In cognitive science, there is a tacit norm that phenomena such as cultural variation or synaesthesia are worthy examples of cognitive diversity that contribute to a better understanding of cognition, but that other forms of cognitive diversity (e.g., autism, attention deficit hyperactivity disorder/ADHD, and dyslexia) are primarily interesting only as examples of deficit, dysfunction, or impairment. This status quo is dehumanizing and holds back much-needed research. In contrast, the neurodiversity paradigm argues that such experiences are not necessarily deficits but rather (...) are natural reflections of biodiversity. Here, we propose that neurodiversity is an important topic for future research in cognitive science. We discuss why cognitive science has thus far failed to engage with neurodiversity, why this gap presents both ethical and scientific challenges for the field, and, crucially, why cognitive science will produce better theories of human cognition if the field engages with neurodiversity in the same way that it values other forms of cognitive diversity. Doing so will not only empower marginalized researchers but will also present an opportunity for cognitive science to benefit from the unique contributions of neurodivergent researchers and communities. (shrink)

Husserl’s notion of definiteness, i.e., completeness is crucial to understanding Husserl’s view of logic, and consequently several related philosophical views, such as his argument against psychologism, his notion of ideality, and his view of formal ontology. Initially Husserl developed the notion of definiteness to clarify Hermann Hankel’s ‘principle of permanence’. One of the first attempts at formulating definiteness can be found in the Philosophy of Arithmetic, where definiteness serves the purpose of the modern notion of ‘soundness’ and leads Husserl to (...) a ‘computational’ view of logic. Inspired by Gauss and Grassmann Husserl then undertakes a further investigation of theories of manifolds. When Husserl subsequently renounces psychologism and changes his view of logic, his idea of definiteness also develops. The notion of definiteness is discussed most extensively in the pair of lectures Husserl gave in front of the mathematical society in Göttingen (1901). A detailed analysis of the lectures, together with an elaboration of Husserl’s lectures on logic beginning in 1895, shows that Husserl meant by definiteness what is today called ‘categoricity’. In so doing Husserl was not doing anything particularly original; since Dedekind’s ‘Was sind und sollen die Zahlen’ (1888) the notion was ‘in the air’. It also characterizes Hilbert’s (1900) notion of completeness. In the end, Husserl’s view of definiteness is discussed in light of Gödel’s (1931) incompleteness results. (shrink)

Husserl’s theory of manifolds was developed for the first time in a very short form in the Prolegomena to his Logical Investigations, §§ 69–70 (pp. 248–53), then repeatedly discussed in Ideas I, §§ 71–2 (pp. 148–53), in Formal and Transcendental Logic, §§ 51–4 (pp. 142–54), and finally in the Crisis, § 9 (pp. 20–60). Husserl never lost sight of it: it was his idée fixe. He discussed this theme over forty years, expressing the same, in principle, ideas on (...) it in different terms and versions. His discussions of it, however, were always cut short and inconclusive, so that he never developed his theory of manifolds in detail. Main claim in this essay is that Husserl’s theory of manifolds is twofold. It is (1) a theory of theories, advanced in the good German tradition of Wissenschaftslehre, launched first by Bernard Bolzano. The latter, in turn, is an offspring of the ancient tradition of mathesis universalis, explored in the modernity by Descartes and Leibniz. Further, (2) the theory of manifolds is also a formal theory of everything. Its objective is to provide a systematic account of how the things in the world (its parts) hang together in wholes of quite different kind. It is to be noted that Husserl explicitly speaks about (1) and only implicitly about (2). In this paper we shall also show that the theory of everything is intrinsically connected with the theory of theories. (shrink)

This paper addresses the relation between the intelligible and the material world in the works of the Neoplatonic philosopher Damascius (ca. 460-ca. 538 AD), who uses the theory of the Platonic Ideas in order to discuss the evolution from the One to the Manifold. This relation arises through specific laws that lead to the development of a harmonious cosmic system. The vertical and the horizontal segmentation of metaphysical causes is implemented in the process of the generation of the empirical (...) world, which is nevertheless imperfect in the sense that it is an image of the metaphysical world and is subject to generation and decay. The metaphysical world constitutes a normative basis for the beings of the world of experience to the same extent in the ontological as in the aesthetic and ethical area. The vertical segmentation cannot be understood without the horizontal because in that case the generation of tangible beings, which are complex realities, would be implausible. At the same time, the horizontal segmentation without the vertical would result in inactive metaphysical causes. The simple fact that the empirical world exists excludes such alternatives. (shrink)

The dissertation analyzes the theory of "logical space" developed by Ludwig Wittgenstein in his Tractatus Logico-Philosophicus, I show how this idea represents a development of arguments first put forward by Hermann von Helmholtz, the physicist and physiologist. Helmholtz--instead of honouring Kant's distinction between on the one hand time and space, and, on the other, empirical qualia --stretched the Kantian spatial manifold to cover the other qualia as well: the qualia are also organized in manifolds; and this new, extended (...) manifold is the "space" of all possible human experience. He explained this a priori mesh as being a consequence of the physiological constitution of our bodies, and the physical constitution of the world in which they are situated. The subject is enclosed in an inner world whose structure is the network of possible sensation; outside of her is a world of unknown complexity; and separating the two is what Heinrich Hertz called the "no-man's-land" of sense-physiology, a border zone regulating all traffic between the two realms, common to both, yet proper to neither. ;Wittgenstein, in his Tractatus, adapted the picture-theories of Helmholtz and Hertz to his analysis of logic. He too was confronted with the problem of defining a field of possible experience, of possible facts: his analysis of Russell's and Frege's logical theories had led him to the conclusion that the fundamental properties of logic could not be accounted for without assuming such an a priori space. Thus he assimilated Russell's types to the dimensions of a manifold, the elements of which were his Sachverhalte, or elementary facts. The truth-functions of our logic are defined on top of this space: it is the basis on which all symbolic systems, including those of the natural sciences, are erected. (shrink)

The present paper develops arguments for the need to formulate the basic theories of physics in terms of a six-dimensional manifold, as opposed to the four-dimensional space-time continuum of conventional theory. Employing a purely classical approach, some of the dynamical consequences of such a formulation with regard to both electrodynamics and gravitation are evaluated. The results lead to interesting implications with regard to various questions such as the occurrence and importance of superluminal particles, the existence of two or more (...) physically distinct time scales, and the variation of the gravitational coupling constant G and the law of energy conservation. The analysis also suggests a physical interpretation of the additional coordinates that occur in the metric. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 537 tion of his three dialogues, and of course there are several references to Hume's intern= parable Dialogues. The bibliographic essay is useful with respect to general works and period pieces but unfortunately does little to help those who are seeking further help in understanding an individual writer. Professor France's work is an invaluable guide nevertheless for those who realize that authors, even philosophers, do not write (...) in a cultural vacuum. NICHOLASCAPALDI Queens College, CUNY Die Auseinandersetzung yon ldealismus und Realismus in Fichtes Wissenscha/tslehre. By Ingeborg Schfissler. (Frankfurt am Main: Vittorio Klostermann, 1972. Pp. 182. DM 24.50) For Fichte scholars this closely argued and well organized study of the foundations of Fichte's Wissenscha/tslehre is simply a must. American philosophers generally, however, will not become Fichte enthusiasts after reading this book. But this is not the fault of the authoress, but of Fichte. The key question which Dr. SchiJssler raises is, What role does realism play in Fichte's transcendental idealism? With this question in mind she examines Fichte's "foundation of the entire theory of science" of 1794-1795 and related matters, and the "theory of science" of 1804, together with the lecture of 1813. As Fichte originally saw the task of philosophy it was to explain theoretical, i.e., scientific, consciousness in terms of its own foundation. In 1804, however, the task was conceived as presentation of absolute truth; and in 1813, Fichte tried to understand the theory of science as a theory of appearances. Dr. Schfissler's thesis is that all three approaches are necessary; that, in fact, the changes in Fichte's conception of what a theory of science is or ought to be are grounded in the nature of transcendental philosophy itself. The book is not something one reads for relaxation; its sustained and detailed arguments militate against that. But it is a highly illuminating study, and well worth the effort of careful analysis. W. H. WE~mSTBR Florida State University The Manifold in Perception. Theories of Art.from Kant to Hildebrand. By Michael Pedro. (Oxford: Clarendon Press, 1972. Oxford-Warburg Studies) This is a survey of theories of art of Kant, Schiller, Herbart, Hildebrand, Schopenhauer and Fiedler. One may question the value of a re-statement of this sort, over simply another reading of the works of the authors themselves. Pedro's answer may be found in the Preface and again in a more extended statement in the conclusion. "German aesthetic theory from Kant through to the end of the nineteenth century seemed to contain valuable critical ideas quite absent from contemporary philosophical writing." Pedro's attempt has been to "re-locate notions in current use, like 'aesthetic detachment', within the sustained systematic discourse of which they were once part. This seemed a way both of uncovering a number of assumptions which have been constraining writing on art for some time, and of clarifying a number of crucial insights of earlier theorists." The author's account is almost entirely expository, its negative critical questions being limited almost exclusively to Herbart. Yet even here, when the author indicates that Herbart's theory of mind "exhibits certain very basic logical difficulties," he adds that 538 HISTORY OF PHILOSOPHY "they are difficulties which have a particular importance in the discussion of art.... " Podro's clarification is largely made through the asking of questions which the authors themselves did not ask and then suggesting answers to these questions in the light of what the authors did say. The two chapters on Schiller form the core of the book. Schiller's theory of art and aesthetic education of man is placed as central to Podro's account of an aesthetic tradition beginning with Kant and ending with Fiedler. The "tradition" detailed in Podro's book is described as having two underlying assumptions. The first was that any account of art must indicate distinctive or at least characteristic uses of our perception, uses which if not exclusive to art are at least necessary to it, and which are seen in art in a particularly striking way. The second assumption was that art involves our attitudes, in the sense of our serious purposes as... (shrink)

Alexander Dugin's The Theory of a Multipolar World is a cheerful and optimistic view of a future in which humanity will reach its highest development. However, it will not be the uniform humanity pictured by the globalizing and leveling schemers and manipulators. Instead, old artificial borders will be dissolved and new natural divisions installed. Mankind will blossom in its manifold manifestations, namely the distinct civilizations and the ethnoses that breathe their souls into them. Drawing from a variety of philosophies (...) from both the Right and Left, Dugin maps out the immediate goals and ultimate vision of this theory, and what is required to implement it. Multipolarity is the tapestry that creates a myriad of colorful potentialities rather than a single dead-end passage, whither an anonymous human mass is herded to languish till the end of days. According to Dugin, the Westphalian system of the sovereignty of nation-states has long since become obsolete and ceased to function. In its place will be erected a continental system of "large spaces" (in the Schmittian sense), where individuals are integrated in the social whole based on the insoluble bond of kinship and common tradition. It will be a time of high adventure, boundless curiosity and the rediscovery of what it truly means to be different and therefore able to think of unique solutions in lieu of standardized ones. (shrink)

The article deals with the lines along which manifold senses of horizonedness emerge and their reference to potentiality as a starting-point. The first section examines Gurwitsch's analyses of field-potentialities and margin-potentialities in the light of distinctions drawn by Husserl in terms of latency and patency. It is contended that Husserl's concept of latency encompasses both modes of potentiality. The second section shows how the world- horizon functions as a background- horizon and alternation- horizon conceived of as the two fundamental modes (...) of non-thematic consciousness. In this respect, an attempt is made to link this theme with Gurwitsch's description of the acquisition of the character of positional index as a worldly existent. The third section is concerned with how potentiality develops into an all-encompassing domain that can be anticipated as an ideal totality and into a pregiven ground, and outlines an approach to the complementarity of this threefold characterization. This development falls out of Gurwitsch's framework for the analysis of horizonedness. The article concludes with a characterization of the encasement-of-one-in-another of horizons. Reasons are suggested for the application of some ideas of Gurwitsch on thematic transformation to this sequence of levels. (shrink)

The paper outlines a structuralist unification between two existing relational theories of the self, i.e., Beni's Structural Realist theory of the Self and Gallese's Embodied Relational Self. Each one of these theories provides a structuralist account of some aspects of the self but leaves out some other aspects which are indispensable to a comprehensive account of the self. SRS accounts for the reflective aspects of the self, and ERS accounts for the environmental and social aspects of the self. In (...) this paper, I argue that when paired with one another, SRS and ERS could amend one another's shortcomings, without giving way to a non-relational conception of the self. I draw on neurology of the connection between Cortical Midline Structures and the mirror neuron system to inform my unifying proposal. I also show that an informational framework can underlie the union. (shrink)

In The Equilibrium Manifold, noted economic scholar and major contributor to the theory of general equilibrium Yves Balasko argues that, contrary to what many textbooks want readers to believe, the study of the general equilibrium model did not end with the existence and welfare theorems of the 1950s. These developments, which characterize the modern phase of the theory of general equilibrium, led to what Balasko calls the postmodern phase, marked by the reintroduction of differentiability assumptions and the application (...) of the methods of differential topology to the study of the equilibrium equation. Balasko's rigorous study demonstrates the central role played by the equilibrium manifold in understanding the properties of the Arrow-Debreu model and its extensions. Balasko argues that the tools of differential topology articulated around the concept of equilibrium manifold offer powerful methods for studying economically important issues, from existence and uniqueness to business cycles and economic fluctuations. After an examination of the theory of general equilibrium's evolution in the hundred years between Walras and Arrow-Debreu, Balasko discusses the properties of the equilibrium manifold and the natural projection. He highlights the important role of the set of no-trade equilibria, the structure of which is applied to the global structure of the equilibrium manifold. He also develops a geometric approach to the study of the equilibrium manifold. Applications include stability issues of adjustment dynamics for out-of-equilibrium prices, the introduction of price-dependent preferences, and aspects of time and uncertainty in extensions of the general equilibrium model that account for various forms of market frictions and imperfections. Special effort has been made at reducing the mathematical technicalities without compromising rigor. The Equilibrium Manifold makes clear the ways in which the postmodern" developments of the Arrow-Debreu model improve our understanding of modern market economies. (shrink)

Theory of Mind (ToM) or mentalization is the ability to understand and foresee the behavior referring to one's own and others' mental states (Premack & Woodruff, 1978; Wimmer & Perner, 1983). This capacity, which is considered the most representative mechanism of social cognition, is a multifaceted set of competences liable to influence--and be influenced by--a manifold of psychosocial aspects. Studies on typical and atypical/clinical development during life showed that ToM is frequently delayed (e.g. in deafness) or impaired in many (...) clinical conditions (e.g. Autism Spectrum Disorder, Attention Deficit Hyperactivity Disorder, Schizophrenia, Borderline Personality Disorder, Parkinson's Disease, Alzheimer's Disease) and, on the other hand, may not be unequivocally a positive experience. It is therefore possible to consider the existence of multiple kinds of Theory of Mind. In fact, ToM may vary along a quantitative and a qualitative continuum. As for the quantitative dimension, the continuum is constituted by the fluctuation between high and low levels of ToM ability in different clinical conditions. Along this continuum, impairment can mean "not enough" ToM (for example in Autism Spectrum Disorder) as well as "too much" ToM (for example in Schizophrenia and Borderline Personality Disorder). The qualitative dimension--highly interrelated with the quantitative one--regards the shift between adaptive (e.g. prosocial, nice ToM) vs. unadaptive (e.g. antisocial, nasty ToM) mental states content. The issue is discussed in light of recent evidence from outstanding researchers working on typical and atypical/clinical populations along the life-span. Findings from the fields of psychology, neuropsychology and neuroscience enrich the research topic argumentation"--Page 2. (shrink)

The concept of revolution marks the ultimate horizon of modern politics. It is instantiated by sites of both hope and horror. Within progressive thought, “revolution” often perpetuates entrenched philosophical problems: a teleological philosophy of history, economic reductionism, and normative paternalism. At a time of resurgent uprisings, how can revolution be reconceptualized to grasp the dynamics of social transformation and disentangle revolutionary practice from authoritarian usurpation? Eva von Redecker reconsiders critical theory’s understanding of radical change in order to offer a (...) bold new account of how revolution occurs. She argues that revolutions are not singular events but extended processes: beginning from the interstices of society, they succeed by gradually rearticulating social structures toward a new paradigm. Developing a theoretical account of social transformation, Praxis and Revolution incorporates a wide range of insights, from the Frankfurt School to queer theory and intersectionality. Its revised materialism furnishes prefigurative politics with their social conditions and performative critique with its collective force. Von Redecker revisits the French Revolution to show how change arises from struggle in everyday social practice. She illustrates the argument through rich literary examples—a ménage à trois inside a prison, a radical knitting circle, a queer affinity group, and petitioners pleading with the executioner—that forge a feminist, open-ended model of revolution. Praxis and Revolution urges readers not only to understand revolutions differently but also to situate them elsewhere: in collective contexts that aim to storm manifold Bastilles—but from within. (shrink)

The purpose of this paper is to explore the connection between change and the B-theory of time, sometimes also called the Scientific view of time, according to which reality is a four-dimensional spacetime manifold, where past, present and future things equally exist, and the present time and non-present times are metaphysically the same. I argue in favour of a novel response to the much-vexed question of whether there is change on the B-theory or not. In fact, B-theorists are (...) often said to hold a ‘static’ view of time. But this far from being innocent label: if the B-theory of time presents a model of temporal reality that is static, then there is no change on the B-theory. From this, one can reasonably think as follows: of course, there is change, so the B-theory must be false. What I plan to do in this paper is to argue that in some sense there is change on the B-theory, but in some other sense, there is no change on the B-theory. To do so, I present three instances of change: Existential Change, namely the view that things change with respect to their existence over time; Qualitative Change, the view that things change with respect to how they are over time; Propositional Change, namely the view that things (i.e. propositions) change with respect to truth value over time. I argue that while there is a reading of these three instances of change that is true on the B-theory, and so there is change on the B-theory in this sense, there is a B-theoretical reading of each of them that is not true on the B-theory, and therefore there is no change on the B-theory in this other sense. (shrink)

"An important contribution to contemporary jurisprudential debate and to legal thought more generally, Just Interpretations is far ahead of currently available work."--Peter Goodrich, author of Oedipus Lex "I was struck repeatedly by the clarity of expression throughout the book. Rosenfeld's description and criticism of the recent work of leading thinkers distinguishes his work within the legal theory genre. Furthermore, his own theory is quite original and provocative."--Aviam Soifer, author of Law and the Company We Keep.

This paper discusses the theory of knowledge based on the idea of dynamical space. The goal of this effort is to comprehend the knowledge that remains beyond the human domain, e.g., of the artificial cognitive systems. This theory occurs in two versions, weak and strong. The weak version is limited to knowledge in which retention and articulation are performed through the discourse. The strong version is general and is not limited in any way. In the weak version, knowledge (...) is represented by the trajectories of discourses in time, in a dynamical space called the discursive space, which has an arbitrary number of dimensions. Given space is used to represent a given part of knowledge. A manifold is introduced to represent knowledge with a wider scope. The strong version is an extrapolation of the weak version to cover all forms of knowledge, not necessarily human or manifesting in language. The use of dynamical space construction allows one to formalize knowledge as such. Such an effort requires us to initially consider knowledge as mainly a social and linguistic phenomenon, which also could be presented as a result of the evolution of the understanding of knowledge that took place in the 20th century. (shrink)

Action is a means of acquiring perceptual information about the environment. Turning around, for example, alters your spatial relations to surrounding objects and, hence, which of their properties you visually perceive. Moving your hand over an object’s surface enables you to feel its shape, temperature, and texture. Sniffing and walking around a room enables you to track down the source of an unpleasant smell. Active or passive movements of the body can also generate useful sources of perceptual information (Gibson 1966, (...) 1979). The pattern of optic flow in the retinal image produced by forward locomotion, for example, contains information about the direction in which you are heading, while motion parallax is a “cue” used by the visual system to estimate the relative distances of objects in your field of view. In these uncontroversial ways and others, perception is instrumentally dependent on action. According to an explanatory framework that Susan Hurley (1998) dubs the “Input-Output Picture”, the dependence of perception on action is purely instrumental: "Movement can alter sensory inputs and so result in different perceptions… changes in output are merely a means to changes in input, on which perception depends directly" (1998: 342). -/- The action-based theories of perception, reviewed in this entry, challenge the Input-Output Picture. They maintain that perception can also depend in a noninstrumental or constitutive way on action (or, more generally, on capacities for object-directed motor control). This position has taken many different forms in the history of philosophy and psychology. Most action-based theories of perception in the last 300 years, however, have looked to action in order to explain how vision, in particular, acquires either all or some of its spatial representational content. Accordingly, these are the theories on which we shall focus here. -/- We begin in Section 1 by discussing George Berkeley’s Towards a New Theory of Vision (1709), the historical locus classicus of action-based theories of perception, and one of the most influential texts on vision ever written. Berkeley argues that the basic or “proper” deliverance of vision is not an arrangement of voluminous objects in three-dimensional space, but rather a two-dimensional manifold of light and color. We then turn to a discussion of Lotze, Helmholtz, and the local sign doctrine. The “local signs” were felt cues for the mind to know what sort of spatial content to imbue visual experience with. For Lotze, these cues were “inflowing” kinaesthetic feelings that result from actually moving the eyes, while, for Helmholtz, they were “outflowing” motor commands sent to move the eyes. -/- In Section 2, we discuss sensorimotor contingency theories, which became prominent in the 20thcentury. These views maintain that an ability to predict the sensory consequences of self-initiated actions is necessary for perception. Among the motivations for this family of theories is the problem of visual direction constancy—why do objects appear to be stationary even though the locations on the retina to which they reflect light change with every eye movement?—as well as experiments on adaptation to optical rearrangement devices (ORDs) and sensory substitution. -/- Section 3 examines two other important 20th century theories. According to what we shall call the motor component theory, efference copies generated in the oculomotor system and/or proprioceptive feedback from eye-movements are used together with incoming sensory inputs to determine the spatial attributes of perceived objects. Efferent readiness theories, by contrast, look to the particular ways in which perceptual states prepare the observer to move and act in relation to the environment. The modest readiness theory, as we shall call it, claims that the way an object’s spatial attributes are represented in visual experience can be modulated by one or another form of covert action planning. The bold readiness theory argues for the stronger claim that perception just is covert readiness for action. -/- In Section 4, we move to the disposition theory, most influentially articulated by Gareth Evans (1982, 1985), but more recently defended by Rick Grush (2000, 2007). Evans’ theory is, at its core, very similar to the bold efferent readiness theory. There are some notable differences, though. Evans’ account is more finely articulated in some philosophical respects. It also does not posit a reduction of perception to behavioral dispositions, but rather posits that certain complicated relations between perceptual input and behavioral provide spatial content. Grush proposes a very specific theory that is like Evans’ in that it does not posit a reduction, but unlike Evans’ view, does not put behavioral dispositions and sensory input on an undifferentiated footing. (shrink)

It is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects', such as electrons. Their case would seem to be similar to that of certain mathematical 'objects', such as the minimum set of manifolds defining the dimensionality of an R -space. It is therefore at first sight surprising that there exists no branch (...) of mathematics, in which a third parity-relation, besides equality and inequality, is admitted; for this would seem to furnish an appropriate model for application to such instances as these. I hope, in this work, to show that such a mathematics in feasible, and could have useful applications if only in a limited field. The concept of what I here call 'indistinguishability' is not unknown in logic, albeit much neglected. It is mentioned, for example, by F. P. Ramsey [1] who criticizes Whitehead and Russell [2] for defining 'identity' in such a way as to make indistinguishables identical. But, so far as I can discover, no one has made any systematic attempt to open up the territory which lies behind these ideas. What we find, on doing so, is a body of mathematics, offering only a limited prospect of practical usefulness, but which on the theoretical side presents a strong challenge to conventional ideas. (shrink)

The stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’ They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, (...) they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning. Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today. Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime. (shrink)

The study is carried out in five chapters, with the first two offering a reconsideration of the function of the imagination in the Transcendental Deduction and Schematism of the first Critique. The last three follow the order of topics discussed by Kant in the third Critique in regard to judgments of taste, the sublime, and teleology; they conclude with an interpretation of "productive imagination" as a "model for the ideal of intellectual intuition". The comparison between "human and divine spontaneity" is (...) introduced in the first chapter, where Gibbons notes that while we have "Kant's explicit and repeated emphasis on the difference" between these, "in considering the similarity of these types of spontaneity," she wishes "to correct a possible imbalance in Kant's exposition": there are, she suggests, "formal similarities between these types of spontaneity". The main thrust of the first chapter is to respond to a particular reading of Kant—namely, to those unsympathetic interpreters who see in the Deductions an "imaginary subject of transcendental psychology" and also to those who give a "sympathetic reading" but do so in terms of an identification of "all aspects of synthesis with concept application," thereby reducing the "role of the transcendental synthesis of the imagination to that of unifying a manifold of intuition under a concept". Gibbons holds instead that the "theory of synthesis... focuses on the nature of human cognition and what is required for us to know anything about objects" and, further, that it presupposes "the broader function of the imagination as grounding the possibility of concept-application in the first place". (shrink)

We develop an intersection theory for definable Cp-manifolds in an o-minimal expansion of a real closed field and we prove the invariance of the intersection numbers under definable Cp-homotopies . In particular we define the intersection number of two definable submanifolds of complementary dimensions, the Brouwer degree and the winding numbers. We illustrate the theory by deriving in the o-minimal context the Brouwer fixed point theorem, the Jordan-Brouwer separation theorem and the invariance of the Lefschetz numbers under (...) definable Cp-homotopies. A. Pillay has shown that any definable group admits an abstract manifold structure. We apply the intersection theory to definable groups after proving an embedding theorem for abstract definably compact Cp-manifolds. In particular using the Lefschetz fixed point theorem we show that the Lefschetz number of the identity map on a definably compact group, which in the classical case coincides with the Euler characteristic, is zero. (shrink)

In this essay, our goal is to discover science in Martin Heidegger's Introduction to Metaphysics, lecture notes for his 1935 summer semester course, because, after all, his subject is metaphysica generalis, or ontology, and this could be construed as a theory of the human brain. Here, by means of verbatim quotes from his text, we attempt to show that indeed these lectures can be viewed as suggestion for an objective scientific theory of human perception, the human capacity for (...) deciphering phenomena, ie. hermeneutics in its broadest sense. His added notes from the 1953 edition, all of which are comments, not corrections, imply that he never abandoned these thoughts on metaphysics, despite all of his utterances about a need to overcome it, and their popular interpretations to that effect. In his presentation, he further develops the colorful and intuitive style, an hermeneutic language, that he had created in his earlier work Being and Time. Of human existence he speaks in such expressions as being-there -- ``Dasein" -- and being-in-the-world, the latter term no longer explicit in the 1935 lectures. The lectures can be read as a pre-scientific analysis of how man, being-there, perceives his environment, artfully managing to deal with the manifold challenges posed by the phenomenal structures of the universe. Man attentively recognizes and deciphers their pre-linguistic contents and, while trying to make sense of it all, puts into words his awareness. There are numerous passages in Heidegger's work where he in fairly concrete terms provides us with hints for a perceptive science that, as it turns out and is demonstrated below in this essay, can be explained in terms of recent advances in neuroscience. It would be implausible, even unthinkable, unimaginable, for there not to be found essential agreement between on one hand his philosophical insights gained by hermeneutics of Dasein, into how our brain functions to let us know what's happening & on the other hand, scientific discoveries obtained through anatomy, EEG, fMRI, TMS, electrode implants, etc, of brain structures & functions employed in perception of the momentary scene. A nexus between science and philosophy is provided in Heidegger's definitive treatment of the Logos, here interpreted as a structural version of Platonic forms (Burchard, 2014). This allows for neurolinguistic brain functions to serve as meta-context for Heidegger's being-in-the-world. The logical functions of Dasein's anatomical brain are performed by the logos machine, formerly the human soul, using top-down processing based on a global context, the noumenal cosmos which humans maintain internally. Heidegger's 1942/43 winter semester lectures Parmenides extend in unbroken fashion his 1935 work, proving that he never abandoned, as is widely claimed, his metaphysical avenue of thought. (shrink)

The concept of general equilibrium, one of the central components of economic theory, explains the behavior of supply, demand, and prices by showing that supply and demand exist in balance through pricing mechanisms. The mathematical tools and properties for this theory have developed over time to accommodate and incorporate developments in economic theory, from multiple markets and economic agents to theories of production.Yves Balasko offers an extensive, up-to-date look at the standard theory of general equilibrium, to (...) which he has been a major contributor. This book explains how the equilibrium manifold approach can be usefully applied to the general equilibrium model, from basic consumer theory and exchange economies to models with private ownership of production. Balasko examines properties of the standard general equilibrium model that are beyond traditional existence and optimality. He applies the theory of smooth manifolds and mappings to the multiplicity of equilibrium solutions and related discontinuities of market prices. The economic concepts and differential topology methods presented in this book are accessible, clear, and relevant, and no prior knowledge of economic theory is necessary.General Equilibrium Theory of Value offers a comprehensive foundation for the most current models of economic theory and is ideally suited for graduate economics students, advanced undergraduates in mathematics, and researchers in the field. (shrink)

In the usual description of space and time, particles are represented by continuous world lines. We replace these world lines by discrete rows of points, obtaining a locally finite, partially ordered set. The “distances” between points along these discrete world lines, and also the “distances” between different world lines, are measured not simply as the distances within the space-time manifold in which the partially ordered set happens to be embedded, but rather in terms of the partially ordered set itself. It (...) is found that variations in the density of points of the partially ordered set produce corresponding variations in the scale of “distances” within the set. These variations produce a gravitational effect which is similar to that of the general theory of relativity. (shrink)

The paper presents a novel version of universalism—the thesis according to which there are only universals, no individuals—which is cashed out in terms of an adverbial analysis of predication. According to the theory, every spatiotemporal occurrence of a universal U can be expressed by a sentence which asserts the existence of U adverbially modified by the spatiotemporal region at which it exists. After some preliminary remarks on the interpretation of natural language, a formal semantics for the theory is (...) first provided, along with an intended interpretation of its key metaphysical imports. Follow some commentaries on the spatiotemporal manifold and determinable properties. (shrink)

An attempt to determine the meaning and contents of the notion of dravya and distinguish between the two concepts of guna and paryaya. Cursorily also discusses notions of realtivity, continuity, divisibilty and negation. It presents an analytical account and a critical estimation of the methods of knowledge with an investigation into the nature and the logical evolution of the theory of manifoldness (anekantavada). The work has aimed throughout at a comparative treatment of the problems. Effort has been made to (...) avoid strained and far-fetched comparisons and contrasts and to treat criticisms and controversies in a constructive spirit. (shrink)

Kant is the last classical practitioner of foundationalist epistemology in the Cartesian tradition, a tradition which saw the major problem of the theory of knowledge as one of providing a metaphysical account of the way in which the subjective contents of the individual mind come to have indubitable objective reference. But he is also the inaugurator of a very different approach to epistemology, one that sees methodology or rules of cognitive procedure as fundamental in determining the objectivity of knowledge. (...) An examination of Kant's reconstruction of the traditional form-matter distinction and his application of it to the manifold of intuition in the Critique of Pure Reason brings out the transitional character of his philosophy with particular force, and shows the immense impact of his work on the central epistemological issues of representation, explanation, and justification. While Kant continues to employ the traditional term Vorstellung , he extends its signification beyond that of a subjective mental content to an intersubjectively shared scheme of description. Where he adopts scholastic usage in referring to categories as concepts, he does not regard them as highest genera, but interprets them as rules of connection, thereby providing a logical framework suitable for functional, rather than essentialist explanation. Finally, while retaining in his transcendental psychology the conception of mental activity derivative of the older empirical psychology, Kant still manages to distinguish successfully the previously conflated questions of the causal origins vs. the grounds of justification of knowledge. Consideration of subsequent developments in regard to these issues in the light of Kant's work not only lends a certain amount of support to pragmatic conceptions of the nature of knowledge and its justification, but also suggests some promising directions for future epistemological investigation along evolutionary lines. (shrink)

In this paper I describe a specific emotional reaction to the fact that we will cease to exist, namely existential dread, and I argue that the B-theory of time, according to which reality contains a four-dimensional spacetime manifold and the present time is metaphysically on a par with past and future times, cannot accommodate it. Some may see this as an advantage of the B-theory; some may see it as a problem for the view. My aim is not (...) to argue either for or against the B-theory, but merely to show that it is incompatible with a certain common emotion. The paper is split into three sections. I begin by introducing existential dread. Next, I show how existential dread fits into a widely accepted theory of emotion according to which emotions are intentional states susceptible of being both intelligible and correct, where an emotion is intelligible if, roughly, it makes sense; and is correct if, roughly, it fits its object. The core of the paper is the third section: in that section, I introduce the B-theory of time and I argue that it is incompatible with existential dread. (shrink)

Waxman has reversed the historical process and gone from Kant to Hume. In his previous book on Kant, Kant's Model of the Mind, it was pointed out that Hume's philosophy seemed to come to grief with the failure to account for the identity of the self, and this in turn was a consequence of Hume's inability to account for how the imagination is able to yield a consciousness of succession. There seemed no way to obtain either the unity, spatial and (...) temporal, in the objects perceived, or the unity of apperception in the perceiver. The problem of knowledge for Kant in many ways becomes simply the problem of how, from a manifold of entities spread out spatially and occurring in a temporally developing intuition, the mind is able to achieve the unity of apperception which, as Plotinus, Bayle, Leibniz, and perhaps even Hume when he recognized his failure to account for the unity of the self, all argued is essential to all thought. In trying to come to grips with this, Kant arrived at a transcendental idealism in which neither space nor time nor even sensations as ordinarily understood had any ground in the reality that transcends the only phenomenal empirical world. If Hume's failure led in Kant to a sort of empirical realism, it also led to the radical scepticism of the transcendental idealism. (shrink)

It is accepted that certain mereological concepts and phenomenological conceptualisations presented in Carl Stumpf’s Über den psychologischen Ursprung der Raumvorstellung and Tonpsychologie played an important role in the development of the Husserlian formal ontology. In the third Logical Investigation, which displays the formal relations between part and whole and among parts that make out a whole, one of the main concepts of contemporary formal ontology and metaphysics is settled: ontological dependence or foundation (Fundierung). My main objective is to display Stumpf’s (...) concepts of partial content, independent content, spatial wholes, sound wholes, and the different kinds of connection among parts, in particular, fusion (Verschmelzung). Second, I will show how Husserl improved this background, in particular with regards to the exact nature of the theory of manifolds (Mannigfaltigkeitslehre), in discussion with Georg Cantor, the father of set theory. Third, I will focus on Ingarden’s use of formal ontology and on the different modes of being that can be justified by appealing to the concept of ontological dependence in its Ingardenian variations. If my interpretation is adequate, it should be inferred that formal ontology is the operative theory of phenomenological philosophy, and this must be acknowledged in its full significance with respect to the supposed independence of the phenomenological method since 1913. A further consequence, not developed in this essay, is that formal ontology can be mathematised. (shrink)

Marxists tend to write not only with conviction, but with passion, flowing from an active commitment to the emancipation of mankind. In the hands of a dogmatist, such conviction and passion can serve to forge new chains. In the hands of a creative thinker, they can give wings to the freedom struggle. Mészáros' book is a "winger"--one of the most far-ranging books on the subject of Marx's theory of alienation since Lukács' seminal Geschichte und Klassenbewusstsein and his chapter on (...) alienation in Der junge Hegel. This is not at all surprising since Mészáros is a former student of, and assistant to, Lukács and freely acknowledges his intellectual indebtedness to his old teacher. The present work concentrates on a close examination of the various aspects of alienation as Marx dealt with them in the Paris Manuscripts of 1844. Mészáros makes clear, however, that the framework of interpretation and evaluation of the Paris Manuscripts is the totality of Marx's works. Within this context, the Manuscripts are presented as Marx's first great "synthesis in statu nascendi," in which he discovered the dialectic of alienated labor as the motive force in history, driving toward its own self-Aufhebung. Mészáros cites chapter and verse on the continuity of this original synthesis in the later works of Marx. Not only did Marx not abandon the concept of alienation after 1845, nor its centrality, but he did not, as has been often alleged, abandon the terms Entfremdung or Entäusserung either. Mészáros' justification for advancing the Marxian concept of alienation today is the bold assertion that the transcendence of labor's self-alienation is on the order of the day; it is the essential ingredient in rescuing mankind from self-destruction, and not a remote concept for the intellectual gratification of isolated intellectuals. Modern usage of the term 'alienation' has proliferated to the extent that it is used to apply to just about any and every manifestation of out-of-jointness between the individual and society, or between one individual and another. There is here a curious confirmation of Marx's thesis. His point was that capitalism inevitably extends alienation more and more pervasively into more and more aspects of life as it extends itself. Alienation is not a byproduct of capitalism; it is integral to the process of capitalism itself. From this, it is easy to derive the "necessity" of its transcendence. In addition to dealing with the origins and structure of Marx's theory of alienation, the author devotes separate chapters to the Economic Aspects, Political Aspects, Ontological and Moral Aspects, and the Aesthetic Aspects. The latter two chapters, in particular, display the influence of Lukács and the originality of Mészáros' points of departure. The last three chapters of the book take up The Controversy about Marx, The Individual and Society, and the Crisis of Education. Mészáros is sometimes unclear and stylistically ponderous, and he occasionally stretches Marx too much and too far, or gets pedantically over-involved in detail, but these are small flaws in a work which throws much light with rigorous scholarship on such an important subject in such a manifold of interrelated aspects.--H. B. (shrink)

Marxists tend to write not only with conviction, but with passion, flowing from an active commitment to the emancipation of mankind. In the hands of a dogmatist, such conviction and passion can serve to forge new chains. In the hands of a creative thinker, they can give wings to the freedom struggle. Mészáros' book is a "winger"--one of the most far-ranging books on the subject of Marx's theory of alienation since Lukács' seminal Geschichte und Klassenbewusstsein and his chapter on (...) alienation in Der junge Hegel. This is not at all surprising since Mészáros is a former student of, and assistant to, Lukács and freely acknowledges his intellectual indebtedness to his old teacher. The present work concentrates on a close examination of the various aspects of alienation as Marx dealt with them in the Paris Manuscripts of 1844. Mészáros makes clear, however, that the framework of interpretation and evaluation of the Paris Manuscripts is the totality of Marx's works. Within this context, the Manuscripts are presented as Marx's first great "synthesis in statu nascendi," in which he discovered the dialectic of alienated labor as the motive force in history, driving toward its own self-Aufhebung. Mészáros cites chapter and verse on the continuity of this original synthesis in the later works of Marx. Not only did Marx not abandon the concept of alienation after 1845, nor its centrality, but he did not, as has been often alleged, abandon the terms Entfremdung or Entäusserung either. Mészáros' justification for advancing the Marxian concept of alienation today is the bold assertion that the transcendence of labor's self-alienation is on the order of the day; it is the essential ingredient in rescuing mankind from self-destruction, and not a remote concept for the intellectual gratification of isolated intellectuals. Modern usage of the term 'alienation' has proliferated to the extent that it is used to apply to just about any and every manifestation of out-of-jointness between the individual and society, or between one individual and another. There is here a curious confirmation of Marx's thesis. His point was that capitalism inevitably extends alienation more and more pervasively into more and more aspects of life as it extends itself. Alienation is not a byproduct of capitalism; it is integral to the process of capitalism itself. From this, it is easy to derive the "necessity" of its transcendence. In addition to dealing with the origins and structure of Marx's theory of alienation, the author devotes separate chapters to the Economic Aspects, Political Aspects, Ontological and Moral Aspects, and the Aesthetic Aspects. The latter two chapters, in particular, display the influence of Lukács and the originality of Mészáros' points of departure. The last three chapters of the book take up The Controversy about Marx, The Individual and Society, and the Crisis of Education. Mészáros is sometimes unclear and stylistically ponderous, and he occasionally stretches Marx too much and too far, or gets pedantically over-involved in detail, but these are small flaws in a work which throws much light with rigorous scholarship on such an important subject in such a manifold of interrelated aspects.--H. B. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Phenomenalistic Interpretation of Kant's Theory of Knowledge PAUL MARHENKEt Introduction THw FOLLOWINGARTXCLEwas one of two previously unpublished papers found in the effects of the late Paul Marhenke (1899-1952), who was a professor at the University of California from 1927 until his death. Because of the intrinsic interest of the paper, the editors of the Journal o/the History of Philosophy have kindly consented to publish it. I have (...) made a few revisions in the manuscript in order to prepare it for publication. These revisions do not affect the sense of the argument in any way, being confined mainly to the expansion of abbreviations, the correction of typographical mistakes, and so on. It is not known when this paper was written, or for what occasion. Professor W. R. Dennes, who wrote the biographical sketch of Paul Marhenke which is included in the In Memoriam volume published by the University of California, informs me that he was unaware of the existence of this paper. Professor Dennes writes in this connection: I can only say that ever since our year of graduate study together (1919-19207) Paul and I often discussed the question how far Kant's apparatus of Categories and so on merely expressed a strong confidence in various sorts of regularities in phenomena; and if the apparatus really grounded the confidence, did it do so by a question-begging procedure of, for example, assuming causal regularity, and then grounding and guaranteeing such regularity by a "deduction" of the category of causation. In our discussions that went on, off and on, for thirty years, Paul at various times took various positions--all interesting-and I often urged him to write out his views on the matter. I wish I knew at which stage he did write them out, but I do not. This was one subject upon which I think Paul changed his mind a good deal in the course of his years of study and teaching. Paul Marhenke's main interests in philosophy lay in epistemology and particularly in the realist-phenomenalist issue which he here discusses in the context of Kant's philosophy. For those readers who will be making their [47] 48 HISTORY OF PHILOSOPHY first acquaintance with his work, this paper will provide an impressive illustration of the subtlety of his mind and of the care with which he drew distinctions. For those of us who were familiar with the cast of his mind, former students and colleagues alike, it will evoke the man himself, with his insistence upon rigor and precision as viae mediae toward an understanding of philosophical issues--AvRuM STROLL Two CURRENTSRUN through the Kantian theory of knowledge, one subjective, the other objective. These two currents follow very often in extreme proximity, so that we find Kant speaking in the same paragraph or even in successive sentences of the object of knowledge as being nothing but a synthesis of representations, i.e., sensations, and as being distinct from those sensations and merely represented by them in the individual mind of the perceiver. The former position is indistinguishable from Berkeleyan subjectivism as far as the existential status of the objects of immediate awareness is concerned; the world perceived is merely a subjective representation of the real world of things in themselves. The argument by which this position is reached presupposes, however, the truth of the realistic assumption which is denied in the conclusion based on the argument. For the argument presupposes the causal theory of perception with its realistic presupposition of real objects, sense-organs, nerves, a brain, etc. According to Kant sensations arise in the mind due to the impinging of physical stimuli on our senseorgans. Henceforth, however, it is denied that we perceive anything but these sensations and the truth of the realistic premises on which the conclusion is based must therefore be denied. The manifold of sensations constitutes the originally given material of the mind. The question to which Kant now attempts to give an answer is how this manifold becomes organized into a world of objects. This answer is given in the Transcendental Deduction of the Categories. The Kantian solution of the problem is a failure if for no... (shrink)