Statements of degree appear to falsify basic doctrines in Tractatus Logico-Philosophicus. I offer a fresh formulation of the challenge and assess a solution proposed on Wittgenstein’s behalf by Sarah Moss. I find that Moss’s proposal fails. The proposal rides in part on novel interpretations of pronouncements by Wittgenstein on the nature of the elementary proposition. I find that the interpretations cannot be sustained but that Moss’s textual case hints at important and overlooked features of the Tractarian program. I develop Wittgenstein’s (...) comparison of propositions to measuring instruments and apply it throughout, showing that it captures philosophical commitments in Tractatus that otherwise tend to slip from view. (shrink)

Wittgenstein’s atomist picture, as embodied in his Tractatus, is initially very appealing. However, it faces the famous colour-exclusion problem. In this paper, I shall explain when the atomist picture can be defended in the face of that problem; and, in the light of this, why the atomist picture should be rejected. I outline the atomist picture in Section 1. In Section 2, I present a very simple necessary and sufficient condition for the tenability of the atomist picture. The condition is: (...) logical space is a power of two. In Sections 3 and 4, I outline the colour-exclusion problem, and then show how the cardinality-condition supplies a response to exclusion problems. In Section 5, I explain how this amounts to a distillation of a proposal due to Moss, which goes back to Carruthers. And in Section 6, I show how all this vindicates Wittgenstein’s ultimate rejection of the atomist picture. The brief reason is that we have no guarantee that there are any solutions to a given exclusion problem but, if there are any, then there are far too many. (shrink)

This paper addresses the problem of providing a satisfying explanation of the Tractarian notions of state of affairs, fact and situation, an issue first raised by Frege and Russell. In order to do so, I first present what I consider to be the three main existing interpretations of these notions: the classic, the standard and Peter Simons’. I then present and defend an interpretation which is closer to the text than the classic and standard interpretations; one which is similar to (...) Peter Simons’ but which differs from it concerning one important point with respect to the nature of situations. Accordingly, the above mentioned should be seen as three wholly distinct categories. States of affairs are to be understood as Russellian complexes, facts as the subsistence and non-subsistence of states of affairs and situations as possibilities of the subsistence and possibilities of the non-subsistence of states of affairs. (shrink)

Traditional procedures for rational updating fail when it comes to self-locating opinions, such as your credences about where you are and what time it is. This paper develops an updating procedure for rational agents with self-locating beliefs. In short, I argue that rational updating can be factored into two steps. The first step uses information you recall from your previous self to form a hypothetical credence distribution, and the second step changes this hypothetical distribution to reflect information you have genuinely (...) learned as time has passed. While the second step resembles traditional procedures of updating by conditionalization, the first is best understood by analogy to traditional models of how agents transmit self-locating opinions through ordinary interpersonal communication. (shrink)

The German physicist Heinrich Hertz played a decisive role for Wittgenstein's use of a unique philosophical method. Wittgenstein applied this method successfully to critical problems in logic and mathematics throughout his life. Logical paradoxes and foundational problems including those of mathematics were seen as pseudo-problems requiring clarity instead of solution. In effect, Wittgenstein's controversial response to David Hilbert and Kurt Gödel was deeply influenced by Hertz and can only be fully understood when seen in this context. To comprehend the arguments (...) against the metamathematical programme, and to appreciate how profoundly the philosophical method employed actually shaped the content of Wittgenstein's philosophy, it is necessary to make an intellectual biographical reconstruction of their philosophical framework, tracing the Hertzian elements in the early as well as in the later writings. In order to write Wittgenstein's biography, we have to take seriously the coherence of his thought throughout his life, and not let convenient philosophical ideologies be our guidance in drawing up a “Wittgensteinian philosophy”. To do so, we have to take a second look upon what he actually wrote, not only in the already published material, but in the entire Nachlass. Clearly, this is not easily done, but it is a necessary task in the historical reconstruction of Wittgenstein's life and work. (shrink)

RESUMEN En este artículo trato de establecer que, según el Tractatus, la posibilidad de pensar que el espacio lógico fuera vacío es equivalente a la posibilidad de pensar que el mundo no hubiera existido. Tal representación viene dada por la última línea de una tabla de verdad que es una descripción completa del espacio lógico: es la línea en la que todas las proposiciones elementales son falsas. En primer lugar, argumentaré que una proposición elemental sería falsa -más que no tener (...) un valor de verdad- si fuera evaluada con respecto a un mundo posible en el que alguno de los objetos nombrados en esa proposición no existe. A continuación, tendré que mostrar que es posible que los objetos tractarianos no hubieran existido para poder concluir que es posible pensar que los objetos tractarianos no hubieran existido. Por último, estoy obligado a ofrecer una nueva interpretación del pasaje sobre la substancia.ABSTRACT In this paper I intend to establish that, according to the Tractatus, the possibility of thinking that the logical space were empty is equivalent to the possibility of thinking that the world had not existed. Such a representation is given by the bottom line of a truth-table which is a complete description of logical space: it is the line where all elementary propositions are false. Firstly, I will argue that an elementary proposition would be false -rather than lacking a truth-value- if it were evaluated with respect to a possible world in which some named object in that proposition does not exist. Then I will have to show that it is possible that the tractarian objects had not existed in order to conclude that it is possible to think that the tractarian objects had not existed. Finally, I am bound to offer a new interpretation of the substance passage. (shrink)

A contribution to a symposium on Herman Cappelen's Philosophy without Intuitions.

It is possible to pursue philosophy with a clarificatory end in mind. Doing philosophy in this mode neither reduces to simply engaging in therapy or theorizing. This paper defends the possibility of this distinctive kind of philosophical activity and gives an account of its product—non-theoretical insights—in an attempt to show that there exists a third, ‘live’ option for understanding what philosophy has to offer. It responds to criticisms leveled at elucidatory philosophy by defenders of extreme therapeutic readings and clearly demonstrates (...) that in rejecting the latter one cannot assume Wittgenstein’s approach to philosophy was theoretically based by default. (shrink)

The *Tractatus* contains an argument that there are simple, necessarily existent objects, which, being simple, are suited to be the referents of the names occuring in the final analysis of propositions. The argument is perplexing in its own right, but also for its invocation of the notion of "substance". I argue that if one locates Wittgenstein's conception of substance in the Kantian tradition to which his talk of "substance" alludes, what emerges is an argument that is very nearly--but not quite--cogent.

It is commonly held that Wittgenstein abandoned the Tractatus largely because of a problem concerning color incompatibility. My aim is to solve this problem on Wittgenstein’s behalf. First I introduce the central program of the Tractatus (§1) and the color incompatibility problem (§2). Then I solve the problem without abandoning any Tractarian ideas (§3), and show that given certain weak assumptions, the central program of the Tractatus can in fact be accomplished (§4). I conclude by distinguishing my system of analysis (...) from others and by explaining the historical underpinnings of my understanding of the nature of elementary propositions (§5). (shrink)

The paper presents an interpretation of the thinking behind the early Wittgenstein's "general form of the proposition." It argues that a central role is played by the assumption that all domains of discourse are governed by the same laws of logic. The interpretation is presented partly through a comparison with ideas presented recently by Michael Potter and Peter Sullivan; the paper argues that the above assumption explains more of the key characteristics of the "general form of the proposition" than Potter (...) and Sullivan suppose, including, in particular, its claim that the bases from which all other propositions are derived must be elementary propositions. (shrink)

In an influential article, Gerd Grasshoff has argued for the identification of the objects in Wittgenstein's Tractatus with the ultimate constituents of reality in Heinrich Hertz's Principles of Mechanics. Grasshoff's interpretation is based on two interrelated claims: The specific determination of the objects in the world and the relation among them is the primary theme in Wittgenstein's early philosophy, because it is the primary theme for Hertz. Wittgenstein did not assume the existence of simple objects on purely logical grounds without (...) having specific examples of simple objects in mind, because Hertz did not do this. (shrink)

It is generally considered the case that an authorial preface is an author’s opportunity to give the reader a hand in interpreting the work he or she is about to read. It is strange then that the Preface to Wittgenstein’s Tractatus (1922) has often been overlooked. Max Black’s (1964) influential A Companion toWittgenstein’sTractatus, for example, passes over the Preface in silence. And even in the latest published edition of the so-called Prototractatus (1996), the Preface is the only part that appears (...) in hand-written facsimile but is not reproduced in typescript form. Perhaps an argument for not so-reproducing the Preface of the Pro- totractatus in typescript is also an argument for the importance of the Preface: not one letter of this early hand-written text of the Preface is different from the final published edition (I will return to this later). Only of late has the Preface to the Tractatus been seen as having any kind of focal importance.This recent interest in the Preface has largely been spawned by Cora Diamond’s and James Conant’s “New” view of Wittgenstein. This New view (designated as such subsequent to the publication in 2000 of the volume entitled The New Wittgenstein) uses the Preface as a central interpretive tool that, according to this view, shows that the Tractatus takes “a strong anti-metaphysical stand” which is “most explicit in Wittgenstein’s statements in the book’s Preface and concluding remarks.1”The third and fourth paragraphs of the Preface are seen as especially revealing of Wittgenstein’s anti-metaphysical purpose. (shrink)

Tractatus Logico-Philosophicus (TLP) turns hundred years of its publication in the year 2021. The book has received several interpretations during this period of hundred years. However, in the last three decades, the interpretations of TLP have taken a very tenacious position with regard to the debates among scholars concerning whether there is any metaphysical significance in the text. The debates primarily offshoot in the rise of anti-metaphysical or often known as resolute reading that challenges the standard or metaphysical reading. The (...) present paper, however, goes beyond this debate between the resolute and standard reading of TLP. The paper aims at addressing various types of metaphysical reading(s) that has not been perhaps the centre of discussion because the resolute reading takes on only standard reading. Thus, the present paper attempts to show the variety of metaphysical interpretations of the text in some of the recent literatures. (shrink)

The aim of the paper is to argue that the ontological setting of objects in Wittgenstein’s Tractatus is a version of structural realism. According to our plan, one of the opening statements of the Tractatus – The world is the totality of facts, not of things – introduces structuralist perspective: structures are superior to their constituents. However, structuralists use the notion ‘superior’ in various senses, but this paper argues that the Tractatus places its objects within the framework of ontic structural (...) realism in its moderate form. That form puts structures and individuals on the same ontological footing. Such thesis contradicts traditional object-ontology that dominates Tractarian literature. (shrink)