I discuss a short string of five sentences in Metaphysics V.5, 1015b6-9 relating demonstration to necessity. My proposal is that Aristotle focuses his attention on the demonstration as a demonstration. Other interpretations reduce the necessity in question to the modality of the component sentences of the demonstrations (the conclusion and the premises). My view does not deny that the modality of the component sentences is important, but takes seriously the idea that a demonstration itself should be understood as necessary—as not (...) capable of being otherwise. A demonstration cannot be different from what it is in the sense that [i] its components cannot be different from what they are, [ii] its components must be related to each other exactly in the way they are related. Demonstrations aim at the fully appropriate explanation of a given explanandum—and each demonstration is individuated by the explanandum it takes. Thus, the basic idea is that, for the target explanandum that individuates a given demonstration, the premises delivering the fully appropriate explanation cannot be replaces with different ones. I show how this proposal, which explains Aristotle’s language in 1015b6-9 accurately, does not make demonstrations ‘melt down into conditional necessity’, first, because the modality of the component sentences is still importantly involved, second, because the explanatory relation expressed in a demonstration is a necessary fact in the real world, so that the demonstration itself is also necessary (in the way I have explained) inasmuch as it captures that fact. (shrink)

For Aristotle, demonstrative knowledge is the result of what he calls ‘intellectual learning’, a process in which the knowledge of a conclusion depends on previous knowledge of the premises. Since demonstrations are ultimately based on indemonstrable principles (the knowledge of which is called ‘νοῦς’), Aristotle is often described as advancing a foundationalist doctrine. Without disputing the nomenclature, I shall attempt to show that Aristotle’s ‘foundationalism’ should not be taken as a rationalist theory of epistemic justification, as if the first principles (...) of science could be known as such independently of their explanatory connections to demonstrable propositions. I shall argue that knowing first principles as such involves knowing them as explanatory of other scientific propositions. I shall then explain in which way noetic and demonstrative knowledge are in a sense interdependent cognitive states – even though νοῦς remains distinct from (and, in Aristotle’s words, more ‘accurate’ than) demonstrative knowledge. (shrink)

This article offers a reconstruction of an argument against infinite regress formulated by Aristotle in Posterior Analytics I 22. I argue against the traditional interpretation of the chapter, according to which singular terms and summa genera, in virtue of having restrict logical roles, provide limits for predicative chains, preventing them from proceeding ad infinitum. As I intend to show, this traditional reading is at odds with some important aspects of Aristotle’s theory of demonstration. More importantly, it fails to explain how (...) his proof is connected to a defence of the existence of ultimate explanations, a connection that must be the case if I 19-22 is advancing a foundationalist way-out to a sceptical challenge raised in I 3. (shrink)

ABSTRACT This is a review of David Bronstein's book "Aristotle on Knowledge and Learning: The Posterior Analytics".

according to aristotle's posterior analytics, scientific expertise is composed of two different cognitive dispositions. Some propositions in the domain can be scientifically explained, which means that they are known by "demonstration", a deductive argument in which the premises are explanatory of the conclusion. Thus, the kind of cognition that apprehends those propositions is called "demonstrative knowledge".1 However, not all propositions in a scientific domain are demonstrable. Demonstrations are ultimately based on indemonstrable principles, whose knowledge is called "comprehension".2 If the knowledge (...) of all scientific propositions were... (shrink)

In Posterior Analytics II 16-17, Aristotle seems to claim that there cannot be more than one explanans of the same scientific explanandum. However, this seems to be true only for “primary-universal” demonstrations, in which the major term belongs to the minor “in itself” and the middle term is coextensive with the extremes. If so, several explananda we would like to admit as truly scientific would be out of the scope of an Aristotelian science. The secondary literature has identified a second (...) problem in II 16-17: the middle term of a demonstration is sometimes taken as the definition of the minor term (the subject), other times as the definition (or the causal part of the definition) of the major (the demonstrable attribute). I shall argue that Aristotle’s solution to the first problem involves showing that certain problematic attributes, which appear to admit more than one explanation, actually fall into the privileged scenario of primary-universal demonstrations. In addition, his solution suggests a conciliatory way-out to our second problem (or so I shall argue): the existence of an attribute as a definable unity depends on its subject having the essence it has, which suggests that both the essence of subjects and the essence of demonstrable attributes can play explanatory roles in demonstrations. (shrink)

According to Aristotle's definition of episteme in the Posterior Analytics, you have episteme of the proposition that P when you know why P, and you know that it is necessary that P. Episteme is therefore only available for propositions which have an explanation, i.e. the theorems of the science. It is a demanding cognitive state, since knowing the explanation of a proposition in a science requires being able to demonstrate or prove it. Aristotle occasionally refers to the counterpart notion to (...) episteme which applies to propositions which lack an explanation, i.e. the first principles of a science. This counterpart notion is nous, or non-demonstrative understanding. Aristotle never defines it, but it should turn out to be an equally demanding cognitive state to achieve. This paper proposes that you have nous of the proposition that P when you know that nothing explains why P, you know the various ways in which the proposition that P features in explanations in the science, and you know that it is necessary that P. (shrink)

New Blackfriars, Volume 103, Issue 1106, Page 536-553, July 2022.

What lies behind Aristotle’s declarations that an attribute or feature that is demonstrated to belong to a scientific subject is proper to that subject? The answer is found in APo. 2.8-10, if we understand these chapters as bearing not only on Aristotle theory of definition but also as clarifying the logical structure of demonstration in general. If we identify the basic subjects with what has no different cause, and demonstrable attributes with what do have ‘a different cause’, the definitions of (...) demonstrable attributes necessarily have the minor terms of the appropriate demonstrations in their definitions, for which reason the subjects and demonstrable attributes are coextensive. (shrink)

I show that in his De motu animalium Aristoteles proposes a teleology of the practical on the most general zoological level, i.e. on the level common to humans and self-moving animals. A teleology of the practical is a teleological account of the highest practical goals of animal and human self-motion. I argue that Aristotle conceives of such highest practical goals as goals that are contingently related to their realizations. Animal and human self-motion is the kind of action in which certain (...) state of affairs that realize values are mechanized. (shrink)

I defend an interpretation of Aristotle’s Posterior Analytics Book I which distinguishes between two projects in different passages of that work: (i) to explain what a given science is and (ii) to explain what properly scientific knowledge is. I present Aristotle’s theory in answer to ii, with special attention to his definition of scientific knowledge in 71b9-12 and showing how this is developed on chapters I.2-9 and I.13 into a solid Theory of Scientific Demonstration. The main point of this theory (...) is that demonstrations need to capture relevant explanations. Some formal requirements of the demonstration (as the syllogistic structure and coextension between terms) are unfoldings of the main project, i.e., to capture and present properly relevant causal-explanatory relations. (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)

Determining what has gone wrong in a malfunctioning body and proposing an effective treatment requires expertise. Since antiquity, philosophers and doctors have wondered what sort of knowledge this expertise involves, and whether and how it can warrant its conclusions. Few people were as qualified to deal with these questions as Galen of Pergamum. A practising doctor with a keen interest in logic and natural science, he devoted much of his enormous literary output to the task of putting medicine on firm (...) methodological grounds. At the same time he reflected on philosophical issues entailed by this project, such as the nature of experience, its relation to reason, the criteria of truth, and the methods of justification. This volume explores Galen's contributions to epistemology, as they arise in the specific inquiries and polemics of his works, as well as their legacy in the Islamic world. (shrink)

Aristotle is famous for thinking that all our knowledge comes from perception. But it's not immediately clear what this view is meant to entail. It's not clear, for instance, what perception is supposed to contribute to the more advanced forms of knowledge that derive from it. Nor is it clear how we should understand the nature of its contribution—what it might mean to say that these more advanced forms of knowledge are "derived from" or "based on" what we perceive. Aristotle (...) is often thought to have disappointingly little to say on these matters. I argue here that this thought is mistaken: a coherent and philosophically attractive view of perceptual knowledge can be found in the various texts in which Aristotle discusses perception's role in animal life, the cognitive resources on which it does and does not depend, and the relation it bears to practical and theoretical modes of understanding. This book offers a sustained examination of these discussions and their epistemological, psychological, and ethical implications. It defends an interpretation of Aristotle as a moderate sort of empiricist, who thinks that we can develop sophisticated forms of knowledge by broadly perceptual means—and that we therefore share an important part of our cognitive lives with nonrational animals—but also holds that our intellectual powers allow us to surpass these animals in certain ways and thereby develop distinctively human forms of understanding. (shrink)

Aristotle's voluminous writings on animals have often been marginalised in the history of philosophy. Providing the first full-length comprehensive account of Aristotle's biology, its background, content and influence, this Companion situates his study of living nature within his broader philosophy and theology and differentiates it from other medical and philosophical theories. An overview of empiricism in Aristotle's Historia Animalium is followed by an account of the general methodology recommended in the Parts of Animals. An account of the importance of Aristotle's (...) teleological perspective and the fundamental metaphysics of biological entities provides a basis for understanding living capacities, such as nutrition, reproduction, perception and self-motion, in his philosophy. The importance of Aristotle's zoology to both his ethics and political philosophy is highlighted. The volume explores in detail the changing interpretations and influences of Aristotle's biological works from antiquity to modern philosophy of science. It is essential for both students and scholars. (shrink)

This book examines Aristotle's method in ethics from the vantage point of his broader conception of philosophy. Joseph Karbowski challenges longstanding dialectical orthodoxy and argues instead that, in his ethical treatises, Aristotle is seeking the first principles of a demonstrative ethical science, a science of human goodness, using an ethically adapted version of the method described in the second book of his Posterior Analytics. Part I of this volume develops a novel interpretation of Aristotle's conception of philosophy, which highlights its (...) ambition to scientific knowledge and its flexible approach to philosophical inquiry. Part II then demonstrates Aristotle's scientific and flexible approach to philosophy at work in his ethical treatises. The book shows how the aspiration to scientific knowledge is compatible with Aristotle's remarks about ethical precision, the practical aim of ethics, and the particular orientedness of phronēsis. (shrink)

I present Aristotle’s theory of causation in a way that privileges a comparison with contemporary discussion on causation. I do so by selecting in Aristotle’s theory points that are interesting to contemporary discussion and by translating Aristotle in the contemporary philosophical terminology. I compare Aristotle’s views with Mackie’s (1993/1965) and Sosa’s (1993/1980). Mackie is a humean regularist regarding the metaphysics of causal necessity, but his theory postulates some formal aspects of the causal relation which are similar to the Aristotelian theory. (...) By introducing the notion of causal field as a third causal relatum – a sample in which the cause must be picked out as a explanation coextensive to the effect –, Mackie holds a point very similar to Aristotle, inasmuch as both defend that the causal relation is triadic and both have the extensional desideratum. Sosa (1993/1980) defends that every cause necessitates its effect, arguing against classical Humeanism, and he also proposes a causal pluralism. Both these theses are clearly Aristotelian. Aristotle comprehends that the causal relation has three relata: a subjacent C, a property of that subjacent A and a cause B that explains why such property is attributed to that subjacent. The subjacent is similar to Mackie’s notion of causal field, for in regard to it the cause must be coextensive to the property. But Aristotle also says that for each explanandum (property attributed to a subjacent of which one aims to investigate a cause) there is only one cause, which necessitates it. Sosa and Aristotle are similar because both develop a causal pluralism from a theory of causes as having intrinsic necessitation. For Aristotle, causes/explanations [aitiai] are central for attaining scientific knowledge, and its triadic structure determines the syllogistic structure of scientific demonstrations. Aristotle’s theory of causation also involves comprehending the actualisation of capacities (dispositional properties of objects) affirming that the causal relation is resultant from intrinsic properties of the objects, and the cause B is the essence of the explanandum. (shrink)

Nos Segundos Analíticos I. 14, 79a16-21 Aristóteles afirma que as demonstrações matemáticas são expressas em silogismos de primeira figura. Apresento uma leitura da teoria da demonstração científica exposta nos Segundos Analíticos I (com maior ênfase nos capítulo 2-6) que seja consistente com o texto aristotélico e explique exemplos de demonstrações geométricas presentes no Corpus. Em termos gerais, defendo que a demonstração aristotélica é um procedimento de análise que explica um dado explanandum por meio da conversão de uma proposição previamente estabelecida. (...) Em uma estrutura silogística, a proposição previamente estabelecida é a premissa maior e o termo mediador deve ser comensurado ao explanandum. O conjunto da premissa maior e da premissa menor (o explanans) é coextensivo ao explanandum, mas há uma assimetria intensional entre o explanans e o explanandum, de modo que apenas o primeiro explique o último. Por fim, defendo que o elemento identificado no termo mediador deve ser o mais apropriado para explicar precisamente o que certo explanandum é. (shrink)

Aristotle famously distinguishes between merely doing a virtuous action and acting in the way in which a virtuous person would. Against an interpretation prominent in recent scholarship, I argue that ‘acting virtuously,’ in the sense of exercising a virtue actually possessed, is prior to ‘virtuous action,’ understood generically. I propose that the latter notion is best understood as a derivative abstraction from the former, building upon a reading of a neglected distinction between per se and coincidentally just action in Nicomachean (...) Ethics 5, and thus shed light on the meaning and philosophical significance of the priority of acting from virtue. (shrink)

Our object of study in this dissertation is the paralogism due to the concomitant ( which we’ll call abreviated “PDC”). This paralogism is analysed by Aristotle in the Sophistical Refutations as a false argument. Our study about this paralogismo is divided into four chapters. Trough the first chapter we pretend to answer an important question about the PDC’s appearance. Although this paralogism is a false argument, it possess certain similarity with arguments recognized as good by the one refuted. This similarity (...) would be the reason why debaters are refuted by the PDC. Identifying the nature of this similarity is relevant to comprehend how this paralogism’s appearance can be deceitful. The content of the second chapter can be better undestood as a deepening of our interest for the subjective or psychological dimension present in the studies about the paralogisms in the Sophistical Refutations. This deepening results in the description of a mental phenomenon which we call “parallel computation”. The parallel computation consists in a rational effort (although it is a misguided one) by the one who is refuted when he tries to make sense of the logical and semantical traits of an argument. This interpretation is motivated by a set of false presumptions held by the refuted one. In the third chapter we present a case study, turning our attention to an instance of the PDC, the triangle paralogism. By studying the relevant passages for the interpretation of this paralogism we put forward what we understand to be exegetical constraints. Afterward, making use of these constraints as evaluative parameters, we analyse some reconstitution proposals of the triangle paralogism. In the final part of our dissertation we analyse the content of the chapter 24 of SE. In this chapter Aristotle presents us with a inferential principle which isn’t satisfied by any of the PDC’s instance. The interpretation of this principle is a cause of huge controversy in the secondary literature. In order to make a contribution to the specialized debate of this point we test two interpretative hyphotesis of this principle’s content, the referential and the intensional interpretation. (shrink)