Many interpreters of the Tractatus accept that the book endorses an argument for simples based on the reflection that, since complexes exist only contingently, if names referred to complexes the propositions in which they figure would lack sense if their referents went out of existence. More specifically, most interpreters read 2.0211-2.0212 as putting forward this argument. My main goal in this paper is to attack this reading and to put forward an alternative. I argue that there is no good reason (...) for thinking that the Tractatus advances this argument. I argue that 2.0211-2, in particular, should not be read in this way, and put forward an alternative reading of the passage. (shrink)

The goal of this paper is to connect Rota's discussion of the Husserlian notion of Fundierung with Rota's project of giving combinatorics a foundation in his 1964 paper ‘On the foundations of combinatorial theory I’. Section 2 gives the basic tenets of this seminal paper. Sections 3 and 4 spell out the connections made there between Rota's philosophical writings and his mathematical achievements. Section 5 shows how these two developments fit into Rota's analysis of the place of combinatorics in mathematics.

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)

This volume draws connections between Wittgenstein's philosophy and the work of Saul Kripke, especially his Naming and Necessity. Saul Kripke is regarded as one of the foremost representatives of contemporary analytic philosophy. His most important contributions include the strict distinction between metaphysical and epistemological questions, the introduction of the notions of contingent a priori truth and necessary a posteriori truth and original accounts of names, descriptions, identity, necessity and realism. The chapters in this book elucidate the relevant connections between Kripke's (...) work and Wittgenstein, specifically concerning the standard meter, contingent apriori and rule-following. The contributions shed light on how Kripke's philosophical outlook was influenced by Wittgenstein, and how mainstream analytic philosophy and Wittgensteinian philosophy can fruitfully engage with one another. Kripke and Wittgenstein will be of interest to philosophers working on Wittgenstein, Kripke, and the history of analytic philosophy. (shrink)

Far from being unwelcome or impossible in a mathematical setting, indeterminacy in various forms can be seen as playing an important role in driving mathematical research forward by providing “sources of newness” in the sense of Hutter and Farías :434–449, 2017). I argue here that mathematical coincidences, phenomena recently under discussion in the philosophy of mathematics, are usefully seen as inducers of indeterminacy and as put to work in guiding mathematical research. I suggest that to call a pair of mathematical (...) facts a coincidence is roughly to suggest that the investigation of connections between these facts isn’t worthwhile. To say of this pair, “That’s no coincidence!” is to suggest just the opposite. I further argue that this perspective on mathematical coincidence, which pays special attention to what mathematical coincidences do, may provide us with a better view of what mathematical coincidences are than extant accounts. I close by reflecting on how understanding mathematical coincidences as generating indeterminacy accords with a conception of mathematical research as ultimately aiming to reduce indeterminacy and complexity to triviality as proposed in Rota Indiscrete thoughts, Birkhäuser, 1997). (shrink)

This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without (...) providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. (shrink)

In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...) character of any genuinely spatial scheme. I argue that if Wittgenstein rightly assumes that the simultaneous presence of sensible places in vision is a key condition for objectivity, he fails nevertheless to warrant the allegedly realistic character of the scheme employed in his own search for a phenomenological description of the visual field. (shrink)

Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is essential to clearly understand the meaning of probability statements. The interpretation of probability has excited nearly as much philosophical controversy as the interpretation of quantum mechanics. 20th century physicists have mostly adopted a frequentist conception. In this paper it is argued that we ought, instead, to adopt a logical or Bayesian (...) conception. The paper includes a comparison of the orthodox and Bayesian theories of statistical inference. It concludes with a few remarks concerning the implications for the concept of physical reality. (shrink)

Topical Themes in Argumentation Theory brings together twenty exploratory studies on important subjects of research in contemporary argumentation theory. The essays are based on papers that were presented at the 7th Conference of the International Society for the Study of Argumentation in Amsterdam in June 2010. They give an impression of the nature and the variety of the kind of research that has recently been carried out in the study of argumentation. The volume starts with three essays that provide stimulating (...) theoretical perspectives on argumentation. Subsequently, some views are explained on the intriguing topics of ‘dissensus’ and ‘deep disagreement’. After a discussion of three different approaches to the treatment of types of argumentation some classical themes from antique argumentation theory are revisited. The new research area of visual argumentation is explored in the next part. The volume concludes with three reports of experimental studies concerning argumentative discourse. The volume starts with three essays that provide stimulating theoretical perspectives on argumentation. Subsequently, some views are explained on the intriguing topics of ‘dissensus’ and ‘deep disagreement’. After a discussion of three different approaches to the treatment of types of argumentation some classical themes from antique argumentation theory are revisited. The new research area of visual argumentation is explored in the next part. The volume concludes with three reports of experimental studies concerning argumentative discourse. The volume starts with three essays that provide stimulating theoretical perspectives on argumentation. Subsequently, some views are explained on the intriguing topics of ‘dissensus’ and ‘deep disagreement’. After a discussion of three different approaches to the treatment of types of argumentation some classical themes from antique argumentation theory are revisited. The new research area of visual argumentation is explored in the next part. The volume concludes with three reports of experimental studies concerning argumentative discourse. (shrink)

Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It (...) discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes. (shrink)

Fei Xiaotong's thoughts on the Confucian system of interpersonal relationships actually indicated that the Confucian theory of social cooperation leads itself to an unsettled paradox, that is, there is a lack of universal theoretical construction in the Confucian moral system. Confucian theory does not extend beyond practical circumstances. Instead, its universal principles always disappear in specific circumstances. Because of its long established position in mainstream dialogue, Confucianism failed to reflect on its flaws, but this paradox has been revealed in the (...) face of modern challenges. (shrink)

The view of Wittgenstein as a ‘tragic’ philosopher of education is examined. Friesen’s claim rests on an interpretation of the way in which Wittgenstein uses the German term ‘Abrichtung’. This involves the claim that Wittgenstein saw training activities closely analogous to the breaking of an animal’s will. Close examination of various of the later texts of Wittgenstein and comparison of the original German with the English translation does not bear out this claim. Wittgenstein used ‘Abrichtung’ and related terms in his (...) own way and for his own purposes. The picture that emerges from an overview of Wittgenstein’s use of these terms is that he sees training as a variegated rather than a single kind of activity. (shrink)

Three kinds of knowledge usually recognised by epistemologists are identified and their relevance for curriculum design is discussed. These are: propositional knowledge, know-how and knowledge by acquaintance. The inferential nature of propositional knowledge is argued for and it is suggested that propositional knowledge in fact presupposes the ability to know how to make appropriate inferences within a body of knowledge, whether systematic or unsystematic. This thesis is developed along lines suggested in the earlier work of Paul Hirst. The different kinds (...) of know-how and their relationships are discussed and it is suggested that they occupy different places and different relationships in any curricular hierarchy. The changing role that knowledge by acquaintance plays within this hierarchy is also discussed. Implications of this account for the current National Curriculum and for curriculum design more generally are discussed, looking at History, Science and Design Technology as examples. (shrink)

The paper argues that an internal debate within Wittgensteinian philosophy leads to issues associated rather with the later philosophy of Martin Heidegger. Rush Rhees's identification of the limitations of the notion of a “language game” to illuminate the relation between language and reality leads to his discussion of what is involved in the “reality” of language: “anything that is said has sense-if living has sense, not otherwise.” But what is it for living to have sense? Peter Winch provides an interpretation (...) and application of Rhees's argument in his discussion of the “reality” of Zande witchcraft and magic in “Understanding a Primitive Society”. There he argues that such sense is provided by a language game concerned with the ineradicable contingency of human life, such as (he claims) Zande witchcraft to be. I argue, however, that Winch's account fails to answer the question why Zande witchcraft can find no application within our lives. I suggest that answering this requires us to raise the question of why Zande witchcraft “fits” with their other practices but cannot with ours, a question of “sense” which cannot be answered by reference to another language game. I use Joseph Epes Brown's account of Native American cultures (in Epes Brown 2001) as an exemplification of a form of coherence that constitutes what we may call a “world”. I then discuss what is involved in this, relating this coherence to a relation to the temporal, which provides an internal connection between the senses of the “real” embodied in the different linguistic practices of these cultures. I relate this to the later Heidegger's account of the “History of Being”, of the historical worlds of Western culture and increasingly of the planet. I conclude with an indication of concerns and issues this approach raises, ones characteristic of “Continental” rather than Wittgensteinian philosophy. (shrink)

Statements of degree appear to falsify basic doctrines in Tractatus Logico-Philosophicus. I offer a fresh formulation of the challenge and assess a solution proposed on Wittgenstein’s behalf by Sarah Moss. I find that Moss’s proposal fails. The proposal rides in part on novel interpretations of pronouncements by Wittgenstein on the nature of the elementary proposition. I find that the interpretations cannot be sustained but that Moss’s textual case hints at important and overlooked features of the Tractarian program. I develop Wittgenstein’s (...) comparison of propositions to measuring instruments and apply it throughout, showing that it captures philosophical commitments in Tractatus that otherwise tend to slip from view. (shrink)

The main question addressed by this article is this: How should one understand the role of the sentences of the Tractatus, given Wittgenstein’s statement that they are nonsensical? I begin with a presentation of three general principles of interpretation in order to avoid answering the question in an inappropriate way. I then move on to a short presentation and commentary on a selection of readings – namely, the ineffabilist, resolute and elucidatory ones – and elaborate the answers given by advocates (...) of these to the question explored here. I agree on many points with resolute and elucidatory readings: the Tractatus presents an austere conception of nonsense, and is not a book that seeks to present ontological or semantic theories. I point out, however, that these readings cannot fully explain the nature of Tractarian elucidations. Then I discuss those parts of the Tractatus which refer to the sentences of the book itself. The main proposal of my own approach is this: Tractarian elucidations should be construed as rules of translation, in that they show how to substitute certain expressions for others. They enable us to construct a notation in which everything that is expressible in ordinary language can be said perspicuously. (shrink)

I propose to sketch my views on several aspects of the philosophy of mathematics that I take to be especially relevant to philosophy as a whole. The relevance of my discussion would, I think, become more evident, if the reader keeps in mind the function of (the philosophy of) mathematics in philosophy in providing us with more transparent aspects of general issues. I shall consider: (1) three familiar examples; (2) logic and our conceptual frame; (3) communal agreement and objective certainty; (...) (4) the transcommunal universality of mathematics; (5) the big jump to the potential infinite; (6) the reconciliation of local creation with the hypothesis of discovery; (7) Platonism as realism plus conceptualism; (8) foundational studies and mathematical practice; and (9) the decomposition of philosophical disagreements. The views of Gödel and Wittgenstein are emphasized in order to add specificity to the discussions. (shrink)

The Adam Smith problem refers to a claimed inconsistency between the Theory of Moral Sentiments and the Wealth of Nations, regarding the portrayal of human nature in these two books. Previous research predominantly resolved the claimed inconsistency by uncovering virtuous, less selfish character traits in the Wealth of Nations. This article voices caution. I acknowledge – on methodological grounds – fundamental differences regarding the portrayal of human nature in Smith’s behavioral ethics, i.e. the Theory of Moral Sentiments, as compared with (...) Smith’s economic research. The key argument is that Smith’s two books address different research problems and hence do not, need not and cannot adopt the same view of human nature – for methodological reasons, so my argument. Adam Smith scholarship overlooked that Smith himself in considerable degrees understood “economic man” as a heuristic abstraction. I connect to the philosophies of science of Imre Lakatos and Karl Popper. (shrink)

In this paper, I will defend the claim that there are three existence properties: the second-order property of being instantiated, a substantive first-order property (or better a group of such properties) and a formal, hence universal, first-order property. I will first try to show what these properties are and why we need all of them for ontological purposes. Moreover, I will try to show why a Meinong-like option that positively endorses both the former and the latter first-order property is the (...) correct view in ontology. Finally, I will add some methodological remarks as to why this debate has to be articulated from the point of view of reality, i.e., by speaking of properties, rather than from the point of view of language, i.e., by speaking of predicates (for such properties). (shrink)

In his “The Foundations of Mathematics”, Ramsey attempted to marry the Tractarian idea that all logical truths are tautologies and vice versa, and the logicism of the Principia. In order to complete his project, Ramsey was forced to introduce propositional functions in extension (PFEs): given Ramsey's definitions of 1 and 2, without PFEs even the quantifier-free arithmetical truth that 1 ≠ 2 is not a tautology. However, a number of commentators have argued that the notion of PFEs is incoherent. This (...) response was first given by Wittgenstein but has been best developed by Sullivan. While I agree with Wittgenstein and Sullivan's common conclusion, I believe that even the most compelling of Sullivan's arguments is importantly mistaken and that Wittgenstein's remarks are too opaque to be left as the end of the matter. In this article I uncover the fault in Sullivan's argument and present an alternative criticism of PFEs which is Wittgensteinian in spirit without being too mystifying. (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)

One of the tasks that recent philosophy of psychiatry has taken upon itself is to extend the range of understanding to some of those aspects of psychopathology that Jaspers deemed beyond its limits. Given the fundamental difficulties of offering a literal interpretation of the contents of primary delusions, a number of alternative strategies have been put forward including regarding them as abnormal versions of framework propositions described by Wittgenstein in On Certainty. But although framework propositions share some of the apparent (...) epistemic features of primary delusions, their role in partially constituting the sense of inquiry rules out their role in helping to understand delusions. (shrink)

Great intuitions are fundamental to conjecture and discovery in mathematics. In this paper, we investigate the role that intuition plays in mathematical thinking. We review key events in the history of mathematics where paradoxes have emerged from mathematicians' most intuitive concepts and convictions, and where the resulting difficulties led to heated controversies and debates. Examples are drawn from Riemannian geometry, set theory and the analytic theory of the continuum, and include the Continuum Hypothesis, the Tarski-Banach Paradox, and several works by (...) Gödel, Cantor, Wittgenstein and Weierstrass. We examine several fallacies of intuition and determine how far our intuitive conjectures are limited by the nature of our sense-experience, and by our capacities for conceptualization. Finally, I suggest how we can use visual and formal heuristics to cultivate our mathematical intuitions and how the breadth of this new epistemic perspective can be useful in cases where intuition has traditionally been regarded as out of its depth. (shrink)

The aim of this paper is to restore the interdependent or complementary relationship between self and others against the universalistic one (as I call it) that Kant, for example, once insisted on, by reexamining the concept of so-called private language. I shall consider some views in speech act theory and pragmatics, since there has often been discussion about such a private occurrence as the speaker's sincerity. For example, Jürgen Habermas situates it in the speaker's internal nature as will be seen (...) later. In my opinion, alter ego is an ego because we can empathize (einfühlen) with it, and yet it is alter ego because it has some private experiences which we cannot perfectly comprehend. (shrink)

ABSTRACT Despite all fundamental divergences, the similarities formed between some interpretations of the later-Wittgenstein’s philosophy of religion and the tradition of Islamic Mysticism, can yet be philosophically recognized. These basic analogies are as follows: 1) The inextricability of belief and practice and the priority of practice over knowledge 2) The characterization of the core religious beliefs as the primal ground of man’s perception and understanding, in contrast to the view that considers fundamental religious beliefs as theoretical conclusions derived from purely (...) rational courses of reflection 3) A new practice-laden narrative of religious realism. Given that, one can even shed a new Wittgensteinian light on even the most abstract and metaphysical elements of the mystical worldview. If fundamental religious beliefs are interpreted not as metaphysical doctrines but as a set of descriptions arising from a specific form of practical life, then the ability to see a sort of transcendent and sacred unity in the whole universe will be based on a way of purposive engagement and wayfaring in the natural and social world. (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)

In the Tractatus Wittgenstein argued that there are metaphysical truths. But these are ineffable, for metaphysical sentences try to say what can only be shown. Accordingly, they are pseudo-propositions because they are ill-formed. In the Investigations he no longer thought that metaphysical propositions are pseudo-propositions, but argued that they are either nonsense or norms of descriptions. Popper criticized Wittgenstein’s ideas and argued that metaphysical truths are effable. Yet it is by now clear that he misunderstood Wittgenstein’s arguments and misguidedly thought (...) that Wittgenstein used the principle of verification for distinguishing empirical propositions from metaphysical propositions. Because Popper developed his philosophy in part as a critique of Wittgenstein’s philosophy, this invites the question of whether these misunderstandings have consequences for his own philosophy. I discuss this question and argue that Popper’s attempt to distinguish metaphysics and science with the aid of a criterion of testability is from Wittgenstein’s perspective misguided. The main problem facing Popper’s philosophy is that alleged metaphysical propositions are not theoretical propositions but rules for descriptions. If Wittgenstein’s ideas are correct, then metaphysical problems are not scientific but grammatical problems which can only be resolved through conceptual investigations. (shrink)

Here, the logical behaviour of negation in Wittgenstein's Tractatus is compared with Demos' account of denial. Even if we hold negation as a pure syntactical device, at least in some context, it brings a handful of complex semantic information – potentially an infinite amount. We advocate then the existence of at least two negations due to the existence of two different and non-reducible types of exclusion. The first negation is a Tractarian and classical one, based on the notion of contradiction, (...) whereas the second is a non-classical negation, based on the notion of contrariety. (shrink)

Many philosophers have held that it is not possible to experience a spatial object, property, or relation except against the background of an intact awareness of a space that is somehow ‘absolute’. This paper challenges that claim, by analyzing in detail the case of a brain-damaged subject whose visual experiences seem to have violated this condition: spatial objects and properties were present in his visual experience, but space itself was not. I go on to suggest that phenomenological argumentation can give (...) us a kind of evidence about the nature of the mind even if this evidence is not absolutely incorrigible. (shrink)

El artículo examina el pensamiento de Wittgenstein sobre el lenguaje del dolor en la primera y tercera persona. Se subrayan ciertas diferencias gramaticales importantes, según el típico método lingüístico de este filósofo, no sólo respecto a esas dos perspectivas, sino también con relación al uso de verbos cognitivos como “sentir” y “saber”. El examen de muchos textos sugiere ciertos puntos acerca de las relaciones entre las vivencias personales, la captación empática de las vivencias ajenas y su traducción conceptual. Una breve (...) comparación con algunos textos de Tomás de Aquino completa la propuesta de la existencia de un conocimiento no intencional. (shrink)

El presente trabajo explora la posible afinidad de método entre las obras de Walter Benjamin y Ludwig Wittgenstein. El intento por parte de Benjamin de desarrollar un nuevo método de representación histórica gravita en torno a la categoría de “origen”, la cual sostiene sus más importantes trabajos de investigación histórica. En paralelo al trabajo de Benjamin, Wittgenstein dedicó una especial atención al problema de una exposición filosófica de los fenómenos, en especial en sus investigaciones sobre el lenguaje, a través de (...) categorías como la “representación perspicua” o la “visión de aspectos”. La filiación común de la reflexión de ambos autores en la morfología de Goethe nos permitirá definir el perfil de un posible enfoque estético para la investigación filosófica, dirigida a captar la generalidad de los fenómenos sin renunciar a salvaguardar su singularidad única. (shrink)

The long‐standing issue of Wittgenstein's controversial remarks on Gödel's Theorem has recently heated up in a number of different and interesting directions [, , ]. In their , Juliet Floyd and Hilary Putnam purport to argue that Wittgenstein's‘notorious’ “Contains a philosophical claim of great interest,” namely, “if one assumed. that →P is provable in Russell's system one should… give up the “translation” of P by the English sentence ‘P is not provable’,” because if ωP is provable in PM, PM is (...) ω ‐inconsistent, and if PM is ω‐inconsistent, we cannot translate ‘P’as ’P is not provable in PM’because the predicate‘NaturalNo.’in ‘P’“cannot be…interpreted” as “x is a natural number.” Though Floyd and Putnam do not clearly distinguish the two tasks, they also argue for “The Floyd‐Putnam Thesis,” namely, that in the 1930's Wittgenstein had a particular understanding of Gödel's First Incompleteness Theorem. In this paper, I endeavour to show, first, that the most natural and most defensible interpretation of Wittgenstein's and the rest of is incompatible with the Floyd‐Putnam attribution and, second, that evidence from Wittgenstein's Nachla strongly indicates that the Floyd‐ Putnam attribution and the Floyd‐Putnam Thesis are false. By way of this examination, we shall see that despite a failure to properly understand Gödel's proof—perhaps because, as Kreisel says, Wittgenstein did not read Gödel's 1931 paper prior to 1942‐Wittgenstein's 1937–38, 1941 and 1944 remarks indicate that Gödel's result makes no sense from Wittgenstein's own perspective. (shrink)

I present a dilemma which depressive behavioral pathology poses for both Humean and non-Humean theories of motivation and value. Although the dilemma shows that neither theory can be considered adequate in its standard form, I argue that if the Humean theory is modified so as to embrace a richer notion of satisfaction than it currently does, it can solve the problem which depression poses for it and, thus, the dilemma can be avoided. Embracing a richer notion of satisfaction not only (...) solves this problem, it also extends the scope of the Humean theory in a potentially dramatic way, by extending the explanatory reach of moral psychology to issues often thought to fall outside its scope, namely, issues in moral psychopathology. (shrink)

This paper offers a reconstruction of Wittgenstein's discussion on inductive proofs. A "algebraic version" of these indirect proofs is offered and contrasted with the usual ones in which an infinite sequence of modus pones is projected.

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.

In this paper I demonstrate the connection between the single remark Wittgenstein made explicitly on Hans Vaihinger’s Die Philosophie des als ob and the remarks he made on Sir James George Frazer’s The Golden Bough. After a critical-genetic exposition of the relevant material, I offer an interpretation of that connection, which will require that I interpret the remark on the philosophy of “as if” relative to how Wittgenstein seems to regard Vaihinger’s fictionalism and relative to how Wittgenstein reads Frazer.

This paper discusses Wittgenstein's take on the problem of other minds. In opposition to certain widespread views that I collect under the heading of the “No Problem Interpretation,” I argue that Wittgenstein does address some problem of other minds. However, Wittgenstein's problem is not the traditional epistemological problem of other minds; rather, it is more reminiscent of the issue of intersubjectivity as it emerges in the writings of phenomenologists such as Husserl, Merleau-Ponty, and Heidegger. This is one sense in which (...) Wittgenstein's perspective on other minds might be called “phenomenological.” Yet there is another sense as well, in that Wittgenstein's positive views on this issue resemble the views defended by phenomenologists. The key to a proper philosophical grasp of intersubjectivity, on both views, lies in rethinking the mind. If we conceive of minds as essentially embodied we can understand how intersubjectivity is possible. (shrink)

A rather recent interpretation of quantum mechanics, known under the various names of consistent histories, decohering histories, or logical interpretation, has brought interpretation into a standard deductive theory and is now investigated in many places. A key difference with the Copenhagen interpretation is the status of classical physics, now derived completely from quantum principles in both its dynamical and logical aspects. After describing briefly this new interpretation in its essentials, leaving aside technical details, it is shown how its consequences in (...) epistemology differ drastically from the familiar outcomes of the Copenhagen interpretation, leading in particular to a well-defined theory of knowledge. Some more speculative philosophical consequences associated with the unsolved problem of actuality are also mentioned. (shrink)