Claims that our species is an “evolutionary success” typically do not feature prominently in academic articles. However, they do seem to be a recurring trope in science popularization. Why do we seem to be attracted to viewing human evolution through the lense of “success”? In this chapter we discuss how evolutionary success has both causal-descriptive and ethical-normative components, and how its ethical status is ambiguous, with possible hints of anthropocentrism. We also place the concept of “success” in a wider context (...) of biological thought, contrasting it with two other value-laden concepts: evolutionary progress and human uniqueness. Claiming the human species to be an evolutionary success is ostensibly grounded in metrics such as the dominance or the size of the human population, but often goes beyond this, suggesting that humans are a unique species or the pinnacle of evolutionary progress. (shrink)

One of the aims of the encyclical "Laudato Si’" is to help us “marvel at the manifold connections existing among creatures”, to show how we are also involved, and to motivate us thereby to care for our common home. Are there new dimensions of beauty available to us today because of recent advances in biology? In this paper I seek to answer this question by first recalling the basic criteria for beauty, as expressed by Aristotle and Aquinas, and then (...) evaluating their applicability as regards three ways in which some prominent twentieth century philosophers of biology have sought to overcome the limitations of reductionism. The overall argument refers especially to the works of Jakob von Uexküll and Georges Canguilhem. The results indicate that harmony, proportion, and integrity in the natural order should be more evident than ever before, especially as regards the way the organism and its environment codetermine each other. This insight allows a deeper appreciation of the message of "Laudato Si’". (shrink)

This study purports a unifying view of the ontology of mathematics and fiction presented in Husserl’s 1894 manuscript “Intentional Objects” [Intentionale Gegenstände] in relation to his theory of manifolds. In particular, I clarify that Husserl’s argument supposes deductive systems of mathematical theories and fictional work as well as their “correlates,” which are mathematical manifolds in the former cases. This unifying view concretizes the concept of manifolds as an ontological concept that is not bound to mathematics. Although mathematical and fictional objects (...) differ in whether they are purely formal or materially filled, the concept of manifolds can be extended to admit materially filled objects, thus encompassing the two into the unitary theory of manifolds. By contrast, reviewing the subsequent developments of Husserl’s theory of manifolds naturally leads to restricting its concept to be strictly formal. This notion is consistent with the view that describes manifolds as forms of worlds and states of affairs; however, I suggest that the concept of the manifold is more fundamental than the concept of the world and state of affairs. (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)

We discuss central aspects of history of the concept of an affine differentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

Does inner sense, like outer sense, provide inner sensations or, in other words, a sensory manifold of its own? Advocates of the disparity thesis on inner and outer sense claim that it does not. This interpretation, which is dominant in the preexisting literature, leads to several inconsistencies when applied to Kant’s doctrine of inner experience. Yet, while so, the parity thesis, which is the contrasting view, is also unable to provide a convincing interpretation of inner sensations. In this paper, (...) I argue that this deadlock can be traced back to an inadequate understanding of inner sense shared by both sides. Drawing upon an analysis of the notion of obscure representations, I offer an alternative interpretation of inner sense with a special regard to self-affection, apprehension, and attention. From this basis, I will infer that outer sense delivers sensory content that is initially and intrinsically unaccompanied by phenomenal consciousness; inner sense contributes by endowing such content with phenomenal consciousness. Therefore, phenomenal qualities can be regarded as the sensory manifold of inner sense. This alternative interpretation solves the long-standing dispute concerning inner sensations and would further illuminate Kant’s notion of inner experience. (shrink)

Cross-cultural comparisons face several methodological challenges. In an attempt at resolving some such challenges, Nathan Sivin has developed the framework of “cultural manifolds.” This framework includes all the pertinent dimensions of a complex phenomenon and the interactions that make all of these aspects into a single whole. In engaging with this framework, Anna Akasoy illustrates that the phenomena used in comparative approaches to cultural and intellectual history need to be subjected to a continuous change of perspectives. Writing about comparative history, (...) Warwick Anderson directs attention to an articulation between synchronic and diachronic modes of inquiry. In addition, he asks: If comparative studies require a number of collaborators, how does one coordinate the various contributors? And how does one ensure that the comparison is between separate entities, without mutual historical entanglement? Finally, how does comparative history stack up against more dynamic approaches, such as connected, transnational, and postcolonial histories? Gérard Colas, for his part, claims that comparisons cannot allow one to move away from the dominant Euroamerican conceptual framework. Should this indeed be the case, we should search for better ways of facilitating a “mutual pollination” between philosophies. Finally, Edmond Eh first asserts that Sivin fails to recognize the difference between comparisons within cultures and comparisons between cultures. He then argues that the application of generalism is limited to comparisons of historical nature. (shrink)

This paper proposes a new classification algorithm for the partitioning of a conceptual space. All the algorithms which have been used until now have mostly been based on the theory of Voronoi diagrams. This paper proposes an approach based on potential theory, with the criteria for measuring similarities between objects in the conceptual space being based on the Newtonian potential function. The notion of a fuzzy prototype, which generalizes the previous definition of a prototype, is introduced. Furthermore, the necessary conditions (...) that a natural concept must meet are discussed. Instead of convexity, as proposed by Gärdenfors, the notion of geodesically convex sets is used. Thus, if a concept corresponds to a set which is geodesically convex, it is a natural concept. This definition applies, for example, if the conceptual space is an Euclidean space. As a by-product of the construction of the algorithm, an extension of the conceptual space to d-dimensional Riemannian manifolds is obtained. (shrink)

the purpose of this paper is to o er a logico‐philosophical critical overview of the theory of multiple realities (tWr). the paper is divided into three sections. In the rst section I present a brief history of the development of some ideas, which combined together form the conceptual amework of the theory in question, whose main thesis is that there is more than one reality. In the second part I present (and try to address) some interpretations of tWr, which can (...) be described as: ontological; epistemological; esthetical; logical ad mixed interpretations. When do‐ ing so, a special emphasis is laid on the presentation of an explication of tWr based on theory of models, an explication authored by teresa Kostyrko. this explication rests on a conditional recognition of the particular ‘realities’ of Chwistek’s theory as proper models (i.e. those, which ful ll the condition of the identity of meaning of theory’s fundamental notions) of the theories of reality, with the provision that such models are indeed constructible. In the last section of my paper I propose a preliminary appraisal of the tWr as well as a way to reengineer this theory in order to avoid some of its di culties. By appealing to Kostyrko’s idea on one hand and the spirit Quinean ontological relativism on the other, I wish to argue as follows: ‘reality’ is the name of the set comprising all meanings of the term ‘reality’; under particular conditions these meanings can be arranged in a theory, which posseses a proper model (scienti c discourse, some forms of the common talk); model proper designate by de nition classes of objects, which we regard as existent on the grounds of a given theory. the above set of theses forms the core of a concept, which I propose to call the ‘manifold reality’ in order to di erentiate it om tWr, the development of which theory it is, as well as its modi cation towards a new kind of ontology. (shrink)

By extending Husserl’s own historico-critical study to include the conceptual mathematics of more contemporary times – specifically category theory and its emphatic development since the second half of the 20th century – this paper claims that the delineation between mathematics and philosophy must be completely revisited. It will be contended that Husserl’s phenomenological work was very much influenced by the discoveries and limitations of the formal mathematics being developed at Göttingen during his tenure there and that, subsequently, the rôle he (...) envisaged for his material a priori science is heavily dependent upon his conception of the definite manifold. Motivating these contentions is the idea of a mathematics which would go beyond the constraints of formal ontology and subsequently achieve coherence with the full sense of transcendental phenomenology. While this final point will be by no means proven within the confines of this paper it is hoped that the very fact of opening up for the possibility of such an idea will act as a supporting argument to the overriding thesis that the relationship between mathematics and phenomenology must be problematised. (shrink)

Manifold expressions of a particular critique appear throughout Søren Kierkegaard’s pseudonymous corpus: for Kierkegaard and his pseudonyms faith is categorically not a first immediacy, and it is certainly not the first immediate, the annulment of which concludes the first movement of Hegelian philosophy. Kierkegaard’s pseudonyms make it clear that he holds the Hegelian dogmaticians responsible for the promulgation of this misconception, but when Kierkegaard’s journals and papers are consulted another transgressor emerges: the renowned anti-idealist F.D.E. Schleiermacher. I address the (...) extent to which this particular indictment is justified; over-against Gerhard Schreiber, I argue that this characterization of Schleiermacher’s view of religion is indeed a de facto critique. I begin by presenting and demonstrating the ubiquity of the phenomenon at the heart of Schleiermacher’s conception of perfect God-consciousness, then proceed to apply criticisms raised by Kierkegaardian pseudonyms Judge William, Vigilius Haufniensis, Johannes Climacus, and Anti-Climacus, supplemented with concerns raised by Kierkegaard himself, in order to demonstrate that these criticisms do indeed apply to and problematize Schleiermacher’s view. (shrink)

Humean accounts of laws are often contrasted with governing accounts, and recent developments have added pragmatic versions of Humeanism. This paper offers Mitchell's pragmatist, perspectival account of laws as a third option. The differences between these accounts come down to the role of modality. Mitchell's bottom-up account allows for subtle gradations of modal content to be conveyed by laws. The perspectival character of laws is not an accident or something to be eventually eliminated - it is part of how this (...) modal content is conveyed. I conclude with a discussion of the metaphysical commitments in Humeanism as requiring a perspectiveless view of the manifold from outside, and how Mitchell's situated account is better able to account for the substantive notion of possibility involved in scientific laws. (shrink)

In the Critique of Pure Reason and elsewhere, Kant uses the term ‘object’ in various ways and often without clearly signaling its different meanings. As a result, it is hard to gauge the extent to which Kant’s account of the object of cognition breaks new ground. In this article, I take the Critique to establish what is required to generate an object of cognition per se soleley by examining the various ways in which the human mind can objectify the content (...) of its representations. To clarify this endeavor, I distinguish four different ways in which the term ‘object’ is used in the Critique, namely, to refer to (1) material things, (2) the content of any type of thought, (3) the mind-immanent correlate of a cognition in the broad sense of the term, and (4) the mind-immanent correlate of a cognition in the strict sense of the term. On my reading, the fourth meaning of the term ‘object’ is key to the Transcendental Deduction and completes Kant’s unprecedented conception of the cognitive acts by means of which the human mind produces objects of cognition out of a manifold of representations. (shrink)

Imaginative representations are crucial to the generation of action--both pretense and plain action. But well-known theories of imagination on offer in the literature [1] fail to describe how perceptually-formatted imaginings (mental images) and motor imaginings function in the generation of action and [2] fail to recognize the important fact that spatially rich imagining can be integrated into one's perceptual manifold. In this paper, I present a theory of imagining that shows how spatially rich imagining functions in the generation of (...) action. I also describe the imaginative structures behind two under-explored forms of action: semi-pretense and pretense layering. In addition, I suggest that my theory of imagining meshes better than the competitors with current work in cognitive and affective neuroscience. (shrink)

When attempting to capture the concept of enlightenment that underlies and motivates philosophical (and political and scientific) developments in the 18th century, historians of philosophy frequently rely upon a needlessly but intentionally exclusive account. This, namely, is the conception of enlightenment first proposed by Kant in his famous essay of 1784, which takes enlightenment to consist in the “emergence from the self-imposed state of minority” and which is only possible for a “public” to attain as a result of the public (...) use of reason, a privilege enjoyed by citizens and exemplified in the activity of the scholar. That women, among other groups, did not hold the status of citizens and did not enjoy access to the institutions or training that might gain them recognition as scholars is apparently not a concern for Kant, as he notes that the enlightened condition is likely out of reach anyway for “by far the greatest part of humankind (including the entire fair sex)” (AA 8:35). This naturally leads one to wonder what a history of this period could look like when considered from the perspective of a different, more inclusive conception of enlightenment, and in this chapter I propose to conduct an experiment of sorts just along these lines. As opposed to Kant’s exclusionary conception, I will instead take that proposed by his distinguished contemporary, Moses Mendelssohn, as my starting point. In addition to offering a conception of enlightenment distinctive both for its wide scope and progressive character, Mendelssohn’s has the advantage, or so I will show, of bringing the manifold intellectual contributions of a diverse set of women into focus, though it does more than this in that it also reveals these women to actively and critically engage with key aspects of Mendelssohn’s and others’ philosophical views. (shrink)

The clean separation between manifold phenomena and a systematic order that prevails in them is a basic feature of the rational-scientific orientation system. The first authoritative formulation of this premise is found in Plato. His discussion of constitutive forms of world events has initiated a broad development in the history of philosophy, which is also effective today in the preference for reason-guided analyses of often confusing circumstances. The authors of this volume address the lasting relevance of this idea within (...) two interrelated areas of research, namely Plato scholarship and contemporary Platonism. Of particular interest is the relationship between Plato and Wittgenstein. Following this overall idea, this volume is divided into three sections: Plato scholarship, Platonism, and Plato and Wittgenstein. As the contributions show, Platonism proves to be not only a purely historical-exegetical field of research but rather a fruitful stimulus for contemporary discussions on logical, linguistic, and social topics. (shrink)

Relativity theory is often said to support something called ‘the four-dimensional view of reality’. But there are at least three different views that sometimes go by this name. One is ‘spacetime unitism’, according to which there is a spacetime manifold, and if there are such things as points of space or instants of time, these are just spacetime regions of different sorts: thus space and time are not separate manifolds. A second is the B-theory of time, according to which (...) the past, present, and future are all equally real and there is nothing metaphysically special about the present. A third is perdurantism, according to which persisting material objects are made up of different temporal parts located at different times. We sketch routes from relativity to unitism and to the B-theory. We then discuss some routes to perdurantism, via the B-theory and via unitism. (shrink)

In a recent article, Ned Markosian gives an argument against four-dimensionalism understood as the view that time is one of four identical dimensions that constitute a single four-dimensional manifold. In this paper, I show that Markosian attacks a straw man as his argument targets a theory known to be false on empirical grounds. Four-dimensionalism rightly conceived in no way entails that time is identical to space. I then address two objections raised by Markosian against four-dimensionalism rightly conceived.

The claim that ―concepts serve as rules for the synthesis of representations‖ is understood by the mainstream of Kant‘s scholarship as if categories and concepts, in general, are conditions for the constitution of objects out of the manifold of sensations devoid of reference. That is the claim that I wish to question here. The claim comes in different flavors and formulations. Still, none of them are relevant here. I aim to provide an alternative account for the claim that ―the (...) representation makes the object possible.‖ I argue that the traditional view represents a solution to what I call the pseudo-problem of intentionality, namely to account for how a representation of something emerges out of a manifold of sensations devoid of reference. Yet, the intentionality problem is a misunderstanding of what I call the recognition thesis: the role of concepts is to provide the rules for the (mind-dependent) recognition (Erkenntnis) of the mind-independent existence of transcendental objects (noumena). ―The representation makes the object possible in the relevant sense that only by means of concepts can we recognize that what is sense-dependently represented actually exists mind-independently as transcendental objects or noumena in the negative sense. My view is embedded in the framework of what today is called ―Kantian Nonceptualism‖. Still, my view is neither a simple re-statement of Kantian Nonconceptualism nor depends on it. It is independently grounded on what Kant calls ―Erkenntnis‖. (shrink)

When a loved one dies, it is common for the bereaved to feel profoundly lonely, disconnected from the world with the sense that they no longer belong. In philosophy, this experience of ‘loss and loneliness’ has been interpreted according to both a loss of possibilities and a loss of the past. But it is unclear how these interpretations apply to the distinctive way in which loss and loneliness manifest in old age. Drawing on the phenomenological analyses of old age given (...) by de Beauvoir and Améry, I consider how the diminishment of the capacity for projection and recollection complicate recent interpretations of loss and loneliness, whilst nevertheless reinforcing the conclusion that in old age subjectivity is necessarily impoverished. Developing a critical stance on de Beauvoir and Améry’s underlying conception of subjectivity, I turn to Levinas in considering whether or not there is a way to reimagine subjectivity such that the estrangement and alienation of older adults might be ameliorated rather than exacerbated. Grounded in the passive body-in-itself rather than the self-transcending capacity of the body-for-itself, I suggest it becomes possible to reconceptualise the experience of loss and loneliness in old age; both in terms of what is lost and what needs to be restored if older adults are to be helped to find themselves at home in the world in the midst of, and indeed because of, manifold loss. (shrink)

I criticize Lockwood’s solution to the “paradoxes” of time travel, thus endorsing Lewis’s more conservative position. Lockwood argues that only in the context of a 5D space-time-actuality manifold is the possibility of time travel compatible with the Autonomy Principle (according to which global constraints cannot override what is physically possible locally). I argue that shifting from 4D space-time to 5D space-time-actuality does not change the situation with respect to the Autonomy Principle, since the shift does not allow us to (...) have a coincidence-free local dynamical theory. (shrink)

The paper considers the symmetries of a bit of information corresponding to one, two or three qubits of quantum information and identifiable as the three basic symmetries of the Standard model, U(1), SU(2), and SU(3) accordingly. They refer to “empty qubits” (or the free variable of quantum information), i.e. those in which no point is chosen (recorded). The choice of a certain point violates those symmetries. It can be represented furthermore as the choice of a privileged reference frame (e.g. that (...) of the Big Bang), which can be described exhaustively by means of 16 numbers (4 for position, 4 for velocity, and 8 for acceleration) independently of time, but in space-time continuum, and still one, 17th number is necessary for the mass of rest of the observer in it. The same 17 numbers describing exhaustively a privileged reference frame thus granted to be “zero”, respectively a certain violation of all the three symmetries of the Standard model or the “record” in a qubit in general, can be represented as 17 elementary wave functions (or classes of wave functions) after the bijection of natural and transfinite natural (ordinal) numbers in Hilbert arithmetic and further identified as those corresponding to the 17 elementary of particles of the Standard model. Two generalizations of the relevant concepts of general relativity are introduced: (1) “discrete reference frame” to the class of all arbitrarily accelerated reference frame constituting a smooth manifold; (2) a still more general principle of relativity to the general principle of relativity, and meaning the conservation of quantum information as to all discrete reference frames as to the smooth manifold of all reference frames of general relativity. Then, the bijective transition from an accelerated reference frame to the 17 elementary wave functions of the Standard model can be interpreted by the still more general principle of relativity as the equivalent redescription of a privileged reference frame: smooth into a discrete one. The conservation of quantum information related to the generalization of the concept of reference frame can be interpreted as restoring the concept of the ether, an absolutely immovable medium and reference frame in Newtonian mechanics, to which the relative motion can be interpreted as an absolute one, or logically: the relations, as properties. The new ether is to consist of qubits (or quantum information). One can track the conceptual pathway of the “ether” from Newtonian mechanics via special relativity, via general relativity, via quantum mechanics to the theory of quantum information (or “quantum mechanics and information”). The identification of entanglement and gravity can be considered also as a ‘byproduct” implied by the transition from the smooth “ether of special and general relativity’ to the “flat” ether of quantum mechanics and information. The qubit ether is out of the “temporal screen” in general and is depicted on it as both matter and energy, both dark and visible. (shrink)

Born 80 years ago, Continental Philosophy is on its last legs. Its extraordinary career has been helped along by an almost total absence of interest on the part of analytic or other exact philosophers in what the Australian philosopher David Stove calls "the nosology of philosophy" 1, the exploration of the manifold forms taken by bad philosophy. Stove points out that such an enterprise involves doing history. A nosology of Continental Philosophy is, at least in the first instance, inseparable (...) from the history of this strand in twentieth century philosophy, a history which would make clear the relations, philosophical and historical, between it and exact philosophy. Rorty is quite right to point to the absence of such a historical perspective. (shrink)

In his recent JME article Daniel Restrepo argues that both legal and ethical rules should protect the so-called Naked Soldiers, combatants engaged in activity unrelated to military operations and unaware of the imminent danger threatening them. I criticize this position from several angles. I deny the existence of any link between vulnerability and innocence, and claim ignorance of deadly threats does not give rise to a morally distinguished type of vulnerability. I argue that actions not contributing to the war effort (...) are nevertheless an inherent part of fighting a war, and that combatants do not signal intention to abandon their commitment to the war effort by undertaking these. I show that by granting hors de combat status to Naked Soldiers, we would unjustly disadvantage their opponents and engender significant and manifold practical difficulties that the proponents of the view fail to solve or even anticipate. Finally, I demonstrate that Restrepo’s general project of “making killing in war difficult to legitimately justify” regardless of why, how and by whom the killing is done is incompatible with just war theory’s basic assumptions. That project is in fact pacifist in nature and as such redundant in light of pacifism’s broader and stronger implications. (shrink)

There is a popular theory in the metaphysics of time according to which time is one of four similar dimensions that make up a single manifold that is appropriately called spacetime. One consequence of this thesis is that changing an object’s orientation in the manifold does not change its intrinsic features. In this paper I offer a new argument against this popular theory. I claim that an especially good performance of a particularly beautiful piece of music, when oriented (...) within the manifold in the normal way, adds to the intrinsic value of the world, but that if the same performance is turned sideways within the manifold, so that it involves a number of different notes spread out in space and all occurring at the same time, then it does not add the same intrinsic value to the world. (shrink)

Abstract: The Pull Bayesian Significance Test (FBST) for precise hy- potheses is applied to a Multivariate Normal Structure (MNS) model. In the FBST we compute the evidence against the precise hypothesis. This evi- dence is the probability of the Highest Relative Surprise Set (HRSS) tangent to the sub-manifold (of the parameter space) that defines the null hypothesis. The MNS model we present appears when testing equivalence conditions for genetic expression measurements, using micro-array technology.

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)

The human attempts to access, measure and organize physical phenomena have led to a manifold construction of mathematical and physical spaces. We will survey the evolution of geometries from Euclid to the Algebraic Geometry of the 20th century. The role of Persian/Arabic Algebra in this transition and its Western symbolic development is emphasized. In this relation, we will also discuss changes in the ontological attitudes toward mathematics and its applications. Historically, the encounter of geometric and algebraic perspectives enriched the (...) mathematical practices and their foundations. Yet, the collapse of Euclidean certitudes, of over 2300 years, and the crisis in the mathematical analysis of the 19th century, led to the exclusion of “geometric judgments” from the foundations of Mathematics. After the success and the limits of the logico-formal analysis, it is necessary to broaden our foundational tools and re-examine the interactions with natural sciences. In particular, the way the geometric and algebraic approaches organize knowledge is analyzed as a cross-disciplinary and cross-cultural issue and will be examined in Mathematical Physics and Biology. We finally discuss how the current notions of mathematical (phase) “space” should be revisited for the purposes of life sciences. (shrink)

Almost any mainstream reading about the nature of Kant's 'content of cognition' in both non-conceptualist and conceptualist camps agree that 'singular representations' (sensible intuitions) are, at least in some weak sense, objectdependent because they supervene on a manifold of sensations that are given through the disposition of our sensibility and parallel thus the real and physical components of the world (cf. McDowell 1996, Allison 1983, Ginsborg 2008, Allais 2009). The relevant class of sensible intuitions should refer, as they argue, (...) only to empirical and not to pure ones. Kant's transcendental argument creates, however, no implications as to the metaphysics of properties. Neither does he consider the world to be consisted of sensory content simpliciter nor do sensations refer to objects per se. Instead, he provides an all-encompassing pattern for sensible intuitions of any kind through the representation of space as a cognitive map in that an object can be represented if spatial properties are attributed to it. Sensible intuitions of any kind could be referring, that is to say, and can be conceptualized if they are spatial. Consequently and unlike the contemporary philosophy of perception, Kant contrasts sensible intuitions and pure concepts of understanding 'altogether' against one single experience, from which the justification of objects should proceed. In other words, what stands at the core of exposing the content of cognition concerns not the phenomenological status and actuality of sensible intuitions in the sense of 'bits of experiential intake', but the logical structure of possibility of sensible intuitions of any (external or internal) causal background. The aim of this discussion is to clarify that Kant's transcendental idealism mutatis mutandis reviews multiple and diverse kinds of 'data of mind' and cognition in the background, without reducing the content of cognition to metaphysically determined referents as 'matters of fact' and to pure concepts of understanding. Sensible intuitions in the sense of content of cognition vary, most importantly, from unstructured and unjustifiable data of mind including (physical) contents of perception and stuff of mind and also from reflective and intellectual intuitions that are the cognates of the structured complex singular representations. Put it in simple terms, Kant advocates the thesis that 'facts' are objects for concepts if they are already well-founded trough the cognitive map of the representation of space. -/- . (shrink)

I advance a novel interpretation of Kant's argument that our original representation of space must be intuitive, according to which the intuitive status of spatial representation is secured by its infinitary structure. I defend a conception of intuitive representation as what must be given to the mind in order to be thought at all. Discursive representation, as modelled on the specific division of a highest genus into species, cannot account for infinite complexity. Because we represent space as infinitely complex, the (...) spatial manifold cannot be generated discursively and must therefore be given to the mind, i.e. represented in intuition. (shrink)

The paper aims to give an account of practical knowledge by outlining a hylomorphic and conceptualist account of intentional action in analogy to McDowell's conceptualist account of experience. On this view, practical concepts provide the ideal or formal structure that unifies a manifold of bodily movements into a single intentional action, and hence intentional actions are structured conceptually. -/- - §1 sets out the basic features of this view in contrast to a common dualistic or two-component view of practical (...) knowledge, as an "inner" mental state with propositional content that functions as the efficient cause of some bodily movement in the "external" world, and introduces the claim that practical knowledge is the constitutive form of intentional action. - §2 illustrates the hylomorphic unity of concept and movement in action, and thus (contra Dreyfus) the corporeality of practical reason, by means of an account of practical concept formation, on which both the formation and tradition of practical concepts take place in bodily movement iself. - §3 elucidates the concept of a self-conscious disposition or rational capacity for action, actualizations of which are characterized by a syllogistic structure that accounts for both the explanation and the justification of action and thereby renders intelligible in what sense practical judgment is internal to acting itself. - Skillful exercises of such capacities express a knowledge-how that manifests itself in practical representations. §4 characterizes representations of this kind as a perceptually situated recognition of a practical pattern that amounts to the imaginative anticipation of a movement form by which the agent determines their next steps; a practical perception of the agent's particular situation that is both normative and motivational for them. - §5 starts by developing an identity theory of practical truth, on which the conceptual content of a (true) practical judgment is numerically identical with the formal structure of a (good) action, and concludes with explaining the unity of four features commonly attributed to practical knowledge, viz. that it is at the same time descriptive, normative, causally productive, and non-observational (or self-conscious). (shrink)

The full Bayesian signi/cance test (FBST) for precise hypotheses is presented, with some illustrative applications. In the FBST we compute the evidence against the precise hypothesis. We discuss some of the theoretical properties of the FBST, and provide an invariant formulation for coordinate transformations, provided a reference density has been established. This evidence is the probability of the highest relative surprise set, “tangential” to the sub-manifold (of the parameter space) that defines the null hypothesis.

The following text is divided in four parts. The first presents the inner relation between the phenomenological concept of intentionality and space in a general mathematical sense. Following this train of though the second part brie_ly characterizes the use of the geometrical concept of manifold (Mannigfaltigkeit) in Husserl’s work. In the third part we present some examples of the use of the concept in Husserl’s analyses of space, time and intersubjectivity, pointing out some dif_iculties in his endeavor. In the (...) fourth and _inal part we offer some points of coincidence between phenomenology and category theory suggesting that the latter can work as a formal frame for ontology in the former. Our thesis is that intentionality operates in different levels as a morphism, functor and natural transformation. (shrink)

This paper considers why obtaining and sustaining a good sexual life tends to be so challenging and why the temptation to settle for a bad one can be so alluring. We engage these questions by cultivating ideas found in the traditions of feminist philosophy and the philosophy of sex and love in dialogue with the works of two unlikely, canonical bedfellows—Immanuel Kant and Hannah Arendt. We propose that some sources of these challenges and temptations are patterned and manifold in (...) that they involve trying to transform, develop, integrate certain unruly emotional structures in oneself, including together with others. Other equally patterned and unruly sources track inherited oppressive or oppressed behaviors and feelings that make emotionally healthy, morally responsible realizations of sexual ways and being more difficult for all parties involved. In contrast to these patterned challenges, some difficulties that face us stem from the fact that humans are genuinely different from one another and evolving—individually, jointly, and collectively—in their sexual needs and wants. (shrink)

Introduction: The experience of disconnection is common in first-person accounts of grief. One way in which this feeling of estrangement can manifest is through the splintering apart of the time of the mourner and the time of the world. Supplementing and extending Thomas Fuchs' influential idea of temporal desynchronization, my aim in this article is to give an account of the heterogeneous ways in which grief can disturb time. -/- Method: I organize these manifold experiences of temporal disruption according (...) to a method of "depth analysis": a phenomenological interpretation of temporal desynchronization that tracks the increasing disconnect between the mourner and the world as it manifests in time. In so doing, I draw on a wide range of descriptive first-person responses to the question "Has your experience of time changed in any way?" - included as part of an online questionnaire on the emotional experience of grief conducted recently with colleagues at the University of York. I then stratify these according to a mild, moderate, and profound level of disruption. -/- Results: Before setting out the results of this analysis, I give a background account of Fuchs' interpretation of temporal desynchronization in phenomenological psychopathology more generally and in grief specifically. In my results, I then supplement and extend his interpretation by setting out my phenomenological depth analysis of the increasing disconnect between the time of the mourner and the time of the world, as demonstrated by the questionnaire data. As I argue, such a fine-grained account is an important step in understanding the way time can shape the meaning and significance of different grief experiences. Following this, in my discussion, I demonstrate how a depth approach might be helpful in differentiating between temporal disturbances in a range of affective disorders and give an illustrative comparison of grief and depression. -/- Conclusion: In conclusion, I reflect briefly on what grief might reveal about the depth and complexity of temporal experience itself. In so doing, I consider how the radical disruptions to time in grief might transform the mourner's experience of time irreversibly but in a way that enables a renewed connection to both their deceased loved one and the world from which they have become estranged. (shrink)

I offer an examination of a core element in the reflectiveness of Heraclitus’ thought, namely, his rebuke of polymathy . In doing so, I provide a response to a recent claim that Heraclitus should not be considered to be a philosopher, by attending to his paradigmatically philosophical traits. Regarding Heraclitus’ attitude to that naïve form of ‘wisdom’, i.e., polymathy, I argue that he does not advise avoiding experience of many things, rather, he advises rejecting experience of things as merely many (...) independent things in their manifoldness , and, instead, to understand their unity and thereby to unify our knowledge of them. (shrink)

To make out in what way Einstein’s manifold 1905 ‘annus mirabilis’ writings hang together one has to take into consideration Einstein’s strive for unity evinced in his persistent attempts to reconcile the basic research traditions of classical physics. Light quanta hypothesis and special theory of relativity turn out to be the contours of a more profound design, mere milestones of implementation of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation programme. The conception of luminiferous ether was an insurmountable obstacle for (...) Einstein’s statistical thermodynamics in which the leading role was played by the light quanta paper. In his critical stand against the entrenched research traditions of classical physics Einstein was apparently influenced by David Hume and Ernst Mach. However, when related to creative momenta, Einstein’s 1905 unificationist modus operandi was drawn upon Mach’s principle of economy of thought taken in the context of his ‘instinctive knowledge’ doctrine and with promising inclinations of Kantian epistemology presuming the coincidence of both constructing theory and integrating intuition of Principle. (shrink)

The Kalam Cosmological Argument is perhaps the most solid and widely discussed argument for a caused creation of the universe. The usual objections to the argument mainly focus on the second premise. In this paper we discuss the dependency of the first premise on the topological structure of the space-time manifold adopted for the underlying cosmological model. It is shown that in chronology-violating space-times the first premise can also be violated. The chronology-violation, in turn, requires a massive violation of (...) the so-called energy conditions which might have observational effects that are briefly discussed here. Hence, astronomical observations could be relevant for the validity of the metaphysical argument. In this sense, it is possible to talk of “observational theology”. (shrink)

In Kant, Science, and Human Nature, Robert Hanna argues against a version of scientific realism founded on the Kripke/Putnam theory of reference, and defends a Kant-inspired manifest realism in its place. I reject Kriple/Putnam for different reasons than Hanna does, and argue that what should replace it is not manifest realism, but Kant‘s own scientific realism, which rests on a radically different theory of reference. Kant holds that we picture manifest objects by uniting manifolds of sensation using concepts-qua-inferential-rules. When these (...) rules are demonstrated to be invalid, we replace the picture of the macroscopic world with a picture of the microscopic entities of theoretical science that unites the very same manifolds using different rules of inference. Thus, we refer to "unobservable" theoretical entities in the same way that we do manifest ones: by specifying both their determinate location in space and time and the concepts by which they are understood. (shrink)

Continuing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Methexis 21, 2008, pp. 131-143), the present article treats of the basic characteristics of intelligible-intellective (or noetico-noeric) multiplicity and its roots in henadic individuality. Intelligible-intellective multiplicity (the hypostasis of Life) is at once a universal organization of Being in its own right, and also transitional between the polycentric henadic manifold, in which each individual is immediately productive of absolute Being, (...) and the formal intellective organization, which is monocentrically and diacritically disposed. Intelligible-intellective multiplicity is generated from the dyadic relationship of henads to their power(s), the phase of henadic individuality expressed in the second intelligible triad, and is mediated, unlike the polycentric manifold, but not by identity and difference, like the intellective organization. Instead, the hypostasis of Life is constituted by ideal motility and spatiality, figural dispositions, and the intersubjective relations depicted in the divine symposium of Plato's Phaedrus. (shrink)

Well-Being in African Philosophy: Insights for a Global Ethics of Development, edited by Bolaji Bateye, Mahmoud Masaeli, Louise Müller, and Angela Roothaan, explores the notion of well-being in African and intercultural philosophy and its insights into global ethics of development. Drawing from longstanding debates on communitarianism in the context of personhood in African philosophy, as well as those in intercultural philosophy, the diverse contributors present manifold ways to philosophize about well-being from African contexts. Hailing from sub-Saharan Africa, Europe, and (...) the Middle East, they address questions of human well-being related to the major global challenges of our time, such as climate change and socio-economic, gender, and racial inequality in society, education, and organization. This collection, building on the work of African independence philosophers as well as oral traditions from a critical development studies perspective, offers fresh views on well-being, development, and morality, thus contributing to global ethics from an African vantage point. (shrink)

ABSTRACT (ENG) One of the concerns of Greek philosophy centred on the question of how a manifold and ordered universe arose out of the primitive state of things. From the mythical accounts dating around the seventh century B.C. to the cosmologies of the Classical period in Ancient Greece, many theories have been proposed in order to answer to this question. How these theories differ in positing a “something” that pre-existed the ordered cosmos has been widely discussed. However, scholars have (...) rarely made explicit how they differ in style of thought. In the span of four centuries the first deductive arguments of the Eleatic philosophers culminated in the emergence of logical proof and a form of explanation of natural phenomena, which consisted of searching for the simplest and fewest premises and deducting implications. In this paper it will be discussed how, at distinct stages of its development, the deductive thinking informed the solutions proposed to solve the chaos-order problem, that of how an ordered universe has been possible. -/- ABSTRACT (ITA) Una delle più importanti questioni della filosofia greca è stata quella di comprendere come sia stato possibile un universo ordinato a partire da uno stato primordiale. Dalle teogonie del VII secolo a.C. fino alle cosmologie dei filosofi dell’età classica, sono state proposte diverse teorie per dare risposta a questa domanda. Come esse differiscano nel postulare l’esistenza di un “qualcosa” di primordiale che preesisteva all’ordine del cosmo è stato molto discusso. Pochi studiosi, però, le hanno esaminate sullo sfondo della lenta evoluzione del pensiero deduttivo, culminata nella dimostrazione in geometria e in una forma di spiegazione dei fenomeni che consisteva nel cercare semplici premesse e inferire conclusioni. In questo articolo si mostrerà come il lento affermarsi della spiegazione razionale prima, dell’argomento deduttivo e della dimostrazione in geometria poi, abbiano dato forma alle diverse risposte al problema caos-ordine, e in particolare alla domanda su come sia sorto un universo ordinato. (shrink)

Completing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Méthexis 21, 2008, pp. 131-143) and "The Second Intelligible Triad and the Intelligible-Intellective Gods" (Methexis 23, 2010, pp. 137-157), the present article concerns the conditions of the emergence of fully mediated, diacritical multiplicity out of the polycentric henadic manifold. The product of the activity of the intellective Gods (that is, the product of the intellective activity of Gods as such), (...) in resolving the contradiction between existential uniqueness and universalizable potencies in the divine natures, also grounds the human exercise of phi- losophical cognition in the founding self-analysis of divine individuals. (shrink)

This article examines the time duration of individual occasions in the light of the discovery that temporal succession produces frequency ratios. The frequency ratios are used to define energy ratios and the quantum. The manifold and the common particles are constructed graphically using the arrows of time, with the mass-ratios of the particles derivable from the graphs. The formal reduction of physics to time compels us to adopt Whitehead's conception of the physical universe as occasions of experience engaged in (...) temporal/causal succession. The relative duration of the constituent occasions of the particles are determined by their graphs. In the final section, a refined account of the mind-brain interaction sequence confirms the duration of a human occasion as one tenth of a second. (shrink)

The focus of this paper is on Kant and on a text which has often been drawn upon when talking about the present situation of philosophy at university, namely his 'The Conflict of the Faculties' of 1798. Kant’s claims, though not applicable to the contemporary situation directly, can indeed be worked out in a way which can assign a distinct and clearly identifiable role for university-based philosophy. I need to emphasize, though, that I am not suggesting that this is the (...) only way Kant’s thoughts in this respect can be adapted to and utilized for such an account. Quite the contrary, Kant’s text offers a manifold of highly important options here. In my article I will seek to establish the following claims: a) Kant, in his later years, which therefore amounts to something like his “mature” position, subscribed to a conception of a public use of reason which mainly referred to the Faculties of Philosophy at universities. b) Kant’s dismissal of philosophy according to the school conception of it must not be taken as a dismissal of academic philosophy altogether. Philosophy practiced at university by professionals is vital for Kant to build philosophy as a fully worked out discipline and to answer questions revolving around the issue of the compatibility of the theoretical standpoint and Kant’s own moral theory. c) Neither a) nor b) can be immediately applied to the contemporary situation we find ourselves in. Combining elements of a) and b), however, a possible route for the actualization of Kant’s ideas may open up. At least one of the functions for which university-based philosophy is uniquely qualified is the assessment of the implications of progress in the natural sciences for the conception of a moral standpoint in general, and as such for a core element of our self-understanding as rational beings. (shrink)

Some issues heavily debated in perception sciences are presented: the explanatory gap and the experience measurement problem. The experimental phenomenology is said to provide substantive contribution to settle controversy over the phenome- nological adequacy of perception theory and models. An interpretation of experi- mental phenomenology as explanation of the perceptual manifold, and definition of relation varieties to eventually map onto other perception sciences’ domains is sketched.

In his pioneering sociological theory, which makes phenomenological concepts fruitful for the social sciences, Alfred Schütz has laid foundations for a characterization of an manifold of distinct domains of experience. My aim here is to further develop this pluralist theory of experience by buttressing and extending the elements of diversity that it includes, and by eliminating or minimizing lingering imbalances among the domains of experience. After a critical discussion of the criterion-catalogue Schütz develops for the purpose of characterizing different (...) cognitive styles, I move on to examine its application to one special style, the lifeworld. I appeal, on the one hand, to Husserl's characterization of the lifeworld as a world of perception, and on the other hand to the layer-model of the lifeworld developed by Schütz and Thomas Luckmann. A consequence of this approach is that the lifeworld appears as a socially definable context that is detached from other experiences but on an equal footing with them with respect to their claim of validity. The term "lifeworld" does not denote a category that encompasses culture or nature but refers to a delimited action-space. Finally, I draw upon Schütz' s criterion-catalogue to characterize two domains of experience outside of the lifeworld, which play a central role for the process of differentiation of experience in modernity and for the phenomenological analysis of types of experience: experimental science and subjectivity. (shrink)

Paraconsistency is the study of logical systems with a non-explosive negation such that a pair of contradictory formulas (with respect to such negation) does not necessarily imply triviality, discordant to what would be expected by contemporary logical orthodoxy. From a purely logical point of view, the significance of paraconsistency relies on the meticulous distinction between the general notions of contradictoriness and triviality of a theory—respectively, the fact that a given theory proves a proposition and its negation, and the fact that (...) a given theory proves any proposition (in the language of its underlying logic). Aside from this simple rationale, the formal techniques and approaches that meet the latter definitional requirement are manifold. Furthermore, it is not solely the logical-mathematical properties of such systems that are open to debate. Rather, there are several foundational and philosophical questions worth studying, including the very question about the nature of the contradictions allowed by paraconsistentists. This entry aims to advance a brief account of some distinct approaches to paraconsistency, providing a panorama on the development of paraconsistent logic. (shrink)

This thesis is an interrogation of the viability of transitive production, which I associate with the Aristotelian term hylomorphic. The central axiom of hylomorphic production that will be targeted for critique is that the agent of production must be distinguished absolutely from the product. The thesis follows the thought of production primarily-but not exclusively-in its characteristically modem instantiation in the Kantian transcendental. The argument seeks to demonstrate that the productive aspect of the operator of transitive production is incompatible with the (...) transcendental element, and that Kant was himself increasingly aware of this problem. The Third Critique, under the rubric of an aesthetics, it will be argued, manifests this awareness in its problematic of a manifold of empirical laws. That this constitutes a difficulty for transcendent idealism means that the transcendental operators of the First Critique have failed to constitute experience in a relevant and important way. Furthermore, it is possible to see in some of the famous slogans of the Third Critique, an indication of another mode of production which is immune to the difficulties of the axiom of transitive production. In conclusion I suggest that the consequences of this new mode of intransitive production, associated with materiality, is destructive of the thought of the axiomatic otherworldliness of production operators. Production is not operated at all. Some suggestions are then made as to the explanation of the error embodied in the axiom of transitivity. (shrink)