This two-part paper reviews a scholarly debate on an alleged tension in Frege's philosophy of logic. In Section 1 of Part I, I discuss Frege's view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the tension the (...) view according to which logic is normative for thought seems to be incompatible with the idea that abiding by the laws of logic forms a precondition for thought. In Section 1 of Part II, I survey a number of interpretations of Frege's conception of logic that deal with this question. I show that they are for the most part either normative readings (emphasising the former understanding of the nature of logic) or constitutive readings (emphasising the latter). Finally, in Section 2, I adjudicate the debate and aim at reconciling the normative and the constitutive strands in Frege's conception of logic. (shrink)

This paper challenges a standard interpretation according to which Frege’s conception of logic (early and late) is at odds with the contemporary one, because on the latter’s view logic is formal, while on Frege’s view it is not, given that logic’s subject matter is reality’s most general features. I argue that Frege – in Begriffsschrift – retained the idea that logic is formal; Frege sees logic as providing the ‘logical cement’ that ties up together the contentful concepts of specific sciences, (...) not the most general truths. Finally, I discuss how Frege conceives of the application of Begriffsschrift, and of its status as a ‘lingua characteristica’. (shrink)

This two-part paper reviews a scholarly debate on an alleged tension in Frege ’s philosophy of logic. In Section 1 of Part I, I discuss Frege ’s view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the (...) tension the view according to which logic is normative for thought seems to be incompatible with the idea that abiding by the laws of logic forms a precondition for thought. In Section 1 of Part II, I survey a number of interpretations of Frege ’s conception of logic that deal with this question. I show that they are for the most part either normative readings or constitutive readings. Finally, in Section 2, I adjudicate the debate and aim at reconciling the normative and the constitutive strands in Frege ’s conception of logic. (shrink)

This paper addresses Frege's discussion of illogical thought in the introduction to Basic Laws of Arithmetic. After a brief introduction, I discuss Frege's claims that logic is normative vis-à-vis thought, and not descriptive, and his opposition to the idea that logical laws express psychological necessities. I argue that these two strands of Frege's polemic against psychologism constitute two motivating factors behind his allowing for the possibility of illogical thought. I then explore a line of thought—originally advanced by Joan Weiner—according to (...) which Frege should have rejected illogical thought as not constituting a genuine possibility. I argue that, once developed, this line of thought constitutes an important correction (moreover, one that is consistent with his two aforementioned anti-psychologistic strands) to Frege's own response to the possibility of illogical thought. -/- . (shrink)

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. (shrink)

In this article I engage with a recent debate vis-à-vis Kant’s conception of logic, which deals with whether Kant saw logical laws as normative for, or rather as constitutive of, the faculty of understanding. On the former view, logical laws provide norms for the correct exercise of the understanding; on the latter, they define the necessary structure of the faculty of understanding per se. I claim that these two positions are not mutually exclusive, as Kant held both a normative and (...) a constitutive conception of logic. I also sketch a parallelism between Kant’s conceptions of logic and of ethics: Kant’s twofold conception of logic parallels his view of moral laws as normative (for the human will) but constitutive (of a holy will). (shrink)

The aim of this paper is to discuss Wittgenstein's conception of truth in the Tractatus Logico-Philosophicus. Section 1 sets the scene by exploring how the notion of truth is in the Tractatus intertwined with notions such as sense and picture. In section 2 I discuss a traditional interpretation that sees the Tractatus as committed to truth as correspondence. In sections 3 and 4 I discuss two more recent alternative lines of interpretation; according to one, we should interpret truth in the (...) Tractatus as a relation of identity. According to the other, the Tractatus endorses a deflationary account of truth. I conclude in section 5 by adjudicating the interpretative debate. (shrink)

This paper investigates Wittgenstein’s account of the relation between elementary and molecular propositions (and thus, also, the propositions of logic) in the Tractatus Logico-Philosophicus. I start by sketching a natural reading of that relation – which I call the “bipartite reading” – holding that the Tractatus gives an account of elementary propositions, based on the so-called picture theory, and a different account of molecular ones, based on the principle of truth- functionality. I then show that such a reading cannot be (...) attributed to Wittgenstein, because he holds the view that an explanation of logical complexity is already given by a correct account of the (pictorial) nature of elementary propositions; this is implied in his claim that “an elementary proposition contains all logical constants/operations in itself”. After clarifying Wittgenstein’s notion of an operation from the Notes on Logic to the Tractatus, I finally explain why Wittgenstein claims that an elementary proposition contains all logical operations in itself, and hence why he can be said to provide a unified (and thus not bipartite) account of language and logic. (shrink)

This paper presents and discusses some recent interpretations of the form of Wittgenstein’s Tractatus. Borutti (2010) interprets the Tractatus as a sort of maze, where its propositions – far from leading to a single conclusion – represent different paths and (intersecting) ways of elucidating the essence of language and reality. Bazzocchi (2010), by contrast, describes the Tractatus as having a tree-like structure, its main propositions being the roots of the tree and the decimal ones branches and leaves, different levels of (...) comment on the main propositions. On the view advocated by Diamond and Conant (2010), the Tractatus has a ladder structure (where its propositions are rungs) through which it guides its reader to get rid of philosophical confusions. The paper finally briefly discusses how these readings deal with the question of Tractarian nonsense. (shrink)

This thesis discusses some central aspects of Wittgenstein's conception of language and logic in his Tractatus Logico-Philosophicus and brings them into relation with the philosophies of Frege and Russell. The main contention is that a fruitful way of understanding the Tractatus is to see it as responding to tensions in Frege's conception of logic and Russell's theory of judgement. In the thesis the philosophy of the Tractatus is presented as developing from these two strands of criticism and thus as the (...) culmination of the philosophy of logic and language developed in the early analytic period. Part one examines relevant features of Frege's philosophy of logic. Besides shedding light on Frege's philosophy in its own right, it aims at preparing the ground for a discussion of those aspects of the Tractatus' conception of logic which derive from Wittgenstein's critical response to Frege. Part two first presents Russell's early view on truth and judgement, before considering several variants of the multiple relation theory of judgement, devised in opposition to it. Part three discusses the development of Wittgenstein's conception of language and logic, beginning with Wittgenstein's criticism of the multiple relation theory and his early theory of sense, seen as containing the seeds of the picture theory of propositions presented in the Tractatus. I then consider the relation between Wittgenstein's pictorial conception of language and his conception of logic, arguing that Wittgenstein's understanding of sense in terms of bipolarity grounds his view of logical complexity and of the essence of logic as a whole. This view, I show, is free from the internal tensions that affect Frege's understanding of the nature of logic. (shrink)

In this paper I take the opportunity of the recent publication of Pieranna Garavaso’s and Nicla Vassallo’s Frege on Thinking and Its Epistemic Significance (with whose main tenets this paper is in constant dialogue) to provide an overview of some important components of Frege’s conception of logic. Section 1 discusses Frege’s view that the task of logic is to provide justification for what we think, and in sections 2 and 3 this idea is shown to play a central role in (...) his anti-psychologistic view that logic is normative for thinking. Section 4 offers a survey of Frege’s manifold conception of thinking. Finally, section 5 discusses the rela-tions between thinking and language in Frege’s philosophy. (shrink)

This paper examines an aspect of the debate between the so-called “traditional” and “resolute” (or “therapeutic”) interpretations of Wittgenstein’s Tractatus, by focusing on the notion of nonsense and on the role that the context principle plays for a correct interpretation of that notion. In the first section the author distinguishes between “substantial” and “austere” conceptions of Tractarian nonsense; in the second section it is discussed how the austere conception of nonsense – held by the resolute interpreters of Wittgenstein’s Tractatus – (...) derives from a literal reading of the context principle. In the third section, by concentrating on some sections of the Tractatus where the notion of nonsense in explicitly discussed, it is shown that such a literal interpretation of the context principle cannot be attributed to Wittgenstein. In the last section, by combining remarks on contextuality, meaning and nonsense, a reading aimed at reconciling the Tractatus’ view of nonsense and the context principle is sketched. (shrink)

This paper investigates Wittgenstein's "notorious" criticism of Russell's theory of judgment. Instead of advancing a further new interpretation of it, though, I analyze and discuss some of the most promising readings of the Russell/Wittgenstein dispute put forward in the secondary literature; I aim to show that, despite their alleged reciprocal opposition, they cohere with each other because they are, at bottom, different ways of highlighting the same question. I then connect Wittgenstein's criticism of Russell to the account of the nature (...) of the proposition presented in the Tractatus, arguing that the latter can be seen as a natural development of the former. Finally, I make a quick connection between Wittgenstein's criticism of Russell and the conception of the world as the totality of facts, as presented in the Tractatus. (shrink)

The Logical Alien. Conant and His Critics. By Miguens Sofia.. ISBN 9780674335905).