In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse (...) different evaluative standards for theories. We evaluate the distinction between pure and applied mathematics from a late Wittgensteinian perspective. We note that the classical exegesis of the later Wittgenstein’s philosophy of mathematics, due to Maddy, leads to a clear-cut but misguided demarcation. We then turn our attention to a more niche interpretation of Wittgenstein by Dawson, which captures aspects of the aforementioned distinction more accurately. Building on this newer, maverick interpretation of the later Wittgenstein’s philosophy of mathematics, and endorsing an extended notion of meaning as use which includes social, mundane uses, we elaborate a fuzzy, but more realistic, demarcation. This demarcation, relying on family resemblance, is based on how direct and intended technical applications are, the kind of evaluative standards featured, and the range of rhetorical purposes at stake. (shrink)

Distinctively mathematical explanations (DMEs) explain natural phenomena primarily by appeal to mathematical facts. One important question is whether there can be an ontic account of DME. An ontic account of DME would treat the explananda and explanantia of DMEs as ontic structures and the explanatory relation between them as an ontic relation (e.g., Pincock 2015, Povich 2021). Here I present a conventionalist account of DME, defend it against objections, and argue that it should be considered ontic. Notably, if indeed it (...) is ontic, the conventionalist account seems to avoid a convincing objection to other ontic accounts (Kuorikoski 2021). (shrink)

«…le point le plus important, voyez-vous, c'est que le professeur soit plein de dignité et à une certaine distance de l'élève… Done, je suis assis au fond de la salle le plus loin possible de la porte; à lextérieur de la porte est assis un domestique; àl'extérieur de la porte extérieure, est assis un sous-domestique; dans l'escalier à mi-étage, est assis un sous-sous-domestique; enfin dans la cour est assis l'élève.

In this lecture, I want to convey some ideas about linguistic communication which will probably be found not only unfamiliar, but also difficult to grasp at a first encounter. Perhaps I am being too ambitious in so short a compass. At any rate, my only hope of success is to work within closely defined limits, to concentrate more upon expounding these suggestions than upon detailed justification of them, and to say as little as possible about the shortcomings of alternative proposals (...) which are current. The references which I cite have also been rather narrowly selected. As to the limits of this discussion, it will be confined to linguistic communication, as effected by the use of sentences. This is not to deny that there are non-linguistic forms of communication, both between men and between other animals, nor that there are other units of linguistic communication than the sentence; I have taken only what seems most typical of human communication, in order to make the task manageable. (shrink)

In this lecture, I want to convey some ideas about linguistic communication which will probably be found not only unfamiliar, but also difficult to grasp at a first encounter. Perhaps I am being too ambitious in so short a compass. At any rate, my only hope of success is to work within closely defined limits, to concentrate more upon expounding these suggestions than upon detailed justification of them, and to say as little as possible about the shortcomings of alternative proposals (...) which are current. The references which I cite have also been rather narrowly selected. As to the limits of this discussion, it will be confined to linguistic communication, as effected by the use of sentences. This is not to deny that there are non-linguistic forms of communication, both between men and between other animals, nor that there are other units of linguistic communication than the sentence; I have taken only what seems most typical of human communication, in order to make the task manageable. (shrink)

This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

Naturalistic philosophers rely on literature search and review in a number of ways and for different purposes. Yet this article shows how processes of literature search and review are likely to be affected by widespread and systematic biases. A solution to this problem is offered here. Whilst the tradition of systematic reviews of literature from scientific disciplines has been neglected in philosophy, systematic reviews are important tools that minimize bias in literature search and review and allow for greater reproducibility and (...) transparency. If naturalistic philosophers wish to reduce bias in their research, they should then supplement their traditional tools for literature search and review by including systematic methodologies. (shrink)

Dans la philosophie de Hintikka la notion d'analyticité occupe une place particulière (e.g., [Hintikka 1973], [Hintikka 2007]) ; plus précisément, le philosophe finnois distingue deux notions d'analyticité : l'une qui est basée sur la notion d'information, l'autre sur la notion de preuve. Alors que ces deux notions ont été largement utilisées pour étudier la logique propositionnelle et la logique du premier ordre, aucun travail n'a été développé pour la logique modale. Cet article se propose de combler cette lacune et ainsi (...) d'examiner l'analyticité des validités de la logique modale. (shrink)

A semantic theory is committed to semantic monism just in case every particular semantic property posited by the theory is a member of the same kind. The commitment to semantic monism appears to draw some support from the need to provide a compositional semantics, since taking a single kind of semantic property as key to a semantic theory affords a uniform pattern on the basis of which the meaning of any given sentence can be compositionally determined. This line of support (...) highlights a tension between the principle of compositionality and taking a more pluralistic approach to semantic theorizing. In this essay, that tension is relieved, leaving open the prospect of a pluralistic semantic theory that observes the principle of compositionality. (shrink)

In this paper, I draw attention to the often-overlooked Tractarian distinction between representing and depicting, provide a clear account of it and examine how it affects our understanding of the notions of ‘being a picture’, meaningfulness, truth, and falsity in the Tractatus. I also look at the recent debate in the literature on the notion of truth and show that Glock’s claim that the official theory of the Tractatus is to be accounted in terms of obtainment only and deflationary accounts (...) such as Hacker’s derive from a failure to notice the distinction between representing and depicting or a misconception of depicting. Finally, I argue against the idea that either representing or depicting should be dispensed with. Both are necessary for Wittgenstein to account for every case of a proposition being a picture of reality. (shrink)

This paper presents an 'internal' criticism of Winch's seminal 'Understanding a Primitive Society'. It distinguishes between two contrasting approaches to critical social understanding: (1) the metaphysical approach, central to the whole tradition of critical philosophy and critical social theory from Kant, through Marx to the Frankfurt School and contemporary theorists such as Habermas and Searle; (2) the descriptive approach, advocated by Winch, and which derives from Wittgenstein's critique of philosophical theory. It is argued, against a long tradition of 'critical theory' (...) depicting Wittgenstein's philosophy as irredeemably 'conservative', that the descriptive approach is perfectly apt for generating a critical understanding of central Western institutions. Rather than seeking to provide an explanatory theory through which to discern what allegedly is imperceptible to theoretically unaided perception (i.e. the metaphysical approach), the descriptive approach aims for a 'perspicuous presentation' of our everyday practices and institutions in such a way as to see their 'irrational' and 'alienating' dimensions. Winch's basic position in 'Understanding a Primitive Society' is endorsed, but it is argued that ultimately he fails in his descriptive intent. In place of the Christian prayer analogy that Winch invokes in order to make sense of Zande witchcraft, it is proposed that Western commodity production and exchange provide a more appropriate, instructive, and critical comparison. (shrink)

Alice Crary claims that “the standard view of the bearing of Wittgenstein's philosophy on ethics” is dominated by “inviolability interpretations”, which often underlie conservative readings of Wittgenstein. Crary says that such interpretations are “especially marked in connection with On Certainty”, where Wittgenstein is represented as holding that “our linguistic practices are immune to rational criticism, or inviolable”. Crary's own conception of the bearing of Wittgenstein's philosophy on ethics, which I call the “intrinsically-ethical reading”, derives from the influential New Wittgenstein school (...) of exegesis, and is also espoused by James Edwards, Cora Diamond, and Stephen Mulhall. To my eyes, intrinsically-ethical readings present a peculiar picture of ethics, which I endeavour to expose in Part I of the paper. In Part II I present a reading of On Certainty that Crary would call an “inviolability interpretation”, defend it against New Wittgensteinian critiques, and show that this kind of reading has nothing to do with ethical or political conservatism. I go on to show how Wittgenstein's observations on the manner in which we can neither question nor affirm certain states of affairs that are fundamental to our epistemic practices can be fruitfully extended to ethics. Doing so sheds light on the phenomenon that I call “basic moral certainty”, which constitutes the foundation of our ethical practices, and the scaffolding or framework of moral perception, inquiry, and judgement. The nature and significance of basic moral certainty will be illustrated through consideration of the strangeness of philosophers' attempts at explaining the wrongness of killing. (shrink)

Hayek's and Mises's argument for the impossibility of socialist planning is once again popular. Their case against socialism is predicated on an account of the nature of knowledge and social interaction. Hayek refined Mises's original argument by developing a philosophical anthropology which depicts individuals as tacitly knowledgeable rule-followers embedded in a 'spontaneous order' of systems of rules. Giddens, whose social theory is informed by his reading of Wittgenstein, has recently added his sociological support to Hayek's 'epistemological argument' against socialism. With (...) the aid of an interpretation of Wittgenstein which emphasizes his philosophy of praxis , I attempt to 'deconstruct' Giddens's and Hayek's 'picture' of tacit knowledge and rule-following on which their argument against socialism is predicated. (shrink)

In Culture and Value Wittgenstein remarks: ‘Thoughts that are at peace. That's what someone who philosophizes yearns for’. The desire for such conceptual tranquillity is a recurrent theme in Wittgenstein's work, and especially in his later ‘grammatical-therapeutic’ philosophy. Some commentators (notably Rush Rhees and C. G. Luckhardt) have cautioned that emphasising this facet of Wittgenstein's work ‘trivialises’ philosophy – something which is at odds with Wittgenstein's own philosophical ‘seriousness’ (in particular his insistence that philosophy demands that one ‘Go the bloody (...) hard way’). Drawing on a number of correlations between Wittgenstein's conception of philosophy and that of the Pyrrhonian Sceptics, in this paper I defend a strong ‘therapeutic’ reading of Wittgenstein, and show how this can be maintained without ‘trivialising’ philosophy. (shrink)

Frege explained the notion of generality by stating that each its instance is a fact, and added only later the crucial observation that a generality can be inferred from an arbitrary instance. The reception of Frege’s quantifiers was a fifty-year struggle over a conceptual priority: truth or provability. With the former as the basic notion, generality had to be faced as an infinite collection of facts, whereas with the latter, generality was based on a uniformity with a finitary sense: the (...) provability of an arbitrary instance. (shrink)

La globalización y la era digital plantean un giro que trasciende a las realidades económica, científica, filosófica y educativa, llegando a afectar a la totalidad de la vida cotidiana. Este artículo examina en qué medida los factores históricos, culturales y sociales configuran al individuo de esta nueva era. En él se delibera sobre los condicionantes que permiten adscribirse a una era, así como aquellas circunstancias que determinan y justifican el paso de una era a la siguiente. Finalmente puede decirse que, (...) aunque con prudencia, porque es el tiempo quien debe darnos la razón, empezamos a vivir en la post-postmodernidad. (shrink)

Russell's version of the multiple-relation theory from the "Theory of Knowledge" manuscript is presented and defended against some objections. A new problem, related to defining truth via correspondence, is reconstructed from Russell's remarks and what we know of Wittgenstein's objection to Russell's theory. In the end, understanding this objection in terms of correspondence helps to link Russell's multiple-relation theory to his later views on propositions.

O presente artigo examina o modo como Leibniz figurou as relações entre o pensa- mento filosófico e o pensamento místico, recorrendo para isso ao contraste entre suas teses e as de Spinoza. Trata-se de mostrar que a transcendência do fundamento da racionalidade levará Leibniz, de forma à primeira vista surpreendente, a uma valorização da totalidade do campo imanente da experiência humana como fonte de conhecimento. O erro do spinozis- mo, segundo Leibniz, consiste justamente em, ao tornar imanente o fundamento, perder (...) de vista a especificidade cognitiva e ética da experiência. (shrink)

O objetivo desse artigo é fazer uma discussão acerca da concepção de verdade presente no método A Razão dos Efeitos do filósofo francês Blaise Pascal. No opúsculo Do Espírito Geométrico, Pascal constata a presença de limites no âmbito da racionalidade que impedem a apreensão dos princípios da geometria de modo absoluto. Segundo pensamos, o método A Razão dos Efeitos, utilizado na obra Pensamentos, também estaria estruturado a partir desse pressuposto. Nos Pensamentos Pascal, na medida em que se depara com a (...) impossibilidade de apreender o homem de modo absoluto, é levado a assumir uma concepção bipolar de verdade no âmbito do método A Razão dos Efeitos, na qual os dois pólos que constituem a natureza humana, a miséria e a grandeza, são valorizados dentro da óptica do pecado original. Desse modo, tanto no Opúsculo, quanto nos Pensamentos, constatamos a presença de limites, os quais impedem que possamos obter uma concepção absoluta de verdade, seja em sentido teórico ou prático. (shrink)

This paper investigates Wittgenstein's remarks on happiness and harmony in the context of Wittgensteinian antitheodicy. Philosophers of religion inspired by Wittgenstein's philosophy often criticize theodicies seeking to justify apparently meaningless evil and suffering within God's overall harmonious plan. The paper analyses Wittgenstein's early views on happiness as harmony with the world, examining whether they are incompatible with an antitheodicist approach abandoning the very project of theodicy by acknowledging a certain kind of disharmony. However, antitheodicy may also, at the transcendental meta-level, (...) be considered a “harmonious” way of “seeing the world aright,” which raises a reflexive problem for any Wittgenstein-inspired antitheodicy. (shrink)

I argue that we should emancipate the problem of evil and suffering from theodicist assumptions that lead to a chronic non-acknowledgment of the sufferers’ experiential point of view. This also entails emancipating the problem of evil and suffering from the need to consider the so-called argument from evil. In the argument ‘from’ evil, evil and suffering are seen as pieces of empirical evidence against theism. This presupposes understanding theism as a hypothesis to be tested in an evidentialist game of argumentation. (...) Such a presupposition already fails to acknowledge the depth and variety of both religious and nonreligious approaches to living with evil and suffering. One way of cashing out what moral antitheodicism amounts to is to analyze theodicism as a failure of recognizing others’ suffering. Furthermore, one way of cashing out what this mis- or nonrecognition amounts to is to analyze the unforgivability of evil. Focusing on recognition and forgiveness here can be understood as an attempt to show that there is something seriously wrong with mainstream analytic philosophers’ of religion preoccupation with the argument from evil. In contrast, an ethically proper response to evil and suffering emerges from a serious consideration of recognition, forgiveness, and the unforgivable. (shrink)

The Analytic Tradition in Philosophy is an excellent successor to an excellent book : It is a fine an example of the necromantic style in the history of philosophy where the object of the exercise is to resurrect the mighty dead in order to get into an argument with them, either because we think them importantly right or instructively wrong. However what was a pardonable a simplification and a reasonable omission in the earlier book has now metamorphosed into a sin (...) of omission and an oversimplification in its successor—the book lacks is an adequate discussion of the Ramified Theory of Types and Russell’s reasons for adopting it. I conclude with a brief meditation on Open Question Arguments and the threats that they pose to some of the analyses proposed by Russell and Moore themselves. (shrink)

La teoría problemática del filósofo belga Michel Meyer abrió un nuevo horizonte filosófico y argumentativo para librar al pensamiento humano del dominio de la tendencia proposicional. Una tendencia que impuso un patrón sistemático, a lo largo de la historia del pensamiento humano, con una referencia lógica basada en los principios de no contradicción, de identidad y de tercero excluido. Este artículo se centrará en las aportaciones de la teoría llamada “de la problematologie” para liberar a la interpretación de la tiranía (...) proposicional que reduce la pluralidad de las respuestas a una dicotomía proposicional A o -A. (shrink)

In this paper, I attempt to address some of the themes of Ludwig Wittgenstein’s Tractatus logico-philosophicus with the aim of their deconstructionist interpretation. My analysis is based on David Gunkel’s book Deconstruction (MIT Press 2021). Based on some of its findings, I show how the Tractatus allows deconstruction and its practice to be thought. I show that the graphic structure of signs is crucial for the young Wittgenstein’s analysis and that it justifies the metaphysical findings in favor of which he (...) argues. ------------------------- Received:11/09/2022. Reviewed: 17/11/2022. Accepted: 1/12/2022. (shrink)

Kit Fine has reawakened a puzzle about variables with a long history in analytic philosophy, labeling it “the antinomy of the variable”. Fine suggests that the antinomy demands a reconceptualization of the role of variables in mathematics, natural language semantics, and first-order logic. The difficulty arises because: (i) the variables ‘x’ and ‘y’ cannot be synonymous, since they make different contributions when they jointly occur within a sentence, but (ii) there is a strong temptation to say that distinct variables ‘x’ (...) and ‘y’ are synonymous, since sentences differing by the total, proper substitution of ‘x’ for ‘y’ always agree in meaning. We offer a precise interpretation of the challenge posed by (i) and (ii). We then develop some neglected passages of Tarski to show that his semantics for variables has the resources to resolve the antinomy without abandoning standard compositional semantics. (shrink)

Rorty's assessment of the origins of the analytic/continental divide is discussed and criticized on several grounds. Rorty's plea in favour of the philosophical quietism implicit in the pragmatists' dismissal of metaphysics rests on an uncritical faith in scientific progress. To emphasize the tensions implicit in the ideal of progress a novel interpretation of the significance of Faust's encounter with Sorge (Care) is offered and compared with Heidegger's construal of Sorge in Sein und Zeit . A better understanding of the analytic/continental (...) divide is gained if we concentrate on the impact of Nazism and Fascism on the philosophical tradition with which philosophers living on the Continent had to come to terms after the Second World War. In this respect Adorno's attitude to progress in general and to philosophy in particular is very instructive and can be usefully contrasted with Rorty's dismissal of metaphysics. (shrink)

It is commonplace for philosophers to distinguish mere truths from truths that perspicuously represent the world's structure. According to a popular view, the perspicuous truths are supposed to be metaphysically revelatory and to play an important role in the accounts of law-hood, confirmation, and linguistic interpretation. Yet, there is no consensus about how to characterize this distinction. I examine strategies developed by Lewis and by Sider in his Writing the Book of the World which purport to explain this distinction in (...) terms of vocabulary: the truths that represent the world perspicuously have better, joint-carving vocabulary. I argue that the distinction between a perspicuous and mere truth concerns both the vocabulary of the sentence and its grammar. I then show that the collective motivations for distinguishing perspicuous from mere truths do not allow Lewis and Sider to properly impose constraints on grammar. (shrink)

Jeffrey King argues that nothing has truth conditions except by being taken to be true or false by rational agents. But – for good reason – King claims that propositions possess truth conditions essentially and intrinsically. I will argue that King cannot have both: if the truth conditions of a proposition depend on the reactions of rational agents, then the possession of truth conditions can't follow from the intrinsic nature or existence of the proposition. This leaves two options. Either, nothing (...) can do the job that motivates positing propositions. Or, there is no need to explain what bestows a truth condition on a proposition. (shrink)

The religious and spiritual aspects of Wittgenstein, his understanding of ‘das mystiche’ and his philosophy understood against the background of German mysticism has been commented on by authors to...

My propositions serve as elucidations in this way: he who understands me eventually recognises them as nonsensical, when he has used them – as steps – to climb up over them. (He must, so to speak,...

We present an analysis of a notion of the meaning of life, according to which our lives have meaning if we spend them intentionally producing what has value for ourselves or others. In this sense our lives can have meaning even if a science-inspired view of the world is correct, and they are only transient phenomena in a vast universe. Our lives are more or less meaningful in this sense due to the difference in value for ourselves and others we (...) intentionally create while leading them. These inequalities are morally unjustifiable because they are ultimately due to factors beyond our responsibility and control. But from the point of view of eternity these differences in meaningfulness and value dwindle to insignificance, and this offers some consolation for the unjustifiable inequalities. (shrink)

_ Source: _Volume 6, Issue 2-3, pp 143 - 164 In §513 of _On Certainty_ Wittgenstein asks “What if something _really unheard-of_ happened?” But with this question he is not asking us to make a forecast, a prediction, or some sort of empirico-psychological prophecy about our possible reactions. As I will attempt to show, the question regarding the unheard-of is part of Wittgenstein’s philosophical method—which is to say, it is one of the instruments with which he combats what he sees (...) as the principal source of the confusions of philosophy: mistaking the grammatical for the empirical or, as he also says, the conceptual for the factual. In this sense the question regarding the unheard-of can shed some light on the grammatical status of what he calls “hinges.”. (shrink)

Self, person, and identity are among the concepts most central to the way humans think about themselves and others. It is often natural in biology to use such concepts; it seems sensible to say, for example, that the job of the immune system is to attack the non-self, but sometimes it attacks the self. But does it make sense to borrow these concepts? Don’t they only pertain to persons, beings with sophisticated minds, and perhaps even souls? I argue that if (...) we focus on the every-day concepts of self and identity, and set aside loftier concepts found in religion, philosophy, and psychology that are applicable, at most, to humans, we can see that self and identity can be sensibly applied widely in biology. (shrink)

Doing Worlds with Words throws light on the problem of meaning as the meeting point of linguistics, logic and philosophy, and critically assesses the possibilities and limitations of elucidating the nature of meaning by means of formal logic, model theory and model-theoretical semantics. The main thrust of the book is to show that it is misguided to understand model theory metaphysically and so to try to base formal semantics on something like formal metaphysics; rather, the book states that model theory (...) and similar tools of the analysis of language should be understood as capturing the semantically relevant, especially inferential, structure of language. From this vantage point, the reader gains a new light on many of the traditional concepts and problems of logic and philosophy of language, such as meaning, reference, truth and the nature of formal logic. (shrink)