. After introducing the Tractatus' views on the nature of the proposition, I engage with a “nominalist” interpretation, according to which the Tractatus holds that relations are not named in propositions. I claim that the nominalist account can only be maintained by rejecting the “identity requirement.” I then consider an opposite – “realist” – interpretation, according to which Tractarian names include names of properties and relations. I argue that, although it can accommodate the “identity requirement,” the realist interpretation falls short of providing a correct interpretation of the Tractatus' conception of a name. I conclude by presenting an alternative account (to both nominalism and realism) of the Tractatus' conception of a name.     

“Rethinking” the Preface of the Tractatus

This paper is principally a re‐evaluation of the meaning of Denken in the puzzling third paragraph of the Preface to Wittgenstein's Tractatus. It shows that there is a uniform misreading of this paragraph throughout the literature and suggests a corrected reading and some of its implications. The paper asserts that the influential “New Wittgenstein” reading of the Preface as containing Wittgenstein's all important “framing” thoughts on the Tractatus, is correct. However it also argues that the anti‐metaphysical reading the New view draws by way of its frame thesis is incorrect since it is still premised on the incorrect reading of the Preface's third paragraph. With the correct reading of the third paragraph, the paper shows the anti‐metaphysical reading of the Tractatus lacks substantive support.     

Wittgenstein and the naming relation

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.     

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.     

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.     

When Does Truth Matter? Spinoza on the Relation between Theology and Philosophy

One of the aims of Spinoza's Tractatus Theologico‐Politicus is to vindicate the view that philosophy and theology are separate forms of enquiry, neither of which has any authority over the other. However, many commentators have objected that this aspect of his project fails. Despite his protestations to the contrary, Spinoza implicitly gives epistemological precedence to philosophy. I argue that this objection misunderstands the nature of Spinoza's position and wrongly charges him with inconsistency. To show how he can coherently allow both that theology and philosophy employ independent epistemological standards, and that philosophy is epistemologically superior to theology, we need to step back from the immediate disputes to which the Tractatus is a response and examine a Ciceronian distinction on which Spinoza indirectly draws. As well as enabling us to vindicate Spinoza's position, it places his alleged naturalism in a new light and portrays philosophizing as a form of piety.     

The Tractatus on Logical Consequence

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.     

Showing,Analysis and the Truth-Functionality of Logical Necessity in Wittgenstein's Tractatus

This paper aims to explain how the Tractatus attempts to unifylogic by deriving the truth-functionality of logical necessityfrom the thesis that a proposition shows its sense. I first interpret the Tractarian notion of showing as the displaying ofwhat is intrinsic to an expression (or a symbol). Then I argue that, according to theTractatus, the thesis that a proposition shows its sense implies the determinacy of sense, the possibility of the complete elimination of non-primitive symbols, the analyticity thesis and the strong analyticity thesis. The picture theory emerges as what provides the only acceptable account of an elementary proposition, subject to the constraint that a proposition must show its sense. The picture theory and the analyticity thesis then entail the contingency thesis (that an elementary proposition is contingent) and the independence thesis (that elementary propositions are mutually logically independent) which, together with the strong analyticity thesis, imply that all logical propositions are tautologies.     

Law and eschatology in Wittgenstein's early thought

The paper investigates the role played by ethical deliberation and ethical judgment in Wittgenstein's early thought in the light of twentieth‐century German legal philosophy. In particular the theories of the phenomenologists Adolf Reinach, Wilhelm Schapp, and Gerhart Husserl are singled out, as resting on ontologies which are structurally similar to that of the Tractatus: in each case it is actual and possible Sachverhalte which constitute the prime ontological category. The study of the relationship between the states of affairs depicted, e.g., in the sentences of a legal trial and prior fact‐complexes to which these may correspond suggests one possible connecting link between the logical and ontological sections of the Tractatus and the ethical reflections appearing at the end. It is argued that the latter can best be understood in terms of the idea of a ‘last judgment’ (with its associated ethical rewards and punishments) which would relate to the world as a whole as a penal trial relates to individual complexes of facts.     

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 philosophy of logical wholism

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.The second half of the paper contains a negative assessment of the support the atomistic reading can glean from the texts of Tractatus and Notebooks. From a detailed look into a range of relevant textual and translational issues, we find little there to encourage that interpretation and much to discourage it.The paper closes on a preliminary consideration of one segment of the formal aspect of the Hintikkas' atomism, the idea that the analysis of Tractatus is the analysis of Russell or is, at worst, a near relative. Examination shows that Wittgenstein would have little reason to model his analysis on that of Russell. The fundamentally wholistic vision expressed in Tractatus requires a distinctively non-Russellian, decompositional version of analysis.Words are like a film on deep water Ludwig Wittgenstein Notebooks 1914–1916 A highly condensed version of the ideas here presented will appear in the article Hintikka's Tractatus in Proceedings of the XIVth International Wittgenstein Symposium, Wittgenstein Centenary Celebration, 1991.     

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.”     

Contingentism versus Necessitism: The Tractatus Standpoint

The paper provides an interpretation of section 2.013 of the Tractatus which casts light on the strategic role that that section plays in the early Wittgenstein’s version of the ontology of logical atomism. The far‐reaching consequences that the proposed interpretation has on the issue of the metaphysical nature of objects are spelled out, and the identification of Tractatus objects with phenomenal qualities, that is with phenomenal abstract universals, is shown to be fully consistent with those consequences. As a by‐product of the analysis, the standpoint of the Tractatus with respect to both contingentism and necessitism is clarified.     

The Origins of Wittgenstein's Imaginary Scenarios: Something Old, Something New

The imaginary scenarios that appear in nearly every work of the later Wittgenstein – ones involving laughing cattle, disembodied eyes that see, and the like – are decidedly absent from the Tractatus. What necessitated this change in methodology? A comparison of the Tractatus with the Philosophical Remarks, Wittgenstein's first major work after his return to philosophy, reveals that these devices are the product of something old and something new. The rationale for these devices is already present in the notion of a “propositional variable,” but Wittgenstein had little use for them until he rejected the phenomenological language and laconic style of the Tractatus.