In this article, the author analyses the relationship between two prominent philosophers of the 20th century in Europe and Great Britain—Ludwig Wittgenstein and Bertrand Russell. According to a lot of correspondence available nowadays we can reconstruct not only the environment of thought in Cambridge in the beginning and the first half of the 20th century but to find out some very personal, subjective grounds for the changes of relationship between thinkers, misunderstandings between them. Such a kind of biographical-historical reconstruction does (...) not interfere but helps to understand better the origin, development, and criticism of philosophical ideas and theories. In this context, the personal relationship between Russell and Wittgenstein, their friendship for more than 30 years, and mutual assistance, both intellectual and business, played a big role in the development and formation of both philosophers as philosophers. Even mutual disagreements and criticism of ideas over time helped them to see the shortcomings and sometimes even complete failure of their theses and statements. First, the author describes in detail the role of Russell in Wittgenstein’s life: first meeting and inspiration to do philosophy, support in studies, assistance in the publication of Wittgenstein’s first book, support, and facilitation in returning to Cambridge in 1929, obtaining PhD degree and receiving Trinity College grant. Second, the author considers the fundamental points of philosophical disagreements between the two philosophers and Wittgenstein’s critique of Russell’s ideas. (shrink)

This article analyses in detail Wittgenstein’s ‘Cambridge period’ from his return to Cambridge in 1929 until his decease in 1951. Within the ‘Cambridge period’, scholars usually distinguish the ‘middle’ (1929–1936) and the ‘late’ (1936–1951) periods. The trigger point of Wittgenstein’s return to Cambridge and philosophy was his visit to Brouwer’s lecture on ‘Mathematics, Science, and Language’ in Vienna in March 1928. Dutch mathematician Brouwer influenced not only Wittgenstein’s ability to do philosophy again but also the development of some of his (...) ideas. Namely, for Brouwer, language was a natural development of the social history of human beings. With the help of his friends, F. P. Ramsey, J. M. Keynes, G. E. Moore, and B. Russell, in 1929 Wittgenstein returned to Cambridge. The author argues that this was the crucial turning point in his philosophy that led to the revision of some of his ideas. Wittgenstein returned from self-isolation in remote villages of Lower Austria to the intellectual academic environment, where he could discuss his ideas with intellectual interlocutors and receive their valuable remarks and comments. This article is organised in chronological order: it describes the very ‘early’ middle period of 1929–1935 involving the development of Wittgenstein’s ‘phenomenology’ and the origin of the ‘language-games’ concept in the Blue and Brown Books; 1935–1936 period of ‘romantic’ enthusiasm for Soviet Russia and a trip there; Wittgenstein’s life and work during the WWII-time; resign from teaching in Cambridge in 1947 to finally finish his Philosophical Investigations. The author suggests that the ‘romantic areal’ about the USSR was formed by Wittgenstein’s predilection for Russian poetry and literature of the nineteenth century, i.e., Tolstoy, Dostoevsky, and Pushkin. Analysing the development of Wittgenstein’s ideas on language in his Cambridge period, the author mentions the influence of N. Bakhtin and P. Sraffa. Also, the author touches upon the topic of the possibility of Marxism’s influence on Wittgenstein’s life and thought. (shrink)

EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

Philosophy strives to give us a firmer hold on our concepts. But what about their hold on us? Why place ourselves under the sway of a concept and grant it the authority to shape our thought and conduct? Another conceptualization would carry different implications. What makes one way of thinking better than another? This book develops a framework for concept appraisal. Its guiding idea is that to question the authority of concepts is to ask for reasons of a special kind: (...) reasons for concept use, which tell us which concepts to adopt, adhere to, or abandon, thereby shoring up—or undercutting—the reasons for action and belief that guide our deliberations. Traditionally, reasons for concept use have been sought either in timeless rational foundations or in concepts’ inherent virtues, such as precision and consistency. Against this, the book advances two main claims: that we find reasons for concept use in the conceptual needs we discover when we critically distance ourselves from a concept by viewing it from the autoethnographic stance; and that sometimes, concepts that conflict, or exhibit other vices such as vagueness or superficiality, are just what we need. By considering not what concepts are absolutely best, but what concepts we now need, we can reconcile ourselves to the contingency of our concepts, determine the proper place of efforts to tidy up thought, and adjudicate between competing conceptions of things—even things as contested as liberty or free will. A needs-based approach separates helpful clarification from hobbling tidy-mindedness, and authoritative definition from conceptual gerrymandering. (shrink)

One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conceptual rules, rules which allow the transformation of empirical descriptions. Mathematics should not be thought of as describing, in any substantive sense, (...) an abstract realm of eternal mathematical objects, as traditional platonists have thought. In Rules to Infinity, this view, which I call mathematical normativism, is updated with contemporary philosophical tools, and it is argued that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the platonistic idea that there exist abstract mathematical objects that explain such truths. Furthermore, Rules to Infinity defends a particular account of the distinction between scientific explanations that are in some sense distinctively mathematical – those that explain natural phenomena in some uniquely mathematical way – and those that are only standardly mathematical, and it lays out desiderata for any account of this distinction. Normativism is compared with other prominent views in the philosophy of mathematics such as neo-Fregeanism, fictionalism, conventionalism, and structuralism. Rules to Infinity serves as an entry point into debates at the forefront of philosophy of science and mathematics, and it defends novel positions in these debates. (shrink)

From 1901 till, at least, 1919, Russell persistently maintained that there are two kinds of logic, between which he sharply discriminated: mathematical logic and philosophical logic. In this paper, we discuss the concept of philosophical logic, as used by Russell. This was only a tentative program that Russell did not clarify in detail, so our task will be to make it explicit. We shall show that there are three (-and-a-half) kinds of Russellian philosophical logic: (i) “pure logic”; (ii) philosophical logic (...) investigating the logical forms of propositions; (iii) philosophical logic exploring the logical forms of facts: in epistemology; and in the external world. In particular, Russell’s program or philosophical logic of the facts of the external world remained less than sketchily outlined. We shall discuss it in some detail in the hope that it can start a new life. (shrink)

Wittgenstein composed five original musical fragments during his transitional middle period, in which he employs musical notation as a means by which to convey his philosophical thoughts. This is an overlooked aspect of the importance of aesthetics, and musical thinking in particular, in the development of Wittgenstein’s philosophy. We explain and evaluate the way the music interlinks with Wittgenstein’s philosophical thoughts. We show the direct relation of these musical examples as precursors to some of Wittgenstein’s most celebrated ideas (the push (...) beyond the inner/outer picture, the problem of rule-following, and aspect perception). We also show how important broad aesthetic notions such as style and composition concerning the very possibility of philosophizing were to Wittgenstein. (shrink)

In Pascal Boyer’s book Religion Explained inference systems are made to do a lot of work in his attempts to explain cognition in religion. These inference systems are systems in the brain that produces inferences when they are activated by things we perceive in our environment. According to Boyer they perceive things, produce explanations, and perform calculations. However, if Wittgenstein’s observation, that “only of a living human being and what resembles (behaves like) a living human being can one say: it (...) has sensations; it sees; is blind; hears; is deaf; is conscious or unconscious” is correct then it seems that Boyer’s talk of inference systems perceiving and inferring is confused. (shrink)

The third issue of the Journal for the Philosophy of Language, Mind and the Arts is centered on a series of questions related to the nature of images. What properties characterize them? Do they exist also in our minds? What relationship do they have with phenomena such as perception, memory, language and interpretation? The authors participating in this issue have been asked to answer these and other questions starting from and in dialogue with the two philosophical perspectives that have most (...) enriched the study of our object of research since the second half of the twentieth century: analytical philosophy and visual culture studies. The first four essays address problems related to ontology (Didi-Huberman, Prinz, Bantinaki, Manzotti). In their pages the question will be asked not only about the nature of images but also about what it means for an image to represent an object or an action realistically. The second part contains discussions related to the topics of perception, appreciation and creation of pictures (Ferretti; Gavaler, Goldberg; Pigoni, Coraci, Carlenzi). The third section goes through the problems related to the very concept of representing by images (Biggs; Weichert; Derby). The last section of the issue is devoted to two cases in which images are used not so much and not only to represent something, but also to convey ethical-political values (Fasnacht; Olesiejuk). (shrink)

Once upon a time, logical conventionalism was the most popular philosophical theory of logic. It was heavily favored by empiricists, logical positivists, and naturalists. According to logical conventionalism, linguistic conventions explain logical truth, validity, and modality. And conventions themselves are merely syntactic rules of language use, including inference rules. Logical conventionalism promised to eliminate mystery from the philosophy of logic by showing that both the metaphysics and epistemology of logic fit into a scientific picture of reality. For naturalists of all (...) stripes, this was paradise. Alas, paradise was lost. By the end of the twentieth century, logical conventionalism had been almost universally abandoned. But more recently, it has been revitalized. This chapter provides an overview of logical conventionalism and its history, clears away misunderstandings, and briefly responds to both the canonical objections to conventionalism (from Quine, Dummett, Boghossian, and many others) as well as new objections (from Field and Golan). From paradise lost, to paradise regained: logical conventionalism is back. (shrink)

In one of his meetings with members of the Vienna Circle, Wittgenstein discusses Hermann Weyl’s brief conversion to intuitionism and criticizes his arguments against applying the law of the excluded middle to generalizations over the natural numbers. Like Weyl, however, Wittgenstein rejects the classical model theoretic conception of generality when it comes to infinite domains. Nonetheless, he disagrees with him about the reasons for doing so. This paper provides an account of Wittgenstein’s criticism of Weyl that is based on his (...) differing understanding of what a general statement over infinite domains consists in. This difference in their conception of generality is argued to be central to the middle Wittgenstein’s overall stance on intuitionism as well. While Weyl (and other intuitionists) reject the law of the excluded middle on grounds of constructivity, Wittgenstein argues that general statements over infinite domains do not express propositions in the first place. The origin of this position as well as its consequences for contemporary debates on generality are further assessed. (shrink)

Cosmos+Taxis published a special issue with a symposium discussing Robert Vinten's book Wittgenstein and the Social Sciences. The symposium was edited by Richard Eldridge and it contains contributions from Paul Roth (Distinguished Professor, UC Santa Cruz), Daniel Little (Professor, University of Michigan, Dearborn), Rafael Azize (Associate Professor, Federal University of Bahia), Richard Raatzsch (Professor, EBS Universität), and Rupert Read (Associate Professor, UEA) - with a response by Robert Vinten ('Response to Critics'). Within the issue the papers compare Wittgenstein's philosophy to (...) art, compare Wittgenstein to Brecht, and examine the nature of the social sciences. (shrink)

This is an updated version of an essay originally written for a special issue of Philosophical Topics on the links between Kant and analytic philosophy. It explores these links by focusing on: Wittgenstein’s Tractatus; the logical positivism endorsed by Ayer; and the (very different) variation on that theme endorsed by Quine. The claim defended is that in all three cases we see analytic philosophers trying to attain and express a general philosophical understanding of why the bounds of sense should be (...) drawn where they should—but thereby confronting the aporia, which Kant too confronted, that it is impossible to do this without transgressing those very bounds. The paper closes by suggesting that the problem is in trying to attain and express such an understanding; in other words, that such an understanding is attainable, but not expressible. (shrink)

This paper investigates a particular philosophical puzzle via an examination of its status in the writings of Wittgenstein. The puzzle concerns negation and can take on three interrelated guises. The first puzzle is how not-p can so much as negate p at all – for if p is not the case, then nothing corresponds to p. The second puzzle is how not-p can so much as negate p at all when not-p rejects p not as false but as unintelligible – (...) for if p is unintelligible, then p is nothing but scratches and sounds and does not seem apt for negation. And the third puzzle is how “not” could be anything but hopelessly equivocal if it sometimes (per the first puzzle) requires, and sometimes (per the second puzzle) precludes the intelligibility of p. The paper investigates these three puzzles, their respective structures, and their relations to each other. The second puzzle is expounded as the centre of gravity, and in countering two objections to the threefold puzzle, a special predicament is expounded with regard to the second puzzle’s concern with unipolar propositions – propositions that do not admit of an intelligible negation. The text concludes by indicating the first steps that could potentially lead us out of the threefold puzzle. (shrink)

Inspired by the work of Sellars, Cumpa (2014, 2018) and Buonomo (2021) have argued that we can evaluate our metaphysical proposals on fundamental categories in terms of their capacity for reconciling the scientific and the manifest image of the world. This criterion of fundamentality would allow us to settle the question of which categories among those proposed in the debate—e.g., substance, structure or facts—have a better explanatory value. The aim of this essay is to argue against a central assumption of (...) the criterion: semantic descriptivism. Specifically, I aim at showing that the criterion rests on the idea that the manifest picture is mostly a description of the world, and thus, it commits us with certain realism. Instead, I argue that at least some of the vocabulary we use to construct our manifest picture of the world, mental vocabulary, is evaluative rather than descriptive and thus creates problems in reconcile the manifest picture with scientific psychology and neurosciences. I conclude with some remarks on alternatives that could provide a way out of the fundamentality criterion. (shrink)

Analytic philosophy is a philosophical tradition dominating Anglo-American philosophy, which emerged with clear features at the beginning of the twentieth century, and had its roots in the nineteenth century and before, and is still strong until now. It in essence is an interest in analysis, language, science, logic, and a systematic rather than a historical approach to philosophical problems. This article aims to understand the concepts of analysis and the analytical method, explain the origins of analytic philosophy, and its development (...) into various movements, and reveal some of its contributions to the philosophy of language, logic, the philosophy of science, the philosophy of mind, and moral and political philosophy. I will rely on analytic method in some of its forms. (shrink)

Since the publication of the Remarks on the Foundations of Mathematics, Wittgenstein’s interpreters have endeavored to reconcile his general constructivist/anti-realist attitude towards mathematics with his confessed anti-revisionary philosophy. In this article, the author revisits the issue and presents a solution. The basic idea consists in exploring the fact that the so-called “non-constructive results” could be interpreted so that they do not appear non-constructive at all. The author substantiates this solution by showing how the translation of mathematical results, given by the (...) possibility of translation between logics, can be seen as a tool for partially implementing the solution Wittgenstein had in mind. (shrink)

Throughout his whole work, Wittgenstein seizes on a distinction between logical and physical possibility, and impossibility. Despite this continuity and although, Wittgenstein brings in this distinction in various contexts and from different vantage points, he often solely brushes over it without elaborating in detail. In the so-called Big Typescript, however, he dedicates himself not only to the distinction between logical and physical possibility but also to the distinction between logical possibility and impossibility in particular investigations. In the course of these (...) investigations, another aspect arises and is tossed and turned repeatedly by Wittgenstein – namely, the place of “imaginability” in these considerations. On the basis of three focussed chapters in the Big Typescript, I argue that “imaginability” as an utterance of the form “being able to imagine ‘what it would be like’” can be allocated the place of a criterion for logical possibility. To this end, I will first outline the chapters 96., 27. and 26. in one section each. Although in these chapters, Wittgenstein only indicates rather than claiming explicitly “imaginability” to be a criterion for logical possibility, I will discuss in the last section how this conclusion can be drawn by combining the results of the previous sections. (shrink)

Social and political concepts are indispensable yet historically and culturally variable in a way that poses a challenge: how can we reconcile confident commitment to them with awareness of their contingency? In this article, we argue that available responses to this problem—Foundationalism, Ironism, and Right Wittgensteinianism—are unsatisfactory. Instead, we draw on the work of Bernard Williams to tease out and develop a Left Wittgensteinian response. In present-day pluralistic and historically self-conscious societies, mere confidence in our concepts is not enough. For (...) modern individuals who are ineluctably aware of conceptual change, engaged concept-use requires reasonable confidence, and in the absence of rational foundations, the possibility of reasonable confidence is tied to the possibility of critically discriminating between conceptual practices worth endorsing and those worth rejecting. We show that Left Wittgensteinianism offers such a basis for critical discrimination through point-based explanations of conceptual practices which relate them to the needs of concept-users. We end by considering how Left Wittgensteinianism guides our understanding of how conceptual practices can be revised in the face of new needs. (shrink)

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

There is a line of thought, neglected in recent philosophy, according to which a priori knowable truths such as those of logic and mathematics have their special epistemic status in virtue of a certain tight connection between their meaning and their truth. Historical associations notwithstanding, this view does not mandate any kind of problematic deflationism about meaning, modality or essence. On the contrary, we should be upfront about it being a highly debatable metaphysical idea, while nonetheless insisting that it be (...) given due consideration. From this standpoint, I suggest that the Finean distinction between essence and modality allows us to refine the view. While liberal about meaning, modality and essence, the view is not without bite: it is reasonable to suppose that it is able to ward off philosophical confusions stemming from the undue assimilation of a priori to empirical knowledge. (shrink)

The current debate concerning musical profundity was instigated, and set up by Peter Kivy in his book Music Alone (1990) as part of his comprehensive defense of enhanced formalism, a position he championed vigorously throughout his entire career. Kivy’s view of music led him to maintain utter skepticism regarding musical profundity. The scholarly debate that ensued centers on the question whether or not (at least some) music can be profound. In this study I would like to take the opportunity to (...) relate Wittgenstein’s ideas on music to this current debate, thereby achieving a twofold goal: not only to reintroduce Wittgenstein’s ideas into the current debate, but also to use the current debate as a foil to better appreciating Wittgenstein’s otherness as a philosopher of music. I argue that Wittgenstein’s unique philosophical response to the Romantic framing of the discourse concerning musical profundity —specifically, its threefold emphasis on the specificity, aboutness, and artistically exalted status of music— occasioned a view, which was bound to be glossed over by a philosophical tradition, whose origins had made it inimical to Wittgenstein’s original philosophical insights. I conclude that, in a sense, Wittgenstein occasions a paradigm shift by his philosophical thrust to undo the gravitational forces which form the current debate: the very idea of aboutness pertaining to music, and the very idea that a clear line could ever be drawn between music and language. (shrink)

SUMMARY Major theories of philosophical psychology and philosophy of mind are examined on the basis of the fundamental questions of ontology, metaphysics, epistemology, semantics and logic. The result is the choice between language of eliminative reductionism and dualism, neither of which answers properly the relation between mind and body. In the search for a non–dualistic and non–reductive language, Wittgenstein’s notion of language–games as the representative links between language and the world is considered together with Peirce’s semeiosis of cognition. The result (...) is a redefined notion of cognition as the goal–oriented ability to instantiate strategies from the rules of the language–games. Cognition is considered within the four-dimensional languagegames: rules/strategies, primitive/complete language-games, family-resemblances/forms of life, and non-temporal continuum as the language-games’ modality. Cognition is seen as a continuum process of non–individualized elements that unites perception, volition, emotion, will and thought against the commonly accepted understandings of cognition in exclusive terms of perception and thinking. The alternative to the mind/body problem is the continuity of cognition where rules and strategies, syntax and semantics, are considered inseparable within language–games. This continuity of cognition is explained in terms of virtual (univocal) identity, replacing the old philosophical paradigm of the mind/body problem. -/- SOMMARIO Le teorie maggiori della psicologia filosofica e filosofia della mente sono esaminate a partire dalle questioni fondamentali di ontologia, metafisica, epistemologia, semantica e logica. Il risultato è la scelta tra un linguaggio riduzionista eliminativo e un dualismo che però non confronta in modo adeguato la relazione tra mente e corpo. Nella ricerca per un linguaggio non-dualistico e non-riduttivo, viene considerata la nozione del gioco linguistico di Wittgenstein come un legame rappresentativo tra il linguaggio e il mondo insieme con la semiosi cognitiva di Peirce. Il risultato è la nozione ridefinita della cognizione come abilità goal-orientata di creare le strategie dalle regole dei giochi linguistici. La cognizione è considerata entro le quattro dimensioni dei giochi linguistici: regole/strategie, giochi linguistici primitivi/completi, somiglianze di famiglia/forme di vita, e la continuità atemporale come la modalità dei giochi linguistici. La cognizione diventa un processo continuo degli elementi non-individualizzati che tende ad unificare la percezione, volizione, emozione, la volontà e il pensiero contro un concetto generalmente accettato di vedere la cognizione nei termini esclusivamente di percezione e di pensiero. L’alternativa al problema della mente/corpo è la continuità della cognizione, dove le regole e le strategie, la sintassi e la semantica, sono considerate inseparabili nei giochi linguistici. Questa continuità della cognizione è spiegata nei termini dell’identità virtuale (univoca) sostituendo un paradigma filosofico previo del problema della mente/corpo. (shrink)

In this essay I argue the extent to which meaning and judgment in aesthetics figures in Wittgenstein’s later conception of language, particularly in his conception of how philosophy might go about explaining the ordinary functioning of language. Following a review of some biographical and textual matters concerning Wittgenstein’s life with music, I outline the connection among (1) Wittgenstein’s discussions of philosophical clarity or perspicuity, (2) our attempts to give clarity to our aesthetic experiences by wording them, and (3) the clarifying (...) experience of the dawning of an aspect, which Wittgenstein pictures as the perception of an internal relation. By examining Wittgenstein’s use of “internal relation” from the Tractatus to his later writings, I come to challenge the still prevalent understanding of Wittgenstein’s appeals to grammar as an appeal to something given (e.g., to a set of grammatical rules). Instead, as I argue, Wittgensteinian appeals to grammatical criteria should be understood as modeled by the form of justification found in our conversations about art. (shrink)

This article provides a survey of Wittgenstein’s remarks in which he discusses various kinds of technology. I argue that throughout his career, his use of technological examples displays a thematic unity: technologies are invoked in order to illustrate a certain mechanical conception of the mind. I trace how his use of such examples evolved as his views on the mind and on meaning changed. I also discuss an important and somewhat radical anti-mechanistic strain in his later thought and suggest that (...) Wittgenstein’s attitude to mechanistic explanations in psychology was ultimately quite ambivalent. (shrink)

This paper offers an interpretation of the later Wittgenstein's handling of the idea of an "essence of human language", and examines in particular his treatment of the 'Augustinean' vision of reference as constituting this "essence". A central theme of the interpretation is the perennial philosophical desire to impose upon linguistic meaning conceptual templates drawn from outside the forms of thought about meaning in which we engage when we exercise our capacity to speak and understand a language. The paper closes with (...) a consideration of ways in which Donald Davidson's generally congenial work on interpretation may diverge from Wittgenstein's thinking in this vicinity. (shrink)

Our commonsense notion of reality is supported by two critical assumptions for which we have little understanding: The conscious experience which underpins the observations integral to the scientific method and language, which is the method by which all theories, scientific or otherwise, are communicated. This book examines both of these matters in detail and arrives at a new theoretical foundation for understanding how nature undertakes the task of building the universe. -/- Creating Reality is a synthesis of Darwin’s The Origin (...) of Species and Douglas Hofstadter’s Gödel, Escher, Bach (GEB). It is an intellectual journey that addresses the most profound questions facing science and philosophy today and delivers the greatest transformation in the way we view the world since Darwin’s masterpiece. The book is targeted at anyone up for the cerebral challenge of thinking deeply about how we make sense of the world and our existence. The book is thoroughly researched and referenced, drawing from the most highly credential sources. -/- When we take stock of where we are in our understanding of nature, it seems that three important questions stand out for which we have few answers. More than just questions, they represent gaps in our comprehension of what makes the universe tick. These are the thematic focal points of this book: -/- • What is the nature of belief? (An examination of truth as a function of language). • What is consciousness? • What is the relationship between mathematics and the physical world? -/- The exploration of these three questions unravels the mystery behind the principal means by which we come to have knowledge of the world. So our journey begins by asking the more generic question: How do we come to know the world? The book makes no assumptions about this thing called ‘reality’ and takes a fresh look at the presuppositions underlying commonsense notions of reality. (shrink)

Two Conceptions of Wittgenstein's Contextualism How should we understand Wittgenstein's proposals that "the meaning of a word is its use in the language" and that a name only has a meaning in a language-game? Are they incompatible with occasion-invariant semantics? In this paper I present two leading interpretations of Wittgenstein's contextualism: James Conant's meaning-eliminativism and Charles Travis's meaning-underdetermination. I argue that, even though these two interpretations are very similar, the latter gives a more nuanced account of Wittgenstein's contextualism which does (...) not involve a commitment to the claim that words have no meaning outside immediate contexts of use. (shrink)

The influence of Spengler on Wittgenstein's philosophical development is considered. The point of interest is in a significant methodological restructuring which it appears to have produced. After an initial over-enthusiastic reception, Wittgenstein is seen to object on some points which he attempted to emend in his own philosophy. Spengler's name disappeared inreworked manuscripts but traces persist in the Philosophical Investigations and an important section (§89-133) is found to be connected with it.

Wittgenstein did not claim that the ordinary language concept ‘game’ cannot be defined: he claimed that there are multiple definitions that can be adopted for special purposes, but no single definition applicable to all games. I will defend this interpretation of Wittgenstein’s position by showing its compatibility with a pragmatic argumentative view of definitions, and how this view accounts for the diversity of disagreeing game definitions in definitional disputes.

This paper reexamines Kierkegaard's work with respect to the question whether truth is one or many. I argue that his famous distinction between objective and subjective truth is grounded in a unitary conception of truth as such: truth as self-coincidence. By explaining his use in this context of the term ‘redoubling’ [Fordoblelse], I show how Kierkegaard can intelligibly maintain that truth is neither one nor many, neither a simple unity nor a complex multiplicity. I further show how these points shed (...) much-needed light on the relationship between objective and subjective truth, conceived not as different kinds or species of truth but as different ways in which truth manifests itself as a standard of success across different contexts of inquiry. (shrink)

Amie Thomasson and Eli Hirsch have both attempted to deflate metaphysics, by combining Carnapian ideas with an appeal to ordinary language. My main aim in this paper is to critique such deflationary appeals to ordinary language. Focussing on Thomasson, I draw two very general conclusions. First: ordinary language is a wildly complicated phenomenon. Its implicit ontological commitments can only be tackled by invoking a context principle; but this will mean that ordinary language ontology is not a trivial enterprise. Second: ordinary (...) language often points in different directions simultaneously, so that a wide variety of existence questions cannot be deflated merely by appealing to ordinary language. (shrink)

In this note I present a solution to Kripkenstein’s paradox, based on a very simple argument: (1) natural language and rule-following are empirical phenomena; (2) no case has been described, in real life, of a person who behaves as Wittgenstein’s or Kripke’s fictional character; (3) therefore, the discussion of such a case is completely devoid of interest. I lay out the example of a ‘Kripkensteinian apple’, which has a normal weight on even days and is weightless on odd days, in (...) order to highlight the contrast between a genuinely empirical perspective, such as that of physics, and the logical-analytical perspective, under which Kripkenstein’s paradox has attracted so much attention. (shrink)

Linguistic expressions must be decrypted if they are to transmit information. Thoughts need not be decrypted if they are to transmit information. Therefore thought-processes do not consist of linguistic expressions: thought is not linguistic. A consequence is that thought is not computational, given that a computation is the operationalization of a function that assigns one expression to some other expression (or sequence of expressions).

We argue that all general concepts are family resemblance concepts. These include concepts introduced by ostension, such as colour. Concepts of colour and of each of the specific colours are family resemblance concepts because similarities concerning an open-ended range of colour or of appearance features crop up and disappear. After discussing the notion of “same colour” and Wittgenstein's use of the phrase “our colours”, we suggest family resemblance concepts in one tradition can often be extended to family resemblance concepts in (...) another tradition, illustrated by Wittgenstein's use of the words Spiel and “game”. (shrink)

In “Truth by Convention” W.V. Quine gave an influential argument against logical conventionalism. Even today his argument is often taken to decisively refute logical conventionalism. Here I break Quine’s arguments into two— the super-task argument and the regress argument—and argue that while these arguments together refute implausible explicit versions of conventionalism, they cannot be successfully mounted against a more plausible implicit version of conventionalism. Unlike some of his modern followers, Quine himself recognized this, but argued that implicit conventionalism was explanatorily (...) idle. Against this I show that pace Quine’s claim that implicit conventionalism has no content beyond the claim that logic is firmly accepted, implicit rules of inference can be used to distinguish the firmly accepted from the conventional. As part of my case, I argue that positing syntactic rules of inference as part of our linguistic competence follows from the same methodology that leads contemporary linguists and cognitive scientists to posit rules of phonology, morphology, and grammar. The upshot of my discussion is a diagnosis of the fallacy in Quine’s master critique of logical conventionalism and a re-opening of possibilities for an attractive conventionalist theory of logic. (shrink)

Several authors have detected profound analogies between Kant and Wittgenstein. Their claims have been contradicted by scholars, such being the agreed penalty for attributions to authorities. Many of the alleged similarities have either been left unsubstantiated at a detailed exegetical level, or have been confined to highly general points. At the same time, the 'scholarly' backlash has tended to ignore the importance of some of these general points, or has focused on very specific issues or purely terminological matters. To advance (...) the debate, I distinguish four different topics: questions of actual influence; parallels at the methodological level; substantial similarities in philosophical logic; substantial similarities in the philosophy of mind. The article concentrates on the second and third topic. Section I argues that the critical conception of philosophy shared by Kant and Wittgenstein is itself due to the fact that they explain the a priori status of necessary propositions by reference to the way we experience or represent reality. Section II shows how the Tractatiis linguistically transforms this 'reflective turn', replacing Kant's preconditions of experience by preconditions of symbolic representation. Section III suggests that this explanation of the a priori involves the idea of an isomorphism between thought and reality, and that both Kant's transcendental idealism and Wittgenstein's early metaphysics of symbolism distort this isomorphism. Wittgenstein later rejected this metaphysics of symbolism, on the grounds that language is autonomous, and section IV detects parallels between that idea and Kant's 'diallelus' argument against the correspondence theory of truth. Finally, I claim that while Wittgenstein is right to insist that all a priori propositions are conceptual, Kant, in calling them synthetic a priori, is right to deny that they simply unpack the concepts involved in the propositions themselves. (shrink)

In order to explain Wittgenstein’s account of the reality of completed infinity in mathematics, a brief overview of Cantor’s initial injection of the idea into set- theory, its trajectory and the philosophic implications he attributed to it will be presented. Subsequently, we will first expound Wittgenstein’s grammatical critique of the use of the term ‘infinity’ in common parlance and its conversion into a notion of an actually existing infinite ‘set’. Secondly, we will delve into Wittgenstein’s technical critique of the concept (...) of ‘denumerability’ as it is presented in set theory as well as his philosophic refutation of Cantor’s Diagonal Argument and the implications of such a refutation onto the problems of the Continuum Hypothesis and Cantor’s Theorem. Throughout, the discussion will be placed within the historical and philosophical framework of the Grundlagenkrise der Mathematik and Hilbert’s problems. (shrink)

In this paper, I present and criticize a number of influential anti-skeptical strategies inspired by Wittgenstein’s remarks on ‘hinges’. Furthermore, I argue that, following Wittgen- stein’s analogy between ‘hinges’ and ‘rules of grammar’, we should be able to get rid of Cartesian skeptical scenarios as nonsensical, even if apparently intelligible, combinations of signs.

This article explains Wittgenstein's distinction between good, bad, and vacuous modern music which he introduced in a diary entry from January 27, 1931. I situate Wittgenstein's discussion in the context of Oswald Spengler's ideas concerning the decline of Western culture, which informed Wittgenstein's philosophical progress during his middle period, and I argue that the music theory of Heinrich Schenker, and Wittgenstein's critique thereof, served as an immediate link between Spengler's cultural pessimism and Wittgenstein's threefold distinction. I conclude that Wittgenstein's distinction (...) between bad and vacuous modern music is analogous to Schenker's distinction between the compositional fallacies of the progressive and the reactionary composers of his time. Concomitantly, Wittgenstein's philosophically problematic notion of good modern music transcended the conceptual framework of both Schenker and Spengler. In this context, I examine Wittgenstein's remarks on Gustav Mahler as well as his remark on the music of the future as monophony, which, I conclude, should be understood ultimately as an ellipsis of his much later view of musical meaning and intelligibility. (shrink)

According to the dominant view, the later Wittgenstein identified the meaning of an expression with its use in the language and vehemently rejected any kind of mentalism or intentionalism about linguistic meaning. I argue that the dominant view is wrong. The textual evidence, which has either been misunderstood or overlooked, indicates that at least since the Blue Book Wittgenstein thought speakers' intentions determine the contents of linguistic utterances. His remarks on use are only intended to emphasize the heterogeneity of natural (...) language. Taking into account remarks written after he finished the Investigations, I show how Wittgenstein anticipated the basic tenets of Gricean intention-based semantics. These are, in particular, the distinction between ‘natural’ and ‘non-natural’ meaning and the distinction between what a speaker means by an utterance and what the expression uttered means in the speaker’s natural language. Importantly, Wittgenstein also believed that only the meaning of the speaker determined the content of ambiguous expressions, such as ‘bank’, on a particular occasion of utterance. (shrink)

Computation and Simulation have always played a role in economics – whether it be pure economic theory or any variant of applied, especially policy-oriented, macro- and microeconomics or what has increasingly come to be called empirical or experimental economics. Computations and simulations are also intrinsically dynamic. This triptych – computation, simulation and dynamic – is given natural foundations, mainly as a result of developments in the mathematics underpinnings in the potentials of computing, using digital technology. A running theme in this (...) essay is the recognition that, increasingly, the development of economic theory seems to go hand in hand with advances in the theory and practice of computing, which is, in turn, a catalyst for the move away from too much reliance on any kind of mathematics for the formalisation of economic entities that is inconsistent with the mathematical, methodological and epistemological foundations of the theory of computation. (shrink)

I argue for the Wittgensteinian thesis that mathematical statements are expressions of norms, rather than descriptions of the world. An expression of a norm is a statement like a promise or a New Year's resolution, which says that someone is committed or entitled to a certain line of action. A expression of a norm is not a mere description of a regularity of human behavior, nor is it merely a descriptive statement which happens to entail a norms. The view can (...) be thought of as a sort of logicism for the logical expressivist---a person who believes that the purpose of logical language is to make explicit commitments and entitlements that are implicit in ordinary practice. The thesis that mathematical statements are expression of norms is a kind of logicism, not because it says that mathematics can be reduced to logic, but because it says that mathematical statements play the same role as logical statements. ;I contrast my position with two sets of views, an empiricist view, which says that mathematical knowledge is acquired and justified through experience, and a cluster of nativist and apriorist views, which say that mathematical knowledge is either hardwired into the human brain, or justified a priori, or both. To develop the empiricist view, I look at the work of Kitcher and Mill, arguing that although their ideas can withstand the criticisms brought against empiricism by Frege and others, they cannot reply to a version of the critique brought by Wittgenstein in the Remarks on the Foundations of Mathematics. To develop the nativist and apriorist views, I look at the work of contemporary developmental psychologists, like Gelman and Gallistel and Karen Wynn, as well as the work of philosophers who advocate the existence of a mathematical intuition, such as Kant, Husserl, and Parsons. After clarifying the definitions of "innate" and "a priori," I argue that the mechanisms proposed by the nativists cannot bring knowledge, and the existence of the mechanisms proposed by the apriorists is not supported by the arguments they give. (shrink)

Homo deceptus is a book that brings together new ideas on language, consciousness and physics into a comprehensive theory that unifies science and philosophy in a different kind of Theory of Everything. The subject of how we are to make sense of the world is addressed in a structured and ordered manner, which starts with a recognition that scientific truths are constructed within a linguistic framework. The author argues that an epistemic foundation of natural language must be understood before laying (...) claim to any notion of reality. This foundation begins with Ludwig Wittgenstein’s Tractatus Logico-Philosophicus and the relationship of language to formal logic. Ultimately, we arrive at an answer to the question of why people believe the things they do. This is effectively a modification of Alfred Tarski’s semantic theory of truth. The second major issue addressed is the ‘dreaded’ Hard Problem of Consciousness as first stated by David Chalmers in 1995. The solution is found in the unification of consciousness, information theory and notions of physicalism. The physical world is shown to be an isomorphic representation of the phenomenological conscious experience. New concepts in understanding how language operates help to explain why this relationship has been so difficult to appreciate. The inclusion of concepts from information theory shows how a digital mechanics resolves heretofore conflicting theories in physics, cognitive science and linguistics. Scientific orthodoxy is supported, but viewed in a different light. Mainstream science is not challenged, but findings are interpreted in a manner that unifies consciousness without contradiction. Digital mechanics and formal systems of logic play central roles in combining language, consciousness and the physical world into a unified theory where all can be understood within a single consistent framework. (shrink)

Some interpreters have ascribed to Wittgenstein the view that mathematical statements must have an application to extra-mathematical reality in order to have use and so any statements lacking extra-mathematical applicability are not meaningful (and hence not bona fide mathematical statements). Pure mathematics is then a mere signgame of questionable objectivity, undeserving of the name mathematics. These readings bring to light that, on Wittgenstein’s offered picture of mathematical statements as rules of description, it can be difficult to see the role of (...) mathematical statements which relate to concepts that are not employed in empirical propositions e.g. set-theoretic concepts. I will argue that Wittgenstein’s picture is more flexible than might at first be thought and that Wittgenstein sees such statements as serving purposes not directly related to empirical description. Whilst this might make such systems fringe cases of mathematics, it does not bring their legitimacy as mathematical systems into question. (shrink)

The starting point of this paper is the idea that linguistic representation is the result of a global process: a process of interaction of a community of cognitive-linguistic agents, with one another and with the environment. I maintain that the study of truth, meaning and related notions should be addressed without losing perspective of this process, and I oppose the ‘static’ or ‘analytic’ approach, which is fundamentally based on our own knowledge of the conventional meaning of words and sentences, and (...) the ability of using them that we have as competent speakers. I argue that the analytic perspective is responsible for five recurring difficulties in truthmaker theory: (1) the lack of attention to the difference of explanatory role between the distinct notions proposed as primary truthbearer; (2) the adscription of purely extra-linguistic truthmakers to ‘synthetic truths’, ignoring the contribution of the linguistic factor; (3) the adscription of purely linguistic truthmakers to ‘logical’ and ‘analytic truths’, ignoring the contribution of the worldly factor; (4) the difficulties in the search for minimal truthmakers; (5) the problems in the treatment of ‘negative facts’ and of other ‘logically complex facts’. I do not provide an account of how to solve these difficulties, but I do show how the ‘process model’ helps to clear up confusion regarding them. (shrink)