This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an intentional (...) but non-propositional mental state that is also non-conceptual and non-phenomenal in nature. Moreover, this state is individuated by its progenitor, namely, the relevant thought experiment. Third, the author provides an argument for the evidential status of intuitions based on the correct account of the nature of epistemic intuition. The suggestion is the fitting-ness approach: intuition alone has no epistemic status. Rather, intuition has evidentiary value as long as it fits well with other pieces into a whole, namely, the pertinent thought experiment. Finally, the book addresses the key challenges raised by supporters of anti-centrality, according to which philosophers do not regard intuition as central evidence in philosophy. To that end, the author responds to them, showing that they fail to affect the account of intuition developed in this book. This text appeals to students and researchers working in epistemology. (shrink)

ABSTRACT Contemporary relativists often see their view as contributing to a semantic/post-semantic account of linguistic data about disagreement and retraction. I offer an independently motivated metasemantic account of the same data, that also handles a number of cases and empirical results that are problematic for the relativist. The key idea is that the content of assertions and beliefs is determined in part by facts about other times, including times after the assertion is made or the belief is formed. On this (...) temporal externalist view, speaker behaviours such as retraction of previous assertions play a role in making it the case that a past utterance has a given meaning. (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)

It has been argued in relation to Old Babylonian mathematical procedure texts that their validity or correctness is self-evident. One “sees” that the procedure is correct without it having, or being accompanied by, any explicit arguments for the correctness of the procedure. Even when agreeing with this view, one might still ask about how is the correctness of a procedure articulated? In this work, we present an articulation of the correctness of ancient Egyptian and Old Babylonian mathematical procedure texts – (...) mathematical texts presenting the solution of problems. We endeavor to make explicit and explain how and why the procedures are reliable over and above the fact that their correctness is intuitive. (shrink)

A "concept" in the sense favoured by Wittgenstein is a paradigm for a transition between parts of a notational system. A concept-determining sentence such as "There is no reddish green" registers the absence of such a transition. This suggests a plausible account of what is perceived in an experiment that was first designed by Crane and Piantanida, who claim to have induced perceptions of reddish green. I shall propose a redescription of the relevant phenomena, invoking only ordinary colour concepts. This (...) redescription is not ruled out by anything the experimenters say. It accounts for certain peculiarities in both their descriptions and their subjects', and suggests that instead of discovering forbidden colours the experimenters introduced a new use of "-ish". Still, there is a point in speaking of "reddish green" in their context, which can be motivated by invoking what Wittgenstein calls a "physiognomy". (shrink)

Existe una aparente incongruencia entre, por una parte, la gran distancia que Ludwig Wittgenstein detectaba entre sus objetivos filosóficos y los de los pragmatistas y, por otra, el acercamiento que posteriormente se ha producido en la historia de la recepción de la filosofía wittgensteiniana entre esta y el (neo)pragmatismo. Con afán de tratar de arrojar algo de luz sobre tal discordancia, nos ocuparemos aquí de modo privilegiado en las reflexiones de Wittgenstein en torno al cumplimiento de reglas (es decir, sobre (...) el fenómeno de la normatividad), y la solución que a este respecto dan diversos autores pragmatistas, para comprobar si efectivamente es similitud o más bien radical disparidad (o tal vez, si se nos permite la manida referencia, simplemente un «parecido de familia») la que se da entre el proyecto filosófico wittgensteiniano y el pragmatista. Pero el objetivo fundamental de este escrito no es, con todo, una simple determinación exegética de cuáles son las verdaderas intenciones de unos y otros (esfuerzo intencionalista que combinaría bastante mal, por lo demás, con las nociones tanto wittgensteinianas como pragmatistas acerca de la normatividad); sino que de lo que se tratará será principalmente de ver qué tesis resultan, a la postre, más plausibles si queremos hacernos con una idea filosóficamente coherente del fenómeno de lo normativo: si las de un pragmatismo estereotipado (que Wittgenstein repudia ferviente), o bien las de un pensamiento que se quiere no filosófico (como el del propio vienés), o bien las mucho más matizadas consideraciones procedentes del neopragmatismo. (shrink)

Modality presents notorious philosophical problems, including the epistemic problem of how we could come to know modal facts and metaphysical problems about how to place modal facts in the natural world. These problems arise from thinking of modal claims as attempts to describe modal features of this world that explain what makes them true. Here I propose a different view of modal discourse in which talk about what is “metaphysically necessary” does not aim to describe modal features of the world, (...) but, rather, provides a particularly useful way of expressing constitutive semantic and conceptual rules in the object language. The result is a “modal normativist” view that enables us to avoid the epistemic problems of modality and mitigate the metaphysical worries, while also leaving open the possibility of a unified account of the function of modal language. Finally, I address a serious challenge: we have the norms we do in order to track the modal facts of the world, so that the order of explanation must go in the opposite direction. I close by showing how the normativist may answer that challenge. (shrink)

The predominant interpretation of Wittgenstein's later remarks on religion takes him to hold that all religious utterances are non-scientific, and to hold that the way to show that religious utterances are non-scientific is to identify and characterise the grammatical rules governing their use. This paper claims that though this does capture one strand of Wittgenstein's later thought on religion, there is an alternative strand of that thought which is quite different and more nuanced. In this alternative strand Wittgenstein stresses that (...) religious utterances and beliefs can come in both scientific and non-scientific varieties. More than that, he claims that the grammar of religious utterances, and the logic of religious beliefs, is often complex – in that individual utterances and beliefs will often be mixed between, indeterminate between, or fluid between being scientific and being non-scientific. This complexity means that it will often be unhelpful to try to pin down one particular grammar or logic for a given utterance or belief. Wittgenstein therefore suggests a new method of grammatical and logical investigation, which is less likely to distort complex grammars or logics by being overly simplistic or rigid. This method is to use simple examples of utterances and beliefs as objects of comparison, so as to illuminate the different aspects of the more complex actual utterances and beliefs under examination. This alternative strand in Wittgenstein's later remarks on religion is a manifestation of a broader strand of Wittgenstein's later thought as a whole, which was first described by Friedrich Waismann, and later developed by Gordon Baker and Oskari Kuusela. The paper concludes by providing examples of religious beliefs which are logically mixed, indeterminate, and fluid, and showing how simple objects of comparison can be used to illuminate them. (shrink)

This article aims to show that Wittgenstein’s remarks on religious belief and religious statements can be understood in modest philosophical terms, consistent with the thought that they are neither intended as serving to justify or undermine religious beliefs, nor as the expression of any theorizing about the nature of religious belief or the meaning of religious language. Instead, their philosophical significance is held to consist in their functioning to remind us of what we already know about the latter: such things (...) as in what circumstances one utters religious statements, what the consequences of accepting or rejecting religious beliefs are, and so on. His position is that all attempts to say something more than this are either a mark of philosophical arrogance or a manifestation of one’s own personal commitment to adopting a stance of religious belief or non-belief. As such, they do not furnish us with genuine philosophical insights. I argue that such an interpretation possess two principal merits. Firstly, it demonstrates that there is no tension between Wittgenstein’s remarks on the nature of philosophy and his remarks on religious belief and religious statements. Secondly, it shows that it is possible to philosophize about religion in a manner that does not assume that this has to consist either in presenting an apology for or critique of religion or in formulating philosophical theories regarding the nature of religious belief and the meaning of religious language. (shrink)

Notwithstanding his own spiritual inadequacies, Wittgenstein has a profound respect for those capable of living a genuinely religious life; namely, those whose “passionate,” “loving” faith demands unconditional existential commitment. In contrast, he disapproves of those who see religious belief as hypothetical, reasonable, or dependent on empirical evidence. Drawing primarily on Culture and Value, “Lectures on Religious Belief,” and On Certainty, in this essay I defend two claims: (1) that there is an unresolved tension between Wittgenstein's later descriptive-therapeutic approach and the (...) implicit normativity of his conception of genuine/passionate religious belief; and (2) that the demarcation between the latter and its pseudo-religious counterpart is itself problematic. To illustrate these claims I argue that apocalyptic Christian fundamentalism presents a significant challenge to Wittgenstein's taxonomy. Despite these shortcomings, however, I conclude by suggesting that his characterization of religious belief as a “passion” or “love” remains valuable. (shrink)

Offering a cautionary tale about the abuses of paradigm‐shift rhetoric in secondary school reforms, the paper shows potential misuses and ethical effects of the relativistic language‐game in post‐compulsory education. Those initiating the shift often shelter their reform from the criticism of non‐adepts, marginalizing expert teachers that adhere to ‘antiquated’ or ‘folk’ pedagogies. The rhetoric herds educators uncritically into the citadel of new discourses and policies that often lack practical foundations; consequently, teachers often dissimulate compliance to the reform in order to (...) evade surveillance within such disciplinary apparatuses as teacher training and regimes of inspection. Turning to Foucault, the author views education reforms in terms of power relations within a form of governance: ‘games of truth’, or political and veridical discourses in which dividing practices for sorting out ‘sound’ and ‘unsound’ teaching practices become institutionalised. Wittgenstein's attention to initiate training in practices points to an alternative to naïve forms of relativism; educators must incorporate the new techniques they gradually master and adapt within a viable, shared form of life. Instead of teachers’ normalization and subjugation in what Foucault refers to as education ‘blocks’, new pedagogic practices are better adopted ‘freely’ as arts of self‐transformation. With Hacking, Foucault and Wittgenstein's accounts of the true‐and‐false are blended into an ‘historical ontology’ of present and emergent paradigms: a critique of the limits set down within education reforms that sanction or legitimize certain conduct. Sympathetic to the journal call, this kind of philosophical investigation and genealogical critique of teaching practices gives us a perspicuous view of the local, contingent and at times arbitrary nature of change initiatives. Critical awareness of how our pictures of education can captivate us heightens respect for professional eclecticism. Without ignoring the mandates and official scripts of public education reforms, experienced educators need to be able to conserve their tried and warranted ‘best practices’, while negotiating ranges of tolerance for alternative means. (shrink)

In this paper, I argue against the later Wittgenstein's conventionalist account of necessity. I first show that necessary propositions and grammatical rules differ in ways that make an explanation of the former in terms of the latter inadequate. I then argue that even if Wittgenstein's account were adequate, the explanation of necessity it offers would still fail to be genuinely reductive of the modal notion.

Alan Turing’s 1950 imitation game has been widely understood as a means for testing if an entity is intelligent. Following a series of papers by Diane Proudfoot, I offer a socio-technological interpretation of Turing’s paper and present an alternative way of understanding both the imitation game and Turing’s concept of intelligence. Turing, I claim, saw intelligence as a social concept, meaning that possession of intelligence is a property determined by society’s attitude toward the entity. He realized that as long as (...) human society held a prejudiced attitude toward machinery—seeing machines a priori as mindless objects—machines could not be said to be intelligent, by definition. He also realized, though, that if humans’ a priori, chauvinistic attitude toward machinery changed, the existence of intelligent machines would become logically possible. Turing thought that such a change would eventually occur: He believed that when scientists overcome the technological challenge of constructing sophisticated machines that could imitate human verbal behavior—i.e., do well in the imitation game—humans’ prejudiced attitude toward machinery will have altered in such a way that machines could be said to be intelligent. The imitation game, for Turing, was not an intelligence test, but a technological aspiration whose realization would likely involve a change in society’s attitude toward machines. (shrink)

Kalhat has forcefully criticised Wittgenstein's linguistic or conventionalist account of logical necessity, drawing partly on Waismann and Quine. I defend conventionalism against the charge that it cannot do justice to the truth of necessary propositions, renders them unacceptably arbitrary or reduces them to metalingustic statements. At the same time, I try to reconcile Wittgenstein's claim that necessary propositions are constitutive of meaning with the logical positivists’ claim that they are true by virtue of meaning. Explaining necessary propositions by reference to (...) linguistic conventions does not reduce modal to non‐modal notions, but it avoids metaphysical accounts, which are incapable of explaining how we can have a priori knowledge of necessity. (shrink)

We describe a variety of sets internal to models of intuitionistic set theory that (1) manifest some of the crucial behaviors of potentially infinite sets as described in the foundational literature going back to Aristotle, and (2) provide models for systems of predicative arithmetic. We close with a brief discussion of Church’s Thesis for predicative arithmetic.

Intuition is frequently used in medicine. Along with the use of existing medical rules, there is a separate channel that physicians rely on when making decisions: their intuition. To cope with the epistemic problem of using intuition, I use some clues from Wittgenstein's philosophy to illuminate the decision-making process in medicine. First, I point to a connection between intuition as functioning in medicine and Wittgenstein's notions of "seeing as" or noticing "aspects". Secondly, I use Wittgenstein notion of empirical regularities hardened (...) into rules to suggest that there are two stages that should be addressed in the analysis of medical practice: the first concerns the accumulation of cases and the second pertains to the setting a rule based on these cases. I argue further that the medical context is exceptional in that the two stages are intertwined and, and explain the consequences of this fact for the physician's work. Finally, inspired by Wittgenstein's rule-following conundrum, I argue that medicine is particularly prone to difficulties in applying a general rule to a specific case represented by an individual patient. Recourse to intuition is reflects the physicians' efforts to bridge this gap. (shrink)

In the scholarship on Wittgenstein’s later philosophy of mathematics, the dominant interpretation is a theoretical one that ascribes to Wittgenstein some type of ‘ism’ such as radical verificationism or anti-realism. Essentially, he is supposed to provide a positive account of our mathematical practice based on some basic assertions. However, I claim that he should not be read in terms of any ‘ism’ but instead should be read as examining philosophical pictures in the sense of unclear conceptions. The contrast here is (...) that basic assertions that frame philosophical ‘isms’ are propositional such that they are subject to normal argumentative evaluation, while pictures in Wittgenstein’s sense are non-propositional—they lack a clear truth condition. They, therefore, need clarification rather than argumentation. In this paper, I provide a detailed analysis of Wittgenstein’s treatment of philosophical pictures with special focus on his argument on contradiction. I begin by explaining the problem with this trend of theoretical interpretation, taking Steve Gerrard’s otherwise excellent interpretation as a representative example and pointing out why it is problematic. Next, I will argue that those problems do not arise if we take Wittgenstein’s task as the clarification of philosophical pictures. I do this, first, by explaining Wittgenstein’s method using his argument concerning the Augustinian Picture in Philosophical Investigations and then pointing out that the same method can be identified in the crucial arguments in his philosophy of mathematics. Finally, in order to connect my interpretation with the current scholarship, I will explain the relation of my interpretation with those of New Wittgensteinian scholars. (shrink)

In this paper, I will investigate Wittgenstein’s idea about the context-sensitivity of utterance. It is the idea that there is a big gap between understanding a sentence in the sense of knowing the idioms and discerning the grammar in it, and what is said by using it in a particular context. Although context-sensitivity in this moderate sense is a familiar idea in Wittgensteinian scholarship, it has mainly been studied as an idea in “Wittgenstein’s philosophy of language.” However, Wittgenstein’s interest in (...) language is always connected with his interest in the treatment of philosophical problems. Therefore, what is lacking in those preceding studies is the study of the relation between Wittgenstein’s engagement with the idea of context-sensitivity and his philosophical therapy. Therefore, I shall investigate that relation and show that Wittgenstein’s philosophical method cannot be intelligible without taking context-sensitivity into consideration and Wittgenstein’s focus on context is deeply connected with his method for treating philosophers’ “pictures.” Below, I will examine recent debates on grammar, and argue that the standard interpretation is untenable once proper consideration is given to context-sensitivity. Next, I will argue that context-sensitivity is important because it gives us a good grasp of the process of a philosopher’s being caught in a picture by citing the discussion about mental process and about the Augustinian picture and rule-following in Philosophical Investigations. Finally, I will talk about the significance of my interpretation for contemporary arguments about philosophical methods. (shrink)

The aim of the paper is to give an account of Peter Winch's conception of persuasion. According to Winch, persuasive arguments are those carried out in order to let an interlocutor with a different world picture, and thus a different epistemology, see the point of our practices and beliefs. This involves convincing him of the fact that his way of thinking is neither unique nor better than other ones. Furthermore, given that there is no guarantee that one can arrive at (...) a complete understanding of alien practices, persuasion may, in some cases, aim at the impossible. (shrink)

Modifying a contrast introduced by Dixon, Stephen Mumford distinguishes between ‘partisan’ and ‘purist’ ways of watching sport. Recognising that the extreme partisan and extreme purist positions do not explain the nature of sports spectatorship, Mumford follows Dixon in adopting the idea of moderate partisanship. He outlines three theories of spectatorship designed to address the issue of the relationship between the partisan and the purist ways of viewing sport. The true perception theory regards the moderate fan as able to see the (...) event as it really is, rather than concentrating on an aspect. The mixture theory is the view that ‘the moderate partisan has both partisan and purist perceptions of sport in some mixed way’. The oscillation theory, which Mumford favours, holds that the moderate sports fan switches or oscillates between competitive and aesthetic ways of watching sport... (shrink)

Can we perceive others' mental states? Wittgenstein is often claimed to hold, like some phenomenologists, that we can. The view thus attributed to Wittgenstein is a view about the correct explanation of mindreading: He is taken to be answering a question about the kind of process mindreading involves. But although Wittgenstein claims we see others' emotions, he denies that he is thereby making any claim about that underlying process and, moreover, denies that any underlying process could have the significance it (...) is claimed to have for this debate. For Wittgenstein, the question is not “Is this perception?” but “What do we mean by ‘perception' here?” and that question is answered by investigating the grammar of the relevant concepts. That investigation, however, reveals similarities and differences between what we call “perception” here and elsewhere. Hence, Wittgenstein's answer to the question “Can we perceive others' mental states?” is yes and no: Both responses can be justified by appeal to different concepts of perception. Wittgenstein, then, has much to contribute to our understanding of mindreading, but what he has to contribute is nothing like the view typically attributed to him here. (shrink)

My essay explains and examines Anscombe's disagreement with Wittgenstein about what the Tractatus supposedly excludes. I also discuss her apparent disagreement with Geach about propositions that lack an intelligible negation. My discussion of these disagreements leads to the topic of Anscombe on the relation between the “business of thinking” and truth. I suggest that she takes the business of thinking to include thinking that helps to keep thinking on track. Since there is a tie between thinking truly and the business (...) of thinking being done well and since helping to keep thinking on track belongs to the business of thinking, helpings-of-thinking can be described as true. (shrink)

This paper explores the relevance of Wittgenstein’s early work for treatments of religion. The first section briefly outlines some different interpretive possibilities with respect to early Wittgenstein’s thinking. The following section explores the idea that what is important about early Wittgenstein’s work resides not in the meaning of the text as such, but in elements of his Jewish heritage. The third section outlines the immediate task that is undertaken in the body of the TLP. Central notions are those of mysticism (...) and logical form and the two concluding sections explore how these notions play a role in treatments of religion. This they do either by exhibiting parallels between themes in theology and themes in logic, or they do so by playing a role in assessing cosmological arguments in the philosophy of religion. (shrink)

Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for (...) example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, Mycielski’s approach). Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration. (shrink)