This paper presents what we call ‘Hegel's philosophy of biology’ to a target audience of both Hegel scholars and philosophers of biology. It also serves to introduce a special issue of theHegel Bulletinentirely dedicated to a first mapping of this yet to be explored domain of Hegel studies. We submit that Hegel's philosophy of biology can be understood as a radicalization of the Kantian approach to organisms, and as prefiguring current philosophy of biology in important ways, especially with regard to (...) the nature of biological organization, the role of teleology in biological explanation, and the relation between life and cognition. (shrink)

The inquiry will attempt to answer several questions about: a) the cognitive status of philosophy according to Kant; b) the possibility of distinguishing philosophy from other forms of knowledge, with particular reference to specifically named scientific cognitions; c) the consequences connected with the necessity of thinking of philosophy in its relation to an ulterior dimension with respect to that of science, which is, according to Kant, the dimension of wisdom. Philosophy, according to Kant, is a rational cognition, yet different from (...) mathematics. Philosophy is a rational cognition from concepts, and therefore makes a discursive use of reason in accordance with concepts. Mathematics is instead a rational cognition from the construction of concepts, and therefore makes intuitive use of reason through the construction of concepts. The construction of a concept implies necessarily the capacity and the possibility of exposing in the intuition the corresponding object and to express it through a representation which is universally valid “for all possible intuitions that belong under the same concept”. It is precisely the fact that it is a cognition that proceeds along the construction of concepts which makes mathematics a stable and certain discipline, accompanied by evident proofs founded upon definitions, axioms and demonstrations that no rational cognition that proceeds with mere concepts can possess. It is for this reason that philosophy, in contrast with mathematics and whatever else is in some manner reducible to mathematics, may not be learned; for the fact that philosophy, understood as a scientific discipline in the same way in which all scientific disciplines are to be understood, really doesn’t exist. Philosophy is not a discipline in the sense in which all the other scientific disciplines are, because philosophy, for Kant, “is a mere idea of apossible science that precisely as an idea of a possible science is nowhere given in concreto”. If one may effectively speak about philosophy as a science, this does not constitute the moment in which philosophy finally reaches completion in itself. What Kant underscores is that at this level philosophy is only a science, that is, knowledge which, as much as it is fundamentally stable and certain, does not succeed in any case in obtaining that which constitutes instead, the most important and irreducible element of philosophy: “the relation of all cognition to the essential ends of human reason”. The philosopher is not for Kant simply a technician of reason, in that his aim is not solely that of ability, the completeness of knowledge and its systematic organisation. Rather, he aspires to something which goes beyond the merely cognitive dimension, and that Kant calls “wisdom”. Even knowing that science is the only available path, philosophy knows also that science cannot satisfy itself. In this sense philosophy presents itself as a science of limits and finds precisely in this determination the difference of all particular scientific disciplines, and, at one and the same time, of all pseudocognitive attitudes which are programmatically presented as independent from and alternative to science. (shrink)

Besides some issues connected to the philosophical style of Documentalità by Maurizio Ferraris (2009), the paper discusses two points of Ferraris’ approach: 1) the relation between ontology and epistemology and 2) the relation between letter and spirit. 1) Is it true, as Ferraris claims in his theory of social world, that ontology is completely independent from epistemology? Since it is a discourse on being, is not ontology inextricably linked with language and hence with some kind of epistemological issue that language (...) always implies? 2) And is it really true that letter is characterized by a sort of primacy on spirit? Does not this thesis presuppose a radical separation between letter and spirit which risks to undermine the basic monism of Ferraris’ philosophical proposal? (shrink)

The essays collected here have been written in honor of Francesca Menegoni, professor of moral philosophy at the University of Padua and internationally renowned scholar of German classical philosophy. Beyond the plurality of the themes they deal with, what they have in common is the conviction that the systematic analysis of the problematic nodes that go through German classical philosophy allows us to take up the fundamental challenges of our contemporaneity.

The paper addresses Schelling’s and Hegel’s interpretation of Kant’s Critique of the Power of Judgement (1790), focusing especially on the so-called ‘problem of teleology.’ We reconstruct Schelling’s and Hegel’s reading of the second part of the Critique, dedicated to ‘teleological judgement’ and the question of natural purposiveness. We first propose a brief reconstruction of Kant’s argument about the possibility of using teleological judgment with reference to nature; we then show why Hegel and Schelling were unsatisfied with Kant’s argument; Finally, we (...) argue that Schelling’s and Hegel’s dissatisfaction with the Kantian theory of teleological judgement led them to move beyond Kant, towards a different understanding of the relation between epistemology and ontology. (shrink)

As dictums go, Hegel’s Doppelsatz—“what is rational is actual [wirklich]; and what is actual is rational”—has a nice ring to it, right up there with “existence precedes essence” and “revenge is a dish best served cold.” Still, it has long befuddled readers: what does it mean, and what does it suggest about Hegel’s worldview?Anyone looking for answers to these questions would do well to consult the essays in Wirklichkeit. Beiträge zu einem Schlüsselbegriff der Hegelschen Philosophie. The essays are grouped into (...) two sets of six, with the first tending toward theoretical, the second toward practical issues in Hegel. Their gravitational center is the Logic’s technical concept of Wirklichkeit—“the unity of essence and... (shrink)

Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the (...) graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics. (shrink)

Translation of passages of Aristotle's De Anima into Portuguese. The passages are these: I.1, I.4 (the 'Rylean passage'); II.1-6; III.1-8. The translation is preliminary.

Translation of Aristotle's Posterior Analytics I into Portuguese, with a few notes, experimental glossary and introduction. The translation, which was made at 2003/4, was preliminary and its publication was intended to provide a didactic tool for courses as well as a provisional resource in research seminars. It needs some revision. I am currently working (slowly...) on the revision of the translation and a new revised one will surely appear at some point.

In Posterior Analytics 71b9 12, we find Aristotle’s definition of scientific knowledge. The definiens is taken to have only two informative parts: scientific knowledge must be knowledge of the cause and its object must be necessary. However, there is also a contrast between the definiendum and a sophistic way of knowing, which is marked by the expression “kata sumbebekos”. Not much attention has been paid to this contrast. In this paper, I discuss Aristotle’s definition paying due attention to this contrast (...) and to the way it interacts with the two conditions presented in the definiens. I claim that the “necessity” condition ammounts to explanatory appropriateness of the cause. (shrink)

In this paper, we develop an impure somatic theory of emotion, according to which emotions are constituted by the integration of bodily perceptions with representations of external objects, events, or states of affairs. We put forward our theory by contrasting it with Prinz's pure somatic theory, according to which emotions are entirely constituted by bodily perceptions. After illustrating Prinz's theory and discussing the evidence in its favor, we show that it is beset by serious problems—i.e., it gets the neural correlates (...) of emotion wrong, it isn't able to distinguish emotions from bodily perceptions that aren't emotions, it cannot account for emotions being directed towards particular objects, and it mischaracterizes emotion phenomenology. We argue that our theory accounts for the empirical evidence considered by Prinz and solves the problems faced by his theory. In particular, we maintain that our theory gives a unified and principled account of the relation between emotions and bodily perceptions, the intentionality of emotions, and emotion phenomenology. (shrink)

Translation of Aristotle's Physics I-II into Portuguese, with commentaries. Tradução para o português dos livros I e II da Física de Aristóteles, com comentários.

I discuss what Aristotle means when he say that scientific demonstration must proceed from necessary principles. I argue that, for Aristotle, scientific demonstration should not be reduced to sound deduction with necessary premises. Scientific demonstration ultimately depends on the fully appropriate explanatory factor for a given explanandum. This explanatory factor is what makes the explanandum what it is. Consequently, this factor is also unique. When Aristotle says that demonstration must proceed from necessary principles, he means that each demonstration requires the (...) principle that is the necessary one for the fully appropriate explanation of its explanandum. This picture also provides a key to understand Aristotle's thesis that scientific explanation depends on essences: it is the essence of the attribute to be explained that should be stated as the fully appropriate explanatory factor. (shrink)

Experiences like pains, pleasures, and emotions have affective phenomenal character: they feel pleasant or unpleasant. Imperativism proposes to explain affective phenomenal character by appeal to imperative content, a kind of intentional content that directs rather than describes. We argue that imperativism is on the right track, but has been developed in the wrong way. There are two varieties of imperativism on the market: first-order and higher-order. We show that neither is successful, and offer in their place a new theory: reflexive (...) imperativism. Our proposal is that an experience P feels pleasant in virtue of being constituted by a Command with reflexive imperative content, while an experience U feels unpleasant in virtue of being constituted by a Command with reflexive imperative content : More of P!Less of U! If you need a slogan: experiences have affective phenomenal character in virtue of commanding us Get more of me! Get less of me! (shrink)

Analyzing geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural network structure, implementation attributes, and learning performance. In this work, we combine concepts from high-dimensional probability and differential geometry to study how curvature properties in lower-dimensional loss representations depend on those in the original loss space. We show that saddle points in the original space are (...) rarely correctly identified as such in expected lower-dimensional representations if random projections are used. The principal curvature in the expected lower-dimensional representation is proportional to the mean curvature in the original loss space. Hence, the mean curvature in the original loss space determines if saddle points appear, on average, as either minima, maxima, or almost flat regions. We use the connection between expected curvature in random projections and mean curvature in the original space (i.e., the normalized Hessian trace) to compute Hutchinson-type trace estimates without calculating Hessian-vector products as in the original Hutchinson method. Because random projections are not suitable to correctly identify saddle information, we propose to study projections along dominant Hessian directions that are associated with the largest and smallest principal curvatures. We connect our findings to the ongoing debate on loss landscape flatness and generalizability. Finally, for different common image classifiers and a function approximator, we show and compare random and Hessian projections of loss landscapes with up to about 7×10^6 parameters. (shrink)

Aristotle contrasts episteme and doxa through the key notions of universal and necessary. These notions have played a central role in Aristotle’s characterization of scientific knowledge in the previous chapters of APo. They are not spelled out in APo I.33, but work as a sort of reminder that packs an adequate characterization of scientific knowledge and thereby gives a highly specified context for Aristotle’s contrast between episteme and doxa. I will try to show that this context introduces a contrast in (...) terms of explanatory claims: on the one hand, episteme covers those claims which capture explanatory connections that are universal and necessary and thereby deliver scientific understanding; on the other hand, doxa covers the explanatory attempts that fail at doing so. (shrink)

I examine Aristotle’s definition of scientific knowledge in Posterior Analytics 71b 9-12 and try to understand how it relates to the sophistical way of knowing and to "kata sumbebekos knowledge". I claim that scientific knowledge of p requires knowing p by its appropriate cause, and that this appropriate cause is a universal (katholou) in the restricted sense Aristotle proposes in 73b 26-27 ff., i.e., an attribute coextensive with the subject (an extensional feature) and predicated of the subject in itself (an (...) intensional feature). Kata sumbebekos knowledge, on the other hand, can occur even when the predicate of a conclusion is coextensive with its subject and is proved by a convertible meson which is not the most appropriate from an explanatory standpoint. (shrink)

I discuss the exact meaning of the thesis according to which the object of scientific knowledge is necessary. The thesis is expressed by Aristotle in the Posterior Analytics, in his definition of scientific knowledge. The traditional interpretation understands this definition as depending on two parallel and independent requirements, the causality requirement and the necessity requirement. Against this interpretation, I try to show, through the examination of several passages that refer to the definition of scientific knowledge, that the necessity requirement specifies (...) more exactly the causality requirement: what cannot be otherwise is the explanatory relation between the explanandum and the cause by which it is what it is. (shrink)

This book uses mathematical models of language to explain why there are certain gaps in language: things that we might expect to be able to say but can't. For instance, why can we say I ran for five minutes but not *I ran to the store for five minutes? Why is five pounds of books acceptable, but *five pounds of book not acceptable? What prevents us from saying *sixty degrees of water to express the temperature of the water in a (...) swimming pool when sixty inches of water can express its depth? And why can we not say *all the ants in my kitchen are numerous? The constraints on these constructions involve concepts that are generally studied separately: aspect, plural and mass reference, measurement, and distributivity. In this book, Lucas Champollion provides a unified perspective on these domains, connects them formally within the framework of algebraic semantics and mereology, and uses this connection to transfer insights across unrelated bodies of literature and formulate a single constraint that explains each of the judgments above. (shrink)

Mindreading (or folk psychology, Theory of Mind, mentalizing) is the capacity to represent and reason about others’ mental states. The Simulation Theory (ST) is one of the main approaches to mindreading. ST draws on the common-sense idea that we represent and reason about others’ mental states by putting ourselves in their shoes. More precisely, we typically arrive at representing others’ mental states by simulating their mental states in our own mind. This entry offers a detailed analysis of ST, considers theoretical (...) arguments and empirical data in favour of and against it, discusses its philosophical implications, and illustrates some alternatives to it. (shrink)

I discuss the methodological passage in the begin- ning of Ethica Eudemia I.6 (1216b26-35), which has received attention in connection with Aristotle’s notion of dialectic and his methodology in Ethics. My central focus is not to discuss whether Aristotle is prescribing and using what has been called the method of endoxa. I will focus on how this passage coheres with the remaining parts of the same chapter, which also are advancing methodological remarks. My claim is that the meth- od of (...) Ethica Eudemia I.6 is in agreement with many features of Aristotle’s theory of explanation as presented in the Posterior Analytics: Aristotle’s main concern is a warning against misuses of explanatory arguments. (shrink)

This paper examines Aristotle’s notion of priority with the specific aim of capturing the sort of priority that characterizes the primacy of substances in his metaphysics. I reject the traditional interpretation, which understands the ontological priority of substances in terms of independent existence. But there are rather two sorts of priority: the ontological priority of substances should be understood in terms of completeness, whereas the ontological priority of “substances-of-something” (the essences) is a causal-explanatory priority. Furthermore, an important piece of Aristotle’s (...) argument against Platonism is that these two sorts of priority – namely, the completeness priority and the causal-explanatory priority – should be kept distinct. (shrink)

This is an introductory handbook for some of the main themes around the notion of predication in Aristotle. It does not aim at being exhaustive, but only sketches some important lines about the subject; it contains an introductory essay, besides the translation (into Portuguese) and commentary of basic texts (such as Posterior Analytics I-22, Categories 1-5, Interpretation 1-6 etc.).

This paper discusses some issues concerning the definition of moral virtue in Nicomachean Ethics 1106b 36- 1107a 2. It is reasonable to expect from a definition the complete enumeration of the relevant features of its definiendum, but the definition of moral virtue seems to fail in doing this task. One might be tempted to infer that this definition is intended by Aristotle as a mere preliminary account that should be replaced by a more precise one. The context of the argument (...) Aristotle develops in Book II of his NE give us some help. I argue that the definition of moral virtue, once considered in the light of its context, is far from being an incomplete and provisional account: it rather introduces coherently the same notion of moral virtue that Aristotle employs in other texts (as in Nicomachean Ethics VI 13). My main proposal is that the way in which "hexis" is understood in the context of previous chapters allows Aristotle to encode in it the notion of an ability to do the right things regularly. Thus, moral virtue is a "hexis prohairetike etc.", but the ability to do the right things regularly is already encoded in the occurrence of "hexis" in the definiens account of moral virtue, as if Aristotle meant "hexis [praktike] prohairetike". (shrink)

Joint attention customarily refers to the coordinated focus of attention between two or more individuals on a common object or event, where it is mutually “open” to all attenders that they are so engaged. We identify two broad approaches to analyse joint attention, one in terms of cognitive notions like common knowledge and common awareness, and one according to which joint attention is fundamentally a primitive phenomenon of sensory experience. John Campbell’s relational theory is a prominent representative of the latter (...) approach, and the main focus of this paper. We argue that Campbell’s theory is problematic for a variety of reasons, through which runs a common thread: most of the problems that the theory is faced with arise from the relational view of perception that he endorses, and, more generally, they suggest that perceptual experience is not sufficient for an analysis of joint attention. (shrink)

This paper discusses the contrast between scientific knowledge and opinion as it is presented by Aristotle in Posterior Analytics A.33. Aristotle's contrast is formulated in terms of understanding or not understanding some "necessary items". I claim that the contrast can only be understood in terms of explanatory relevance. The "necessary items" are middle terms (or explanatory factors) that are necessary for the fully appropriate explanation. This approach gives a coherent interpretation of each step in the chapter.

These are commentaries to the translation into Portuguese of Nicomachean Ethics VI, found in the same volume of Dissertatio.