In this paper, we provide a detailed critical review of current approaches to ecthesis in Aristotle’s Prior Analytics, with a view to motivate a new approach, which builds upon previous work by Marion & Rückert (2016) on the dictum de omni. This approach sets Aristotle’s work within the context of dialectic and uses Lorenzen’s dialogical logic, hereby reframed with use of Martin-Löf's constructive type theory as ‘immanent reasoning’. We then provide rules of syllogistic for the latter, and provide proofs of (...) e-conversion, Darapti and Bocardo and e-subalternation, while showing how close to Aristotle’s text these proofs remain. (shrink)

Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss (...) many other historically and philosophically important aspects of Boole’s book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole’s contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology. (shrink)

Prior Analytics by the Greek philosopher Aristotle and Laws of Thought by the English mathematician George Boole are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle's system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss many other historically and philosophically important aspects (...) of Boole's book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole's contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology.… using mathematical methods … has led to more knowledge about logic in one century than had been obtained from the death of Aristotle up to … when Boole's masterpiece was published.Paul Rosenbloom 1950. (shrink)

El estudio del tiempo en Physica IV.10-14 presenta grandes dificultades, una de ellas es el vínculo entre tiempo y alma realizada en 223a21-28. Este pasaje fue discutido por varios especialistas modernos durante el siglo XX. Si bien no hay consenso unánime, la “interpretación realista” estuvo muy extendida durante el siglo pasado. En este trabajo me propongo discutir un pasaje de la premisa 223a25-26 en el argumento de Aristóteles respecto de este vínculo. En primer lugar, rechazo la “interpretación realista” según la (...) cual el tiempo como número puede existir independientemente del alma. Luego, muestro que la numerabilidad del tiempo impide su independencia respecto del alma, a diferencia de lo que ocurre con ‘lo sensible’. (shrink)

Accounts of ontic explanation have often been devised so as to provide an understanding of mechanism and of causation. Ontic accounts differ quite radically in their ontologies, and one of the latest additions to this tradition proposed by Peter Machamer, Lindley Darden and Carl Craver reintroduces the concept of activity. In this paper I ask whether this influential and activity-based account of mechanisms is viable as an ontic account. I focus on polygenic scenarios—scenarios in which the causal truths depend on (...) more than one cause. The importance of polygenic causation was noticed early on by Mill (1893). It has since been shown to be a problem for both causal-law approaches to causation (Cartwright 1983) and accounts of causation cast in terms of capacities (Dupré 1993; Glennan 1997, pp. 605-626). However, whereas mechanistic accounts seem to be attractive precisely because they promise to handle complicated causal scenarios, polygenic causation needs to be examined more thoroughly in the emerging literature on activity-based mechanisms. The activity-based account proposed in Machamer et al. (2000, pp. 1-25) is problematic as an ontic account, I will argue. It seems necessary to ask, of any ontic account, how well it performs in causal situations where—at the explanandum level of mechanism—no activity occurs. In addition, it should be asked how well the activity-based account performs in situations where there are too few activities around to match the polygenic causal origin of the explanandum. The first situation presents an explanandum-problem and the second situation presents an explanans-problem—I will argue—both of which threaten activity-based frameworks. (shrink)

In "De anima" 3.5, Aristotle argues for the existence of a second intellect, the so-called "Agent Intellect." The logical structure of his argument turns on a distinction between different types of soul, rather than different faculties within a given soul; and the attributes he assigns to the second species make it clear that his concern here -- as at the climax of his other great works, such as the "Metaphysics," the "Nicomachean" and the "Eudemian Ethics" -- is the difference between (...) the human and the divine. If this is right, we needn't go on a wild goose chase trying to invent a role for the so-called Agent Intellect to play. God moves our intellects as he moves the heavenly spheres, "as a beloved": he constitutes the complete actualization towards which all of our intellectual striving is directed. Aristotle regards such final causation as an efficient cause, but not in a way that would make it part of what we would call the causal processes or mechanisms of human psychology. But, he would insist, it is essential for appreciating who we are and what our place is in the world. (shrink)

It is commonly assumed that Aristotle thinks that his claim that being exhibits a category-based pros hen structure, which he introduces to obviate the problem of categorial heterogeneity, is sufficient to defend the possibility of a science of being qua being. We, on the contrary, argue that Aristotle thinks that the pros hen structure is necessary only, but not sufficient, for this task. The central thesis of our paper is that Aristotle, in what follows 1003b19, raises a second problem for (...) the possibility of the science of being qua being; and that he does not think that the resolution of the first, the category-based problem, is either necessary or sufficient for resolving this problem. This is the problem: how can a plurality of apparently primary kinds and their opposites (they include to hen, to on, to auto, to homoion, to heteron and to anhomoion) be the subject-matter of the science of being qua being? It has been argued that these kinds are per se attributes of ousia and that, therefore, this problem is not different from the first problem. This, we argue, is mistaken; for nowhere in Gamma 2 does Aristotle claim that unity is a per se attribute of ousia. Rather, he says that identity, similarity, etc. are per se attributes of being qua being and unity qua unity. Aristotle’s resolution of the second problem, we argue, is that most of these kinds are reducible to a single compound principle: being-and-unity. Being and unity, moreover, are themselves related to each other as primary ousia and consequent ousia; but, we argue, Aristotle leaves it open, in Gamma 2, which of the two is primary, and which is consequent ousia. (shrink)

Galen was a prolific writer, mostly important for the development of medicine. However he is not receiving the deserved attention by researchers in Lusophonic world. Here we aim to show why studying Galen’s De Sectis is useful as an external source for comprehending Sextus Empiricus and his empiricism, as well as his exhortation to live in accordance to the ordinary life. Furthermore, in two appendices we offer the main primary sources, and we display a chronology of the physicians mentioned in (...) pseudo-Galen, Introd.14.683.5-14.684.5. (shrink)

Duas das principais controvérsias que têm ocupado aqueles que se dedicam à teoria aris- totélica do movimento animal são a controvérsia acerca da forma da cognição através da qual um animal irracional apreende um objeto como um objeto de desejo e a controvérsia acerca da função desempenhada pela cognição na explicação aristotélica dos movimentos voluntários de locomoção animal. Neste artigo, eu apresento uma teoria acerca das formas como o desejo e a cognição se articulam na teoria aristotélica segundo a qual (...) um animal irracional apreende um objeto como um objeto de desejo através da percepção incidental deste objeto e, ao contrário do que a maioria parece acreditar, esta percepção não tem sempre a mesma função na produção destes movimentos. Se o que for dito aqui estiver correto, em alguns casos esta percepção é responsável tanto pela geração do desejo quan- to pela sua orientação, mas em outros ela é responsável apenas pela sua orientação. (shrink)

Aristotle uses philosophia (and philosophos, philosophein, philosophôs, sumphilosophein, philosophêteon) in at least ten senses across his oeuvre, as this first study of every instance in his writings reveals. Irrespective of the specific approaches of its practitioners, philosophia may be, for example, an exercise of cleverness; or leisurely study; or the desire to know; or the pursuit of fundamental explanation; or a historically extended discipline. This variety allows us to go some way in reconstructing the complex attitude Aristotle had toward a (...) culturally specific practice in which he located himself and soon helped develop into a specialized discipline. Another benefit is that it allows us to clarify the argumentative method in his Protrepticus, which depends on several senses of philosophia. It also puts up obstacles to determining whether, for example, Aristotle believes philosophia is an epistêmê. (shrink)

Journal Name: Apeiron Issue: Ahead of print.

I examine the ancient and perennial notion of the elements (stoicheia) and its relation to an idea of place proper (topos) and natural place (topos oikeios) in Aristotle's work. Through an exploration of his accounts, I argue that Aristotle develops a robust theory of place that is relevant to current environmental and geographical thought. In the process, he provides a domestic household and home for earth, air, fire and water that offers a supplement or an alternative to more abstract and (...) controversial uses of a conception of 'nature' (physis). I identify and elaborate upon environmental aspects of place-based and elemental philosophy. (shrink)

Aristotle ’s claim that we become virtuous by doing virtuous actions raises a familiar problem: How can we perform virtuous actions unless we are already virtuous? I reject deflationary accounts of the answer given in _Nicomachean Ethics_ 2.4 and argue instead that proper habituation involves doing virtuous actions with the right motive, i.e. for the sake of the noble, even though learners do not yet have virtuous dispositions. My interpretation confers continuity to habituation and explains in a non-mysterious way how (...) we become virtuous by doing virtuous actions in the right way. (shrink)

Plato’s theory of virtue in the Laws could be striking for someone who is more familiar with Aristotle’s ethics for conceptual complementarity between the two positions (contrary emotions, the ordering element of reason, virtue as a mean which lies between two forms of vice, typically linked to excessive actions, etc.). Plato’s theory, however, still differs from that of Aristotle in two crutial points. First, the source of emotional dynamism is, according to Plato, supraindividual as far as the psyche is a (...) cosmological principle. Only if it comes to be formed and ordered, it separates from the universal cosmic context and make up the emotional nature of an individual soul. But the soul is not, and this is the second point of difference, ordered by some external element (training or education, organized by a rational agent). Plato counts on a pre-arranged order of emotions at a particular ontological topos of the individual soul into which reason eventually descends. Emotions, on their part, seem to include a nexus between formable and forming that is chronologically and methodocally prior to that between the biological substratum and its rational organization, as assumed by Aristotle. (shrink)

This dissertation is a collection of essays exploring the role of metaphor in Aristotle’s scientific method. Aristotle often appeals to metaphors in his scientific practice; but in the Posterior Analytics, he suggests that their use is inimical to science. Why, then, does he use them in natural science? And what does his use of metaphor in science reveal about the nature of his scientific investigations? I approach these questions by investigating the epistemic status of metaphor in Aristotelian science. In the (...) first essay, I defend an interpretation of metaphor as a type of heuristic reasoning: I claim that Aristotle uses metaphor to express conditions an explanation in natural science must meet if it is to explain regular, ordered change. These conditions specify the kinds of causes—particularly unmoved efficient causes—which the inquirer into nature is seeking. In the second essay, I look to Aristotle’s use of certain endoxa or common beliefs as explanatory principles in science, and show that his use of these principles is similar to his use of metaphor. In the final essay, I present a historical study of the analogy of art and nature, and I suggest that by looking to how the Greeks understood the role of inquiry in the arts, we can shed some light on Aristotle’s views concerning the method of inquiry he thinks the natural scientist should adopt. (shrink)

Aristotle’s Naïve Somatism is a re-interpretation of Aristotle’s cognitive psychology in light of certain presuppositions he holds about the living animal body. The living animal body is presumed to be sensitive, and Aristotle grounds his account of cognition in a rudimentary proprioceptive awareness one has of her body. With that presupposed metaphysics under our belts, we are in a position to see that Aristotle in de Anima (cognition chapters at least) has a di erent explanatory aim in view than that (...) which the literature generally imputes to him. He is not explicating what we would call the “mental”—the private, inner realm which some take to be of a di erent kind than the physical—as most take him to be. His explanandum is content acquisition; the explanans is showing how the body becomes like various aspects of objects. Although he famously describes the mind (nous) as unmixed with the body, he is guided by functional constrains—nous cannot be limited or qualified if it is to potentially think all things. Thus, his inquiry into cognition is philosophically limited from a contemporary perspective. Aristotle is not doing philosophy of mind, for he doesn’t seem to find the “mental” philosophically perplexing. (shrink)

This dissertation is a study of the relation between Aristotle’s ethics and the crafts (or technai). My thesis is that Aristotle’s argument is at key points shaped by models proper to the crafts, this shaping being deeper than is generally acknowledged, and philosophically more problematic. Despite this, I conclude that the arguments I examine can, if revised, be upheld. The plan of the dissertation is as follows – Preface: The relation of my study to the extant secondary literature; Introduction: The (...) pre-Platonic concept of technē, as evidenced in Greek philosophical and literary sources, in particular the early Hippocratic corpus; Chapter one: The Platonic concept of technē, followed by an investigation of whether Plato affirms a virtue-technē in the Protagoras and Republic; Chapter two: Aristotle’s concept of technē, followed by scrutiny of his arguments in NE VI.5 against a virtue-technē, and of his analyses of slavery and deliberation; Chapter three: An exposition of Aristotle’s function argument, followed by a dominantist interpretation of it, and an explanation of dominantism as in part a technē-influenced doctrine; Chapter four: An examination of Aristotle’s ethical mean and its problems, with a diagnosis of these in terms of influence by the Philebus, and by paradigms derived from the crafts; Chapter five: Argument that Aristotle’s theory of habituation suffers from two significant opacities, these being a function of influence both by the Republic, and by models of craft-learning; Conclusion: Response to key objection; Aristotle’s ethics revised, defended. (shrink)

If the prime mover must be considered as efficient cause and not only as a final cause, then one must ask: why does God move the heavens? We hold the position that the anthropocentrism which Aristotle maintains is able to sufficiently justify the thesis that God moves the spheres so that human beings may exist. This provides an additional motive for accepting providence, which is manifestly ordered specifically towards man.

The main aim of my paper is to analyse Aristotle’s theory of language in the context of his Physics I.1 and via an analysis and an interpretation of this part of his Physics I try to show that (i) the study of human language (logos) significantly falls within the competence of Aristotle’s physics (i.e. natural philosophy), (ii) we can find the results of such (physical) inquiry in Aristotle’s zoological writings, stated in the forms of the first principles, causes and elements (...) of the human speech (logos) and (iii) the analogies (Phys. 184b13-14) made by Aristotle at the very end of the first chapter make better sense if we consider them in the broader context in which Aristotle recognizes language as a complex natural phenomenon we are born into and which has to be not only biologically, but also socially developed through our lives. Hence, I aim towards a more naturalistic reading of Aristotle’s views on language. (shrink)

My dissertation explores some issues of Aristotle’s philosophy, regarding the functionalist interpretation developed by Hilary Putnam and Martha C. Nussbaum as a valuable starting point. In Chapter One, I analyze some families of interpretations of Aristotle’s “psuchology” proposed in the second half of the 20th century in the context of the philosophy of mind. I show how some aspects of Aristotle’s thought, which are correctly grasped by the dualistic as well as by the physicalist interpretation, are later resumed and harmonized (...) by functionalism into a coherent doctrine. In Chapter Two it is worth to set out an analysis of Aristotle’s hylomorphism. I take into account homonymy, which is traditionally conceived as being in conflict with hylomorphism. I show not only how homonymy is rather a consequence of hylomorphism, but also how it allows to highlight that hylomorphism, if properly conceived, should be regarded as an ontological thesis with predicative consequences. In this regard, I suggest my own definition of hylomorphism. In Chapter Three, I take into account Aristotle’s final causation, comparing it with contemporary naturalism. I hold that teleology demonstrates Aristotle’s anti-reductionism and, in particular, the fact that he attributes causal efficacy to natural forms and ends. I criticize functionalism for having regarded Aristotle’s formal and final causes as being just explanatory, whereas, on the contrary, Aristotle conceives such explanatory character to derive from their genuine causal role. I formulate my own position, which I label as “logical compatibilism”. I hint at how the functional analysis of living organism may establish some points of contact between Aristotle’s and Darwin’s analysis. I recognize that functionalism correctly grasps the functional roles Aristotle attributes to matter and form and that it translates such an account in a valuable philosophical doctrine. Nevertheless, functionalism confines itself within the framework of contemporary philosophy of mind and fails to comprehend Aristotle’s anti-reductionist naturalism as regards biological life and nature in general. (shrink)

Polygenic effects have more than one cause. They testify to the fact that several causal contributors are sometimes simultaneously involved in causation. The importance of polygenic causation was noticed early on by Mill (1893). It has since been shown to be a problem for causal-law approaches to causation and accounts of causation cast in terms of capacities. However, polygenic causation needs to be examined more thoroughly in the emerging literature on causal mechanisms. In this paper I examine whether an influential (...) theory of mechanisms proposed by Peter Machamer, Lindley Darden and Carl Craver can accommodate polygenic effects and other forms of causal interaction. This theory is problematic, I will argue, because it ascribes a central role to activities. In it, activities are needed not only to constitute mechanisms but also to perform the causal role of mechanisms. Any such mechanism-as-activity will be incompatible with causal situations where either no or merely another kind of activity occurs. But, as I will try to illustrate in this paper, both kinds of situation may be frequent. If I am right, the view that Machamer and colleagues suggest leads to an impoverished conception of mechanism. (shrink)