In this article, I examine the ramified-type theory set out in the first edition of Russell and Whitehead's Principia Mathematica. My starting point is the ‘no loss of generality’ problem: Russell, in the Introduction (Russell, B. and Whitehead, A. N. 1910. Principia Mathematica, Volume I, 1st ed., Cambridge: Cambridge University Press, pp. 53–54), says that one can account for all propositional functions using predicative variables only, that is, dismissing non-predicative variables. That claim is not self-evident at all, hence a problem. (...) The purpose of this article is to clarify Russell's claim and to solve the ‘no loss of generality’ problem. I first remark that the hierarchy of propositional functions calls for a fine-grained conception of ramified types as propositional forms (‘ramif-types’). Then, comparing different important interpretations of Principia’s theory of types, I consider the question as to whether Principia allows for non-predicative propositional functions and variables thereof. I explain how the distinction between the formal system of the theory, on the one hand, and its realizations in different epistemic universes, on the other hand, makes it possible to give us a more satisfactory answer to that question than those given by previous commentators, and, as a consequence, to solve the ‘no loss of generality’ problem. The solution consists in a substitutional semantics for non-predicative variables and non-predicative complex terms, based on an epistemic understanding of the order component of ramified types. The rest of the article then develops that epistemic understanding, adding an original epistemic model theory to the formal system of types. This shows that the universality sought by Russell for logic does not preclude semantical considerations, contrary to what van Heijenoort and Hintikka have claimed. (shrink)

It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there (...) is only one ultimate ontological category. This, combined with Russell's reification of propositions, ensures that he must hold concepts and objects to be of the same logical and ontological type. In this paper I argue that, while Frege's treatment of the unity of the proposition has immediate advantages over Russell's, a deeper consideration of the philosophical underpinnings and metaphysical consequences of the two approaches reveals that Frege's supposed solution is, in fact, far from satisfactory. Russell's repudiation of the Fregean position in the Principles is, I contend, convincing and Russell's own position, despite its problems, conforms to a greater extent than Frege's with common sense and, furthermore, with certain ideas which are central to our understanding of the origins of the analytical tradition. (shrink)

In this paper I examine the conflicting ways in which Bertrand Russell and Hegel understand indexical expressions. For this purpose, I consider some books and articles written by Russell in different moments of his life, and the first chapter of Hegel’s Phenomenology of Spirit, book published in 1807. I try to show that Russell, even being a Hegel scholar, does not respond to his proposal about indexical expressions, but takes a position that keeps him trapped in a kind of self-deception (...) of sense-certainty. At the end, I suggest that the differences between Hegel and Russell in relation to indexical expressions can be explained by the fact that the ontologies adopted by both authors exclude each other. (shrink)

This article first surveys the established views on Wittgenstein's relation to analytic philosophy. Next it distinguishes among different ways of defining analytic philosophy—topical, doctrinal, methodological, stylistic, historical, and the idea that it is a family‐resemblance concept. It argues that while certain stylistic features are important, the historical and the family‐resemblance conceptions are the most auspicious, especially in combination. The answer to the title question is given in section 3. Contrary to currently popular “irrationalist” interpretations, Wittgenstein was an analytic philosopher in (...) all phases of his career, albeit an exceedingly exotic one whose style transcends the limits of academic philosophy in general. On the historical understanding he qualifies because he was influenced by and in turn influenced mainly analytic philosophers. On the family‐resemblance conception he qualifies both because he developed and employed logico‐linguistic analysis and because he initiated the linguistic turn and the distinction between philosophy and science that characterizes one important strand in analytic philosophy. (shrink)

In recent years, even some of its own practitioners have accused analytic philosophy of lacking historical awareness. My aim is to show that analytic philosophy and history are not such a mismatch after all. Against the objection that analytic philosophers have unduly ignored the past I argue that for the most part they only resist strong versions of historicism, and for good reasons. The history of philosophy is not the whole of philosophy, as extreme historicists maintain, nor is it indispensable (...) to substantive philosophizing, as mainline historicists have it, it is merely advantageous (pragmatic historicism). Against the objection that analytic histories of philosophy are inevitably anachronistic I argue that it is possible to approach past texts with a view to substantive issues and in a critical spirit (contrary to historicist relativism and to misguided interpretations of the principle of charity). Indeed, such an analytic approach makes not just for better philosophy but also for better history. (shrink)

Russell's philosophy is rightly described as a programme of reduction of mathematics to logic. Now the theory of geometry developed in 1903 does not fit this picture well, since it is deeply rooted in the purely synthetic projective approach, which conflicts with all the endeavours to reduce geometry to analytical geometry. The first goal of this paper is to present an overview of this conception. The second aim is more far-reaching. The fact that such a theory of geometry was sustained (...) by Russell compels us to question the meaning of logicism: how is it possible to reconcile Russell's global reductionist standpoint with his local defence of the specificities of geometry? * This paper was first presented at the conference ‘Qu'est ce que la géométrie aux époques modernes et contemporaines?’, organized by the Universität Köln and the Archives Poincaré. I would like to thank Philippe Nabonnand for having enlightened me about the issues relative to projective geometry. I would like also to thank Nicholas Griffin, Brice Halimi, Bernard Linsky, Marco Panza, Ivahn Smadja for their helpful discussions. Many thanks also to the two anonymous referees for their useful suggestions. CiteULike Connotea Del.icio.us What's this? (shrink)

James Levine has recently argued that there is a tension between Russell’s Moorean semantical framework and Russell’s Peano-inspired analytical practice. According to Levine, this discrepancy runs deep in Russell’s thought from 1900 to 1918, and underlies many of the doctrinal changes occurring during this period. In this paper, I suggest that, contrary to what Levine claims, there is no incompatibility between Moore’s theory of meaning and the idea of informative conceptual analysis. I show this by relating Moore’s view of meaning (...) to his Sidgwick-inspired criticism of the so-called naturalistic fallacy. I maintain that Moore’s semantical framework has a methodological intent: following Sidgwick, Moore wants to block any attempt to justify ethical principles through setting ad hoc conditions on the meaning of the terms involved. Thus, far from grounding philosophical knowledge on subjective intuitions, as Levine suggests, Moore’s framework would provide us with the means to make room for a discursive and dialectic conception of philosophical inquiry. (shrink)

This article is an attempt to present Gödel's discussion on concepts, from 1944 to the late 1970s, in particular relation to the thought of Frege and Russell. The discussion takes its point of departure from Gödel's claim in notes on Bernay's review of ?Russell's mathematical logic?. It then retraces the historical background of the notion of intension which both Russell and Gödel use, and offers some grounds for claiming that Gödel consistently considered logic as a free-type theory of concepts, called (...) intensions, considered as the denotations of predicate names. (shrink)

In the twentieth century, philosophy came to be dominated by the English-speaking world, first Britain and then the United States. Accompanying this development was an unprecedented professionalization and specialization of the discipline, the consequences of which are surveyed and evaluated in this article. The most general result has been a decline in philosophy's normative mission, which roughly corresponds to the increasing pursuit of philosophy in isolation from public life and especially other forms of inquiry, including ultimately its own history. This (...) is how the author explains the increasing tendency, over the past quarter-century, for philosophy to embrace the role of "underlaborer" for the special sciences. Indicative of this attitude is the long-term popularity of Thomas Kuhn's The Structure of Scientific Revolutions, which argues that fields reach maturity when they forget their past and focus on highly specialized problems. In conclusion, the author recalls the history of philosophy that, following Kuhn's advice, has caused us to forget, namely, the fate of Neo-Kantianism in the early twentieth century. Key Words: analytic philosophy • normative • positivism • pragmatism • professionalism • underlaborer. (shrink)

The problem, or cluster of problems, of the unity of the proposition, along with the cluster of problems that tend to go under the name of Bradley’s regress, has recently again become a going concern for philosophers, after having for some time been regarded as primarily of historical interest. In this paper, I distinguish between the different problems that tend to be brought up under the heading of the unity of the proposition, and between different related regress arguments. I present (...) my favored solutions to these problems. (shrink)

Although the Cambridge Professor of Mental Philosophy and Logic James Ward was once one of Britain's most highly regarded Psychologists and Philosophers, today his work is unjustly neglected. This is because his philosophy is frequently misrepresented as a reactionary anti-naturalistic idealist theism. In this article, I argue, first, that this reading is false, and that by viewing Ward through the lens of pragmatism we obtain a fresh interpretation of his work that highlights the scientific nature of his philosophy and his (...) original and promising theory of ‘evolutionary Kantianism’, with its applications to the philosophy of mind, epistemology, and metaphysics. Second, I show that reading Ward as a pragmatist provides us with (1) a more complex history of the reception of pragmatism at Cambridge at the turn of the twentieth century than the straightforwardly hostile one traditionally told; and (2) a more detailed understanding of the wide range of philosophical problems to which pragmatism was deemed at this time to have an appropriate application. (shrink)

O presente manual tem como intenção constituir um guia para uma disciplina introdutória de filosofia da linguagem. Foi elaborado a partir da leccionação da disciplina de Filosofia da Linguagem I na Faculdade de Letras da Universidade do Porto desde 2001. A disciplina de Filosofia da Linguagem I ocupa um semestre lectivo e proporciona aos estudantes o primeiro contacto sistemático com a área da filosofia da linguagem. Pretende-se que este manual ofereça aos estudantes os instrumentos necessários não apenas para acompanhar uma (...) iniciação ao campo da filosofia da linguagem mas também para o estudo e a investigação autónomos posteriores. Para isso é percorrido um trajecto que conduz das intuições pré-teóricas acerca de linguagem, de que todos dispomos, até um conhecimento disciplinar específico, histórico e temático, da filosofia da linguagem. Em termos práticos, são considerados como precedentes da disciplina de Filosofia da Linguagem I – mesmo se, pelo existem actualmente precedências em sentido estrito – as disciplinas de Lógica I e II e de Filosofia do Conhecimento I e II. Os programas dessas disciplinas nos últimos anos estiveram presentes por trás da elaboração do manual. (shrink)

Truth is one of the central subjects in philosophy. It is also one of the largest. Truth has been a topic of discussion in its own right for thousands of years. Moreover, a huge variety of issues in philosophy relate to truth, either by relying on theses about truth, or implying theses about truth.

This thesis seeks to understand the nature of and relation between science and philosophy articulated in the early work of the French philosopher Gilles Deleuze. It seeks to challenge the view that Deleuze’s metaphysical and metaphilosophical position is in important part an attempt to respond to twentieth century developments in the natural sciences, claiming that this is not a plausible interpretation of Deleuze’s early thought. The central problem identified with such readings is that they provide an insufficient explanation of the (...) nature of philosophy’s contribution to the encounter between philosophy and science that they discern in Deleuze’s work. The philosophical, as opposed to scientific, dimension of the position attributed to Deleuze remains obscure. In chapter 1, it is demonstrated that this question of philosophy’s contribution to intellectual life and of how to differentiate philosophy from the sciences is a live one in Deleuze’s early thought. An alternative, less anachronistic interpretation of the parameters of Deleuze’s early project is offered. The remaining chapters of the thesis examine the early Deleuze’s understanding of the divergence between philosophy and science. Chapter 2 gives an account of Deleuze’s metaphilosophy, alongside a reconstruction of his largely implicit early understanding of science. The divergent intellectual processes and motivating concerns that account for Deleuze’s understanding of the differentiation of science and philosophy are thus clarified. In chapter 3, Deleuze’s use of mathematical and physical concepts is examined. It is argued that these concepts are used metaphorically. In chapter 4, the association between modern science and the Deleuzian concept of immanence that has been proposed by some Deleuze scholars is examined and ultimately challenged. The thesis concludes with some reflections on the significance of Deleuze’s early work for contemporary debates concerning the future of continental philosophy and the nature of philosophy more generally. (shrink)

Despite the often false impression that the analytic philosophy as an anti-metaphysical movement has nothing to do with metaphysics, there can be found good reasons to grant the metaphysical dispositions of analytic philosophers, and thereby, to minimize the anti-metaphysical nature of analytic philosophy in its all phases. Since analytic philosophy is a historical movement the main nature of which developed through several stages, the very kinds of metaphysical dispositions within each one of its various stages can be easily portrayed. In (...) the meantime, logical realism as the early stage of analytic philosophy contains plenty of metaphysical dispositions. Undoubtedly, one cannot say that analytic philosophy in this period was not committed to metaphysical theses about the plurality of entities, the ultimate nature of reality and the logical structure of the world. In this paper, then, after giving a relatively complete explanation of the logical realism, we claimed that although logical realists rejected the traditional speculative metaphysics of their predecessors, they also replaced it by the metaphysics of logic that pursues the metaphysical aims, this time, by logical means. So, we portrayed this kind of metaphysics as Bolzano’s Semantic Platonism, Frege’s and Russell’s Pluralistic Platonism, Russell’s Pluralistic Atomism, and Wittgenstein’s logical atomism. (shrink)

Descriptions are phrases of the form ‘an F’, ‘the F’, ‘Fs’, ‘the Fs’ and NP's F (e.g. ‘John's mother’). They can be indefinite (e.g., ‘an F’ and ‘Fs’), definite (e.g. ‘the F’ and ‘the Fs’), singular (e.g., ‘an F’, ‘the F’) or plural (e.g., ‘the Fs’, ‘Fs’). In English plural indefinite descriptions lack an article and are for that reason also known as ‘bare plurals’. How to account for the semantics and pragmatics of descriptions has been one of the central (...) topics in philosophy for centuries. This entry focuses on the historical and contemporary philosophical debate about Bertrand Russell’s theory of descriptions and the theories that developed as responses to this theory. (shrink)

Internal relations are those relations that are intrinsic to the nature of one or more of the relata. They are a kind of essential relation, rather than an essential property. For example, an arc of a circle is internally related to the center of that circle in the sense that.

A final version of this paper is in press as: Bickhard, M. H.. The Dynamic Emergence of Representation. In H. Clapin, P. Staines, P. Slezak Representation in Mind: New Approaches to Mental Representation. Praeger.

The concept of empiricism evokes both a historical tradition and a set of philosophical theses. The theses are usually understood to have been developed by Locke, Berkeley, and Hume. But these figures did not use the term “empiricism,” and they did not see themselves as united by a shared epistemology into one school of thought. My dissertation analyzes the debate that elevated the concept of empiricism (and of an empiricist tradition) to prominence in English-language philosophy. -/- In the 1870s and (...) ’80s a lively debate about psychology emerged. Neo-Kantian idealists criticized the very idea that the mind can be studied scientifically. A group of philosopher-psychologists responded, often in Mind. They were among the first to call themselves “empiricists,” arguing that psychology could provide a scientific basis for philosophical progress. Idealists held that empirical psychology depended on premises developed by Locke, Berkeley, and Hume. These premises were allegedly absurd because they rendered ideas of extension, as well as other ideas crucial to natural science, unreal. Those who wanted to advance psychology towards becoming a legitimate science were forced to engage these philosophical attacks, while at the same time to develop empirical theories that could successfully explain some characteristics of experience. I show how James’s theory of space perception accomplished both tasks. -/- In developing this theory, James found he had to reject the Lockean notion that reality is associated with passively-registered sensations. James also abandoned Berkeley and Hume’s claim that ideas are ultimately derived from atomic sensations. Instead, James presented experimental evidence that sensation is a continuous stream. The mind must actively parse this stream if it is to gain a coherent representation of its environment. I argue that James’s stream-of-thought thesis served as a presupposition of his entire psychology. The thesis showed how the labor of investigating the mind could be divided between philosophers and scientists, and in a manner sensitive to the concerns of both. The stream thesis also provided a scientific basis for a new philosophical empiricism that, I argue, has a hidden legacy in the history of analytic philosophy. (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)

open journal of Philosophical Investigations (PI) is an international journal dedicated to the latest advancements in philosophy. The goal of this journal is to provide a platform for academicians all over the world to promote, share, and discuss various new issues and developments in different areas of philosophy. -/- All manuscripts to be prepared in English or Persian and are subject to a rigorous and fair peer-review process. Generally, accepted papers will appear online. The journal publishes papers including the following (...) fields: -/- · Analytic Philosophy · Ancient Greek and Roman Philosophy · Art Aesthetics · Comparative Philosophy West and Chinese · Eastern Philosophy . Islamic philosophy · Epistemology · Ethics · Hermeneutics · History of Religious Thought · History of Western Philosophy · Language Logic . (shrink)

Words have meaning. Sentences also have meaning, but their meaning is different in kind from any collection of the meanings of the words they contain. I discuss two puzzles related to this difference. The first is how the meanings of the parts of a sentence combine to give rise to a unified sentential meaning, as opposed to a mere collection of disparate meanings (UP1). The second is why the formal ontology of linguistic meaning changes when grammatical structure is built up (...) (UP2). For example, the meaning of a sentence is a proposition evaluable for truth and falsity. In contrast, a collection of the meanings of its parts does not constitute a proposition and is not evaluable for truth. These two puzzles are closely related, since change in formal ontology is the clearest sign of the unity of meaning. The most popular strategy for answering them is taking the meanings of the parts as abstractions from primitive sentence meanings. However, I argue that, given plausible psychological constraints, sentence meanings cannot be taken as explanatory primitives. Drawing on recent work in Generative Grammar and its philosophy, I suggest that the key to both unity questions is to distinguish strictly between lexical and grammatical meaning. The latter is irreducible and determines how lexical content is used in referential acts. I argue that these referential properties determine a formal ontology, which explains why and how formal ontology changes when grammatical structure is built up (UP2). As for UP1, I suggest that, strictly speaking, lexical meanings never combine. Instead, whenever grammar specifies a formal ontology for the lexical meanings entering a grammatical derivation, further lexical (or phrasal) meanings can only specify aspects of this recursive grammatical process. In this way, contemporary grammatical theory can be used to address old philosophical problems. (shrink)

An introduction to temporal parts theory. Most of us believe in spatial parts: hands are spatial parts of people, an electron is a spatial part of a hydrogen atom, the earth is a spatial part of the solar system. Why are these parts "spatial" parts? Because they are spatially smaller: the hand is spatially smaller than the person, the electron is spatially smaller than the atom, the earth is spatially smaller than the solar system. Temporal parts, then, are parts that (...) are temporally smaller. My current temporal part, "me-today", we might call it, is temporally smaller than me, since it exists today and only today. Temporal parts theory says that objects are made up of temporal as well as spatial parts. (shrink)

In the notoriously obscure “Gray’s Elegy Argument” (GEA) of “On Denoting”, Russell argues against the theory of denoting concepts which he had set out in his earlier work The Principles of Mathematics (PoM). Nathan Salmon has argued that the GEA is intended to demonstrate the falsity of the thesis that definite descriptions are singular terms, a view which he attributes to the Russell of PoM. In a similar vein, Peter Hylton has argued that we can make sense of the GEA (...) by attributing to the early Russell the principle of truth-value dependence. In this paper I argue that Russell was committed to neither of these positions. If Salmon and Hylton mischaracterise Russell’s position in PoM, then they also, I suggest, mischaracterise the GEA. I close, therefore, by suggesting how my account of the relation between the theory of denoting concepts and Russell’s position in “On Denoting” can guide our approach to the GEA. (shrink)