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.

David Lewis criticizes an argument I put forward against mechansim on the grounds that I fail to distinguish between OL, Lucas's ordinary potential arithmetic output, and OML, Lucas's arithmetical output when accused of being some particular machine M; and correspondingly, between OM the ordinary potential arithmetic output of the machine M, and ONM, the arithmetic output of the machine M when accused of being a particular machine N. For any given machine, M, N, O, P, Q, R,... etc., (...) I can in principle calculate a Godel sentence for that machine - indeed infinitely many, depending on the Godel numbering scheme adopted. The Godel sentence of a particular machine can, I claim, be seen to be true, if that machine is adequate for Elementary Peano Arithmetic. Hence, if I were accused of being M, I can on that supposition see that the Godel sentence of M is true, since I am capable of Elementary Peano Arithmetic and the machine M is said to be an adequate characterization of me. (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 book discusses Aristotle’s notions of essence and substance as they are developed in Metaphysics ZH. I examine Aristotle's argument at length and defends an unorthodox interpretation according to which his motivation is to provide an answer against a conflation between criteria for existential priority (delivering substances as primary beings) and criteria for explanatory priority (delivering essences as primary principles).

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)

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

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)

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.

Translation of Aristotle's Metaphysics IV and VI, with notes. The translation is preliminary and intended as a provisional teaching tool to be also used in seminars and discussions with peers in order to reach a more elaborated version.

Translation of Aristotle's Parts of Animals Book I into Portuguese, with full commentaries.

Responsibility is a key concept in our moral, social, and political thinking, but it is not itself properly understood. J.R. Lucas here presents a lively, broad, and accessible discussion of responsibility in various areas of human life, from personal and sexual relations to politics.

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)

"Lucas' book competently brings Whitehead's philosophy into dialogue with "analytic" philosophy. This is a topic of great originality and considerable potential importance for the field of philosophy.

Trata-se de tradução do Hípias Maior de Platão para o Português, com algumas notas de elucidação e justificação das opções.

In this article, Lucas maintains the falseness of Mechanism - the attempt to explain minds as machines - by means of Incompleteness Theorem of Gödel. Gödel’s theorem shows that in any system consistent and adequate for simple arithmetic there are formulae which cannot be proved in the system but that human minds can recognize as true; Lucas points out in his turn that Gödel’s theorem applies to machines because a machine is the concrete instantiation of a formal system: (...) therefore, for every machine consistent and able of doing simple arithmetic, there is a formula that it can’t produce as true but that we can see to be true, and so human minds and machines have to be different. Lucas considers as well in this article some possible objections to his argument: for any Gödelian formula we could, for instance, construct a machine able to produce it or we could put the Gödelian formulae that we had proved as axioms of a further machine. However - as Lucas underlines - for every of such machines we could again formulate another Gödelian formula, the Gödelian formula of these machines, that they are not able to proof but that we can recognize as true. More general arguments, such as the possibility to escape Gödelian argument by suggesting that Gödel’s theorem applies to consistent systems while we could be inconsistent ones, are moreover refuted by Lucas by maintaining that our inconsistency corresponds to occasional malfunctioning of a machine and not to his normal inconsistency; indeed, a inconsistent machine is characterized by producing any statement, on the contrary human being are selective and not disposed to assert anything. (shrink)

Paul Guyer is well known for defending the claim that freedom, understood as the capacity to set ends, is Kant’s fundamental value. In contrast, I have developed a reading of Kant’s ethics that places autonomy and community at the heart of Kant’s ethics. At the heart of my account is a conception of autonomy understood as what I call the capacity for sovereignty. I argue that these two positions can be made compatible. To do this involves making a distinction between (...) the concepts of dignity and value and arguing that although autonomy, understood as the capacity for sovereignty, is the source of the dignity of humanity, this is compatible with the claim that the ultimate value for Kant is freedom understood as the capacity to set ends. To explain how this is possible I appeal to Wilfrid Sellars Kantian account of the moral point of view in Science and Metaphysics. (shrink)

Tradução preliminar em pré-print. A Tradução definitiva é a de 2009.

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)

We present epistemic multilateral logic, a general logical framework for reasoning involving epistemic modality. Standard bilateral systems use propositional formulae marked with signs for assertion and rejection. Epistemic multilateral logic extends standard bilateral systems with a sign for the speech act of weak assertion (Incurvati and Schlöder 2019) and an operator for epistemic modality. We prove that epistemic multilateral logic is sound and complete with respect to the modal logic S5 modulo an appropriate translation. The logical framework developed provides the (...) basis for a novel, proof-theoretic approach to the study of epistemic modality. To demonstrate the fruitfulness of the approach, we show how the framework allows us to reconcile classical logic with the contradictoriness of so-called Yalcin sentences and to distinguish between various inference patterns on the basis of the epistemic properties they preserve. (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 Aristotle's Metaphysics I-III into Portuguese, with a few notes and introduction. The translation, which was made at 2007, is 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.

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 attempts to clarify the nature and the importance of a third kind of sophistic argument that is not always found in the classification of those arguments in the secondary literature. An argument of the third kind not only is a valid one, but is also constituted of true propositions. What makes it a sophistic argument is the fact that it produces a false semblance of scientific explanation: its explanation seems to be appropriate to the explanandum without being so. (...) Evidence from this kind of argument comes from Sophistic Refutations 11, and Brison’s attempt to square the circle should be counted as one of its instances. (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)

Inhalt: O. Poggeler: Vorwort - Publikationen des Hegel-Archivs (Bochum) - Publications du Centre de Recherche et de Documentation sur Hegel et sur Marx (Poitiers) - G. Planty-Bonjour: In memoriam Claude Bruaire - Die Lehren der Geschichte: J. D'Hondt: Les lecons hegeliennes de l'histoire - N. Waszek: Weltgeschichte und Zeitgeschehen. Hegels Lekture des Globe - B. Bourgeois: Hegel et la deraison dans l'histoire - D. Souche-Dagues: La 'fierte' de l'Esprit - Dialektische Logik und Geschichtsmetaphysik: O. Poggeler: Geschichte, Philosophie und Logik bei (...) Hegel - K. Dusing: Dialektik und Geschichtsmetaphysik in Hegels Konzeption philosophiegeschichtlicher Entwicklung - G. Schmidt: Kausalitat oder Substantialitat? - Geschichte der Philosophie und logische Kategorien: M. Riedel: Erster und anderer Anfang. Hegels Bestimmung des Ursprungs und Grundes der griechischen Philosophie - B. Tuschling: Necessarium est idem simul esse et non esse. Zu Hegels Revision der Grundlagen von Logik und Metaphysik - Entwicklung, Geschichte der Philosophie und Evolution: P. Garniron: Hegels Geschichte der Philosophie der Moderne. Eine Untersuchung auf der Grundlage verschiedener Berliner Nachschriften - H.-Ch. Lucas: Kontinuitat, Einheit und das Neue. Uberlegungen zu Hegel und Thomas S. Kuhn - W. Bonsiepen: Der Zusammenhang von Naturrevolution und geschichtlicher Entwicklung in Hegels Berliner System - Anhang: Abkurzungen und Siglen - Literaturverzeichnis: H.-Ch. Lucas und N. Waszek. - Personenverzeichnis. (shrink)

Constitutivism argues that the source of the categorical force of the norms of rationality and morality lies in the constitutive features of agency. A systematic failure to be guided by these norms would amount to a loss or lack of agency. Since we cannot but be agents, we cannot but be unconditionally guided by these norms. The constitutivist strategy has been challenged by David Enoch. He argues that our participation in agency is optional and thus cannot be a source of (...) categorical demands. In this paper, I defend the viability of constitutivism by showing that agency is indeed a special ‘inescapable’ enterprise. Agency has the largest jurisdiction, and it is closed under rational assessment. This inescapability does not exempt constitutivism from raising the question whether agents have reason to be agents, but this question has to be taken up within agency. If this question is answered affirmatively, then—I argue—the criteria of practical correctness are self-ratifying in a non-circular way. This is sufficient to show the viability of the constitutivist strategy. Whether agents have conclusive reasons to be agents, however, is a matter to be addressed in the terms of particular versions of constitutivism. (shrink)

We study the strictness of the modal μ-calculus hierarchy over some restricted classes of transition systems. First, we prove that over transitive systems the hierarchy collapses to the alternationfree fragment. In order to do this the finite model theorem for transitive transition systems is proved. Further, we verify that if symmetry is added to transitivity the hierarchy collapses to the purely modal fragment. Finally, we show that the hierarchy is strict over reflexive frames. By proving the finite model theorem for (...) reflexive systems the same results holds for finite models. (shrink)

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)

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.

I discuss the argument Aristotle ascribes to Parmenides at Physics 186a23-32. I discuss (i) the reasons why Aristotle considers it as eristic and inconclusive and (i) the solution (lusis) Aristotle proposes against it.

My object is Aristotle's discussion of principle of non-contradiction in the first stretch of Metaphysics IV.4. My main focus rests on the connections between Aristotle's discussion of the principle and some key notions of his (explicit or implied) semantics.

I discuss three kinds of relationship between ends and means (or "things that promote ends") in the Aristotelian ethical theory, in order to clarify how moral virtues and phronesis are related both in adopting ends and in determining means for virtuous actions. Phronesis seems to be mainly charged with determining means for an end given by the moral virtues, but it must involve some conception of ends too. Phronesis cannot be parasitic on moral virtue concerning the conception of ends, for (...) otherwise it will lack intrinsic moral value. I argue that the intrinsic moral value of phronesis can be better understood through a certain kind of relation between means and ends that has not received much attention. (shrink)

I argue that Aristotle’s teleology in natural science (more specifically, in biology) is not incompatible with his admissions of the “brute necessity” of the movements of matter. Aristotle thinks that the brute necessity emerging from the movements of matter is not sufficient to explain why living beings are what they are and behave the way they behave. Nevertheless, Aristotle takes this brute necessity to be a sine qua non condition in biological explanations. The full explanation of the features of living (...) beings requires the hylomorphic model, in which the brute necessity belonging to the matter is subordinated to the teleological causality of the form. The model for which I argue is pretty much Balme’s “cybernetic”. However, I explore some aspects of Aristotle’s texts that have not received much attention in the recent literature. (shrink)

I discuss some of Aristotle’s scattered remarks from which one can construct his conception of matter. Aristotle seems to oscillate between two conceptions: one in which matter is the principle of becoming, another in which matter is a constituent element with no contribution for processes of becoming. Sometimes Aristotle takes matter as a thing independent in itself, and the correlated form is a feature that does not contribute to the matter’s essence, nor is a necessary condition for its existence. But (...) sometimes Aristotle takes matter as a constituent element the existence of which depends on the whole thing it is the matter of. These different approaches to matter seem to suggest an inconsistent theory of matter. However, I argue that, quite to the contrary, Aristotle has a consistent theory about matter. One of my main points is to distinguish contexts in which Aristotle is indeed talking about matter in general from contexts in which he uses the term “matter” to refer to a given thing that was previously taken as matter and to talk about that thing not qua matter, but qua the thing it is. (shrink)