The aim of this paper is to address the semantic issue of the nature of the representation I and of the transcendental designation, i.e., the self-referential apparatus involved in transcendental apperception. The I think, the bare or empty representation I, is the representational vehicle of the concept of transcendental subject; as such, it is a simple representation. The awareness of oneself as thinking is only expressed by the I: the intellectual representation which performs a referential function of the spontaneity of (...) a thinking subject. To begin with, what exactly does Kant mean when he states that I is a simple and empty representation? Secondly, can the features of the representation I and the correlative transcendental designation explain the indexical nature of the I? Thirdly, do the Kantian considerations on indexicality anticipate any of the semantic elements or, if nothing else, the spirit of the direct reference theory? (shrink)

The aim of this paper is to focus on certain characterizations of “I think” and the “transcendental subject” in an attempt to verify a connection with certain metaphysical characterizations of the thinking subject that Kant introduced in the critical period. Most importantly, two distinct meanings of “I think” need be distinguished: (1) in the Transcendental Deduction “I think” is the act of apperception; (2) in the Transcendental Deduction and in the section of Paralogisms “I think” is taken in its representational (...) nature. It proves helpful to interpret the “transcendental subject” in formal terms as a concept that, mutatis mutandis, has the same function of the concept of the “transcendental object.”. (shrink)

In recent years non-conceptual content theorists have taken Kant as a reference point on account of his notion of intuition (§§ 1-2). The present work aims at exploring several complementary issues intertwined with the notion of non-conceptual content: of these, the first concerns the role of the intuition as an indexical representation (§ 3), whereas the second applies to the presence of a few epistemic features articulated according to the distinction between knowledge by acquaintance and knowledge by description (§ 4). (...) This work intends to dismiss the possibility that intuition may have an autonomous function of de re knowledge in support of an interpretative reading which can be labelled as weak conceptualism. To this end, the exploration will be conducted from a strictly transcendental perspective – i.e., by referring to the so called theory of the “concept of a transcendental object”. (shrink)

This book addresses the problem of self-knowledge in Kant’s philosophy. As Kant writes in his major works of the critical period, it is due to the simple and empty representation ‘I think’ that the subject’s capacity for self-consciousness enables the subject to represent its own mental dimension. This book articulates Kant’s theory of self-knowledge on the basis of the following three philosophical problems: 1) a semantic problem regarding the type of reference of the representation ‘I’; 2) an epistemic problem regarding (...) the type of knowledge relative to the thinking subject produced by the representation ‘I think’; and 3) a strictly metaphysical problem regarding the features assigned to the thinking subject’s nature. The author connects the relevant scholarly literature on Kant with contemporary debates on the huge philosophical field of self-knowledge. He develops a formal reading according to which the unity of self-consciousness does not presuppose the identity of a real subject, but a formal identity based on the representation ‘I think’. (shrink)

The analysis of the structure of the I-thoughts is intertwined with several epistemic and metaphysical questions. The aim of this paper is to highlight that the absence of an identification component does not imply that the “I" doesn’t perform a referential function, nor that it necessarily involves a specific metaphysical thesis on the nature of the self-conscious subject. Particularly, as far as the Cartesian illusion concerning the thinking subject’s immaterial nature is concerned, Kant and Wittgenstein seem to share the same (...) philosophical concerns and focus on the same type of reference involved in the “I", obviously via different philosophical paths and antipodal metaphysical assumptions. (shrink)

Since the classic works by Castañeda, Perry and Lewis, de se thoughts have been described as thoughts about oneself ‘as oneself’. In recent years, various theoretical perspectives have gained ground, and even if the transcendental system does not seem to contemplate an explicit articulation of de se thoughts, apparently a few features of transcendental apperception and I think do anticipate a few points in Perry and Recanati’s claims on the so-called implicit de se thoughts in the specific terms of Transcendentalism.

In this issue of Studies in Transcendental Philosophy five scholars enquire about the theoretical aspects of Kant’s transcendental philosophy related to the notions of subject, self-consciousness, and self-knowledge. Andrew Brook examines Kant’s views on transcendental apperception at the end of the Critical Period, focusing on Opus Postumum which contains some of Kant’s most important reflections on the subjective dimension. As is known, the self-conscious act designated by the proposition ‘I think’ is an act of spontaneity, and this spontaneity is the (...) reason that the subject calls itself an intelligence. In his article Addison Ellis examines the theoretical and practical dimension of spontaneity, calling into question the distinction between a merely ‘relative’ spontaneity and one that is ‘absolute’. Luca Forgione points to two forms of self-consciousness introduced by Kant: inner sense, based on a sensory form of self-awareness, and transcendental apperception. Through the notion of inner sense, Kant also allows for an introspective account of self-awareness; nonetheless, Kant holds an utterly sophisticated notion of basic self-consciousness provided for by the notion of transcendental apperception. Roberto Horácio de Sá Pereira’s article presents a systematic and a historical approach, linking the contemporary debate on transcendental argument to Kant’s philosophy. It addresses both Stroud’s objection and Strawson’s perspective on transcendental argument and introduces a new reconstruction of Kant’s Refutation as successful truth-directed transcendental argument. In contrast to the contemporary movement of transhumanism and its claims that creatures like us can exist independently of our bodies, Robert Hanna develops a generalist perspective on the subjective dimension, according to which all rational human creature are synthetic a priori necessarily, essentially embodied Kantian selves. I would like to thank the authors for participating in this issue and for helping to make it really special. (shrink)

As is well known, the linguistic/philosophical reflection on natural kind terms has undergone a remarkable development in the early seventies with Putnam and Kripke’s essentialist approaches, touching upon different aspects of Kan’s slant. Preliminarily, however, it might be useful to review some of the theoretical stages in Locke and Leibniz’s approaches on natural kind terms in the light of contemporary reflections, to eventually pinpoint Kant’s contribution and see how some commentators have placed it within the theory of direct reference. Starting (...) with textual evidence even from the logical corpus, in the present essay I will attempt to discuss some of the arguments dismissing Kant’s adherence to this view. These assume that in his approach to the semantics of natural kind Kant appears to be still holding on to a nominalist/conceptualist position, though he seems to be well aware of a few key issues for the theorists of direct reference. (shrink)

Ever since Strawson’s The Bounds of Sense, the transcendental apperception device has become a theoretical reference point to shed light on the criterionless selfascription form of mental states, reformulating a contemporary theoretical place tackled for the first time in explicit terms by Wittgenstein’s Blue Book. By investigating thoroughly some elements of the critical system the issue of the identification of the transcendental subject with reference to the I think will be singled out. In this respect, the debate presents at least (...) two diametrically opposed attitudes: the first – exemplified in the works by Hacker, Becker, Sturma and McDowell – considers the features of the I think according to Wittgenstein’s approach to the I as subject while the second, exemplified by Kitcher and Carl, criticizes the various commentators who turn to Wittgenstein in order to interpret Kant’s I think. The hypothesis that I will attempt at articulating in this paper starts off not only from the transcendental apperception form, but also from the characterizations of empirical apperception. It may be assumed that Kant’s reflection on the problem of self-identification lies right here, truly prefiguring some features of Wittgenstein’s uses of I, albeit from different metaphysical assumptions and philosophical horizons. (shrink)

In recent years, nonconceptual content theories have seen Kant as a reference point for his notion of intuition (§§ 1-3). This work aims to dismiss the possibility that intuition is provided with an autonomous function of de re knowledge. To this end, it will explore certain epistemological points that emerge from Garroni’s reading of the Third Critique in the conviction that they provide a suitable context to verify the presence of autonomous, epistemically nonconceptual content in the transcendental system (§§ 4-5). (...) It is here, in fact, that Kant discusses those cases where intuition is given without bringing into play the conceptual component. As Garroni posits, in this frame of reference, such content cannot subsist without the interplay between aesthetic and conceptual dimensions (§§ 6-7). Long before the development of the debate on Kantian nonconceptualism, and during the period in which the Kantian debate on the epistemic considerations contained in the Third Critique was developing deeply for the first time, Garroni had already identified a theoretical position on these issues, which can be labelled aesthetic conceptualism, thanks to his fundamentally epistemological reading of the Third Critique. (shrink)

Self-consciousness can be understood as the ability to think I-thou-ghts which can be described as thoughts about oneself ‘as oneself’. Self-consciousness possesses two specific correlated features: the first regards the fact that it is grounded on a first-person perspective, whereas the second concerns the fact that it should be considered a consciousness of the self as subject rather than a consciousness of the self as object. The aim of this paper is to analyse a few considerations about Descartes and Hume’s (...) approaches to self-consciousness, as both philosophers introduce a first-personal method of accessing the subjective dimension through an introspective account. Descartes’s view on self-consciousness seems incapable of conceiving and recognizing herself as herself, while Hume’s seems to lack those features assigned to the consciousness of self-as-subject. (shrink)

The of aim of this paper is to enquire about some theoretical aspects of Kant’s philosophy that are connected to the representation ‘I’ and the question of self-identification in self-consciousness. The subjective capacity to represent itself through the representation ‘I’ will be articulated on the basis of the structure the so-called de se or I-thoughts developed by Perry and Recanati. In this regard, a contrast between Longuenesse’s view and my approach on self-identification and the different uses of I as subject (...) will be considered. (shrink)

Presupponendo l’influenza di alcune tesi dell’idealismo di Kant su alcune tesi di Wittgenstein non solo attraverso la lettura di Schopenhauer, questo contributo prova a ripercorrere alcune contiguità e differenze tra il dispositivo autoreferenziale dell’appercezione trascendentale e certi aspetti emersi dal dibattito contemporaneo sul carattere irriducibile dell’autoascrizione dei pensieri che contengono un riferimento in prima persona, i cosiddetti I-thoughts, dibattito ispirato da Wittgenstein e dalla sua analisi filosofico-linguistica della grammatica del termine “Io”.

Approfondendo lo schema dell’immaginazione, introdotto da Kant nella Critica della Ragione Pura per risolvere l’applicazione tra concetti e intuizioni, diversi commentatori hanno individuato alcuni legami con l’impostazione di Wittgenstein, soprattutto con le nozioni di immagine del Tractatus logico-philosophicus e di regola delle Ricerche filosofiche. Partendo da una prospettiva filosofico-linguistica, in particolare dalla questione della denominazione, questo saggio prova a ripercorrere alcuni punti critici che emergono dal tale confronto (§ 1),affrontando sia le difficoltà epistemiche interne alla riflessione kantiana sia gli aspetti (...) che caratterizzano il suo paradigma procedurale (§ 2e § 3), per individuare un accostamento plausibile all’impresa filosofica di Wittgenstein (§ 4 e § 5). (shrink)

In the last few years, various Kantian commentators have drawn attention on a number of features in the self-reference device of transcendental apperception having emerged from the contemporary debate on the irreducibility of self-ascription of thoughts in the first person. Known as I-thoughts, these have suggested a connection between some aspects of Kant’s philosophy and Wittgenstein’s philosophico-linguistic analysis of the grammatical rule of the term I. This paper would like to review some of such correspondences (§§ 1-3), avoiding any mechanical (...) association between Kant and an elusive reading of the I think, e.g. as suggested mutatis mutandis by McDowell and Kitcher (§§ 4-7). (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.

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)

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

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)

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)

As systems based on opaque Artificial Intelligence (AI) continue to flourish in diverse real-world applications, understanding these black box models has become paramount. In response, Explainable AI (XAI) has emerged as a field of research with practical and ethical benefits across various domains. This paper not only highlights the advancements in XAI and its application in real-world scenarios but also addresses the ongoing challenges within XAI, emphasizing the need for broader perspectives and collaborative efforts. We bring together experts from diverse (...) fields to identify open problems, striving to synchronize research agendas and accelerate XAI in practical applications. By fostering collaborative discussion and interdisciplinary cooperation, we aim to propel XAI forward, contributing to its continued success. Our goal is to put forward a comprehensive proposal for advancing XAI. To achieve this goal, we present a manifesto of 27 open problems categorized into nine categories. These challenges encapsulate the complexities and nuances of XAI and offer a road map for future research. For each problem, we provide promising research directions in the hope of harnessing the collective intelligence of interested stakeholders. (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 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.

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.).

Norm theory (Kahneman & Miller, 1986) described a tendency for people to associate stronger regret with a negative outcome when it is a result of an exception (abnormal behavior) compared to when it is a result of routine (normal behavior). In two pre-registered studies, we conducted a replication and extension of three classic experiments on past behavior exception/routine contrasts (N = 684). We successfully replicated Kahneman and Miller’s (1986) experiments with the classic hitchhiker-scenario (Part 1) and car accident-scenario (Part 2). (...) In both cases, participants examined negative outcomes and tended to indicate a protagonist who deviated from own past behavior as more regretful than another who followed routine. Pre-registered extensions also showed effects for ratings of social norms, negative affect, and perceived luck. We did not find support for the Miller and McFarland (1986) experiment robbery scenario (Part 3) using a compensation measure, in that compensation to a victim of a robbery was not significantly different comparing exceptional and routine circumstances. However, a pre-registered extension showed that robbery under exceptional circumstances was regretted more than robbery under routine circumstances. We discuss implications for current and future research. (shrink)

This paper explores some aspects of Aristotle’s notion of subject for predications. I examine the argument Aristotle develops in Posterior Analytics I.22, 83a1-14. I argue that the notion advanced by Aristotle in that argument is different from the one found in his Categories, although they are far from being incompatible with each other. I also add some philological considerations to justify the Portuguese translation of “hypokeimenon” as “algo subjacente” (“underlying thing”) instead of “sujeito” (“subject”).

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).

I discuss the notion of education or educatedness (paideia) involved in the ‘educated human being’ (pepaideumenos), which Aristotle presents at the beginning of his Parts of Animals and a few other passages. The competence of educated human beings makes them able to evaluate some aspects of the explanations in a given domain without having a determinate knowledge about the specific subject-matter in that domain. I examine how such a competence is possible and how it is related to other critical abilities (...) which Aristotle usually ascribes to the science of being qua being. Discuto a noção de educação ou cultura (paideia) envolvida na figura do ser humano cultivado (pepaideumenos), que Aristóteles apresenta no início do tratado As Partes dos Animais e em algumas outras passagens. A competência do ser humano cultivado o habilita a avaliar certo aspecto das explicações propostas em um dado domínio, sem requerer dele um conhecimento determinado sobre o assunto específico do mesmo domínio. Examino de que modo essa competência é possível e como ela se articula a outras habilidades críticas que Aristóteles geralmente associa à ciência do ser enquanto ser. (shrink)

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

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.

Tradução para o Português de Ethica Nicomachea VI.

I discuss in this paper the six requirements Aristotle advances at Posterior Analytics A-2, 71b20-33, for the premisses of a scientific demonstration. I argue that the six requirements give no support for an intepretation in terms of “axiomatization”. Quite on the contrary, the six requirements can be consistently understood in a very different picture, according to which the most basic feature of a scientific demonstration is to explain a given proposition by its appropriate cause.

I discuss Aristotle's treatment of essence and definition in Metaphysics VII.4. I argue that it is coherent and perfectly in accord with its broader context. His discussion in VII.4 offers, on the one hand, minimal criteria for what counts as definition and essence for whatever kind of object, but also, on the other hand, stronger criteria for a primary sort of definition and essence—and thereby it serves the interest of book VII in pointing to the explanatory power of the essence (...) of composite substances. (shrink)

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

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)

Translation of Aristotle's Posterior Analytics II into Portuguese, with a few notes, experimental glossary and introduction. The translation, which was made at 2002 (with a new printing in 2004), 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.

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

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.

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 Metaphysics Lambda into Portuguese.

Tradução dos livros Z e H da Metafísica de Aristóteles, com introdução e notas. Translation of Aristotle's Metaphysics Books VII and VIII into Portuguese, with Introduction and Notes.

Eu examino cada meandro do esforço de Aristóteles identificar vários usos de termos filosóficos essenciais em sua Metafísica, V.9-17.

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)

I review recent work on Phenomenal Conservatism, the position introduced by Michael Huemer according to which if it seems that P to a subject S, in the absence of defeaters S has thereby some degree of justification for believing P.

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.