In this paper, I explore a question about deductive reasoning: why am I in a position to immediately infer some deductive consequences of what I know, but not others? I show why the question cannot be answered in the most natural ways of answering it, in particular in Descartes’s way of answering it. I then go on to introduce a new approach to answering the question, an approach inspired by Hume’s view of inductive reasoning.

I argue that Descartes intended the so-called ontological "argument" as a self-validating intuition, rather than as a formal proof. The textual evidence for this view is highly compelling, but the strongest support comes from understanding Descartes's diagnosis for why God's existence is not 'immediately' self-evident to everyone and the method of analysis that he develops for making it self-evident. The larger aim of the paper is to use the ontological argument as a case study of Descartes's nonformalist theory of deduction (...) and his method of analysis, showing how he conceives the latter as a form of philosophical therapy. (shrink)

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

In this paper, I aim to address a specific issue underpinning Cartesian metaphysics since its first public appearance in the Discourse right up until the Meditations, but which definitely came to the surface in the Second and Fifth Replies. It involves the possibility that to be thinking and to be extended do not actually contrast as two entirely different properties; hence, these two essences cannot serve as the basis for a disjunctive, real distinction between two corresponding substances, the mind and (...) the body. I dub this problem the ‘thinking matter issue.’ I suggest that Descartes’s concerns about the ‘thinking matter issue’ characterizes and structures the entirety of Meditation Two and its connection with Meditation Six, especially in the attempt to covertly implement what I refer to as Descartes’s ‘prejudice strategy.’ The core of the ‘prejudice strategy’ lies in the idea that the ‘thinking matter issue’ is just a false problem, one raised by the inadequate notions of the mind and the body that we apply to this problem. In section 1, I set out the way in which the ‘thinking matter issue’ emerged in Descartes’s philosophy after the first exposition of his metaphysics in the Discourse. Section 2 deals with the new argumentative path Descartes draws for the Meditations and with the new role that he assigns to the inference about the mind’s non-physical nature after the cogito. In section 3, I contend that the ‘prejudice strategy’ structures Meditation Two and, partially, Six. Section 4 shows that Descartes himself reveals this in his Replies to the Second and the Fifth Set of Objections. In section 5, I delve into Descartes’s foundational theory of the ‘prejudice strategy,’ i.e. his theory of infancy as set out especially in the Replies to the Sixth Set of Objections. -/- . (shrink)

This paper takes a fresh look at Johannes Clauberg’s Logica vetus et nova, in order to try to clarify its nature and character. Differently from prior readings of Clauberg that analyze his philosophy from the point of view of the construction of ‘ontology’, the approach of the present paper sees in Clauberg’s philosophy a late-Humanist work, accentuating his pedagogic and hermeneutical interests. Indeed, in Clauberg’s philosophy, hermeneutics and pedagogy are intrinsically bound together. This, the paper suggests, is supported not only (...) by the concrete subject-matters of his logic, but also by the examination of Clauberg’s milieu and of his sources. Analysis, in this framework, has a strictly hermeneutical usage. (shrink)

This volume takes cue from the idea that the thought of no philosopher can be understood without considering it as the result of a constant, lively dialogue with other thinkers, both in its internal evolution as well as in its reception, re-use, and assumption as a starting point in addressing past and present philosophical problems. In doing so, it focuses on a feature that is crucially emerging in the historiography of early modern philosophy and science, namely the complexity in the (...) production of knowledge. The book explores the applicability of this approach to a long-considered armchair philosopher, namely René Descartes, who is now more and more understood as a full-blown scientist, networker, and intellectual éminence grise rather than as the mere philosopher of the cogito, as well as the originator of different ‘Cartesianisms’ which encompassed many ideas and approaches for long captured by dichotomic historiographical categories as rationalism and empiricism, or speculative and experimental philosophy. The essays gathered in the volume aim to address the ways in which Descartes’s philosophy evolved and was progressively understood by scientists, philosophers, and intellectuals from different contexts and eras, either by considering direct interlocutors of Descartes such as Isaac Beeckman and Elisabeth of Bohemia, early modern thinkers who developed upon his ideas and on particular topics as Nicolas Malebranche or Thomas Willis, those who adapted his overall methodology in developing new systems of knowledge as Johannes Clauberg and Pierre-Sylvain Régis, and contemporary thinkers from continental and analytic traditions like Emanuele Severino and Peter Strawson. (shrink)

In the Fifth Meditation Descartes considers the problem of knowledge preservation : the challenge of accounting for the diachronic certainty of perfect knowledge [scientia]. There are two general solutions to PKP in the literature: the regeneration solution and the infallible memory solution. While both readings pick up on features of Descartes’ considered view, I argue that they ultimately fall short. Salvaging pieces from both readings and drawing from Descartes’ virtue theory, I argue on textual and systematic grounds for a dispositionalist (...) solution. On this view, the diachronic certainty of scientia is achieved through virtuous habits of belief. (shrink)

The paper discusses the place and the status of fallacies in Arnauld and Nicole’s Port-Royal Logic, which seems to be the first book to introduce a radical change from the traditional Aristotelian account of fallacies. The most striking innovation is not in the definition of a fallacy but in the publication of a new list of fallacies, dropping some Aristotelian ones and adding more than ten new ones. The first part of the paper deals with the context of the book’s (...) publication. We then show the influence of Cartesian and Augustinian/Pascalian philosophy on the whole book, especially their common critical views about logic, dialectic and their traditional academic teaching. The third part of the paper discusses the two chapters on fallacies. It focuses on their place in the book and their relation with its general orientation, before turning to their content, closely connected with some major concerns of the time. (shrink)

This article presents a novel reading of Descartes’s critique of the traditional syllogistic. The reading differs from those previously presented by scholars who regard Descartes’s critique as a version of a well-known argument: that syllogisms are circular or non-ampliative and thus trivial. It is argued that Descartes did not see syllogisms as defective in themselves. For him the problem was rather that anyone considering a valid and informative syllogism must already know, by an intuition wholly independent of the syllogism, that (...) the conclusion follows from the premises. Moreover, without such an intuition the syllogistic on its own is incapable of determining whether the consequence truly holds. Thus the syllogistic is useless unless accompanied by an intuition that renders it otiose. This reading of Descartes’s view is supported and explained by examples drawn from Descartes’s writing and from the Port-Royal Logic—one of the first attempts to develop a logical system on Cartesian principles. (shrink)

This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...) and were influential in their communities, but produced relatively little. In Australia, materialism gained prominence through the work of John Anderson, who arrived in Australia in 1927, and continues to be influential. John Anderson had been a student of Henry Jones, who might therefore be said to have influenced both main strands of Australian philosophical thought. (shrink)

A close reading of Descartes’ works, particularly his Regulae ad Directionem Ingenii, calls into question the common interpretation of Peirce’s ‘Questions Concerning Certain Faculties Claimed for Man’ and ‘Some Consequences of Four Incapacities’ as being anti-Cartesian. In particular, Descartes’ conception of intuition differs from Peirce’s, and on one plausible reading of Descartes his intuitionism actually mirrors Peirce’s inferentialism in key respects. Given these similarities between Descartes and Peirce, the dogmatic status of the anti-Cartesian interpretation of Peirce becomes evident.

This paper presents a new approach to resolving an apparent tension in Descartes’ discussion of scientific theories and explanations in the Principles of Philosophy. On the one hand, Descartes repeatedly claims that any theories presented in science must be certain and indubitable. On the other hand, Descartes himself presents an astonishing number of speculative explanations of various scientific phenomena. In response to this tension, commentators have suggested that Descartes changed his mind about scientific theories having to be certain and indubitable, (...) that he lacked the conceptual resources to describe the appropriate epistemic attitude towards speculative theories, or that the presence of geometrical principles in these explanations guarantee their certainty. I argue that none of these responses is satisfactory and suggest a different resolution to the tension by examining Descartes’ notion of explanation. On Descartes’ view, providing an adequate explanation does not require being certain of the theories that constitute the explanans. Relatedly, the purpose of Cartesian explanations is not to discover the truth about the various underlying mechanisms that such explanations appeal to, but to support his general philosophical thesis that all natural phenomena can be explained by appealing to the extension of matter. (shrink)

The initiation of bipedal gait is a willed action that causes a body at rest to move. Newton's first principle of motion is applied to experimental footprint data. leading to the premise that the big toe is the source of the body action force that initiates and controls bipedal gait.

Analysis has always been at the heart of philosophical method, but it has been understood and practised in many different ways. Perhaps, in its broadest sense, it might be defined as a process of isolating or working back to what is more fundamental by means of which something, initially taken as given, can be explained or reconstructed. The explanation or reconstruction is often then exhibited in a corresponding process of synthesis. This allows great variation in specific method, however. The aim (...) may be to get back to basics, but there may be all sorts of ways of doing this, each of which might be called ‘analysis’. The dominance of ‘analytic’ philosophy in the Englishspeaking world, and increasingly now in the rest of the world, might suggest that a consensus has formed concerning the role and importance of analysis. This assumes, though, that there is agreement on what ‘analysis’ means, and this is far from clear. On the other hand, Wittgenstein's later critique of analysis in the early (logical atomist) period of analytic philosophy, and Quine's attack on the analytic-synthetic distinction, for example, have led some to claim that we are now in a ‘post-analytic’ age. Such criticisms, however, are only directed at particular conceptions of analysis. If we look at the history of philosophy, and even if we just look at the history of analytic philosophy, we find a rich and extensive repertoire of conceptions of analysis which philosophers have continually drawn upon and reconfigured in different ways. Analytic philosophy is alive and well precisely because of the range of conceptions of analysis that it involves. It may have fragmented into various interlocking subtraditions, but those subtraditions are held together by both their shared history and their methodological interconnections. It is the aim of this article to indicate something of.. (shrink)

Descartes holds that when you perceive something with perfect clarity, you are compelled to assent and cannot doubt. (This is a psychological claim.) Many commentators read him as endorsing Psychologism, according to which this compulsion is a matter of brute psychological force. I show that, in Descartes’s view, perfect clarity provides a reason for assent—indeed a perfect reason, which precludes any reason for doubt. (This is a normative claim.) Furthermore, advancing a view I call Rational Force, he holds that the (...) normative claim explains the psychological one: since your will is naturally responsive to reasons, you are compelled to assent because you have a perfect reason to assent. This coheres with his view that will is essentially active, self-determined, and free. The force that clarity exerts on the will is not the brute push of an efficient cause, but the rational pull of a final cause. (shrink)

The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite the arguments (...) advanced by dialetheists, many logicians and philosophers still hold the opinion that contradictions cannot be true. -/- Rather than advocating the truth of certain contradictions, this thesis offers a different challenge to the classical logician. By showing that it can be philosophically coherent to propose that true contradictions are metaphysically possible, the thesis suggests that the classical logician must do more than she currently has to justify her confidence in the impossibility of true contradictions. Simply fighting off the dialetheist’s putative examples of true contradictions at the actual world isn’t enough to justify the classical logician’s conclusion that true contradictions are impossible. -/- To aid the thesis dialectically, we introduce a new position, absolutism, which hypothesises that it’s metaphysically possible for at least one contradiction to be true, contrasting with the dialetheic hypothesis that some contradictions are true in the actual world. We demonstrate that absolutism can be given a philosophically coherent interpretation, an appropriate logic, and that certain criticisms are completely toothless against absolutism. The challenge put to the classical logician is then: On what logical or philosophical grounds can we rule out the metaphysical possibility of true contradictions? (shrink)

This dissertation concerns the methodology Kant employs in the first two sections of the Groundwork of the Metaphysics of Morals (Groundwork I-II) with particular attention to how the execution of the method of analysis in these sections contributes to the establishment of moral metaphysics as a science. My thesis is that Kant had a detailed strategy for the Groundwork, that this strategy and Kant’s reasons for adopting it can be ascertained from the Critique of Pure Reason (first Critique) and his (...) lectures on logic, and that understanding this strategy gains us interpretive insight into Kant’s moral metaphysics. At the most general level of methodology, Kant says there are four steps for the establishment of any science: 1) make distinct the idea of the natural unity of its material 2) determine the special content of the science 3) articulate the systematic unity of the science 4) critique the science to determine its boundaries The first two of these steps are accomplished by the genetically scholastic method of analysis, paradigmatically the method whereby confused and obscure ideas are made clear and distinct, thereby logically perfecting them and transforming them into possible grounds of cognitive insight that are potentially complete and adequate to philosophical purposes. The analysis of Groundwork I is a paradigmatic analysis that makes distinct what is contained in common understanding, i.e. its Inhalt or intension, making distinct the higher partial concepts that together define the concept of morality. The analysis of Groundwork II is an employment more specifically of the method of logical division, which makes distinct what is contained under the concept, i.e. its Umfang, by which the extension or object of morality is determined. Part I introduces Kant’s conception of moral metaphysical science and why he took it to be in need of establishment, explains the general method for establishing science and the scholastic method of analysis by which its first two steps are to be accomplished, then provides an interpretation of Groundwork I as an execution of this method. Part II details Kant’s determination of the special content of moral science in Groundwork II in relation to the central problem for moral metaphysics – how synthetic a priori practical cognition is possible. (shrink)

Descartes held that practicing mathematics was important for developing the mental faculties necessary for science and a virtuous life. Otherwise, he maintained that the proper uses of mathematics were extremely limited. This article discusses his reasons which include a theory of education, the metaphysics of matter, and a psychologistic theory of deductive reasoning. It is argued that these reasons cohere with his system of philosophy.

In this paper we discuss the difference between (...) proliferations of logic systems, the questions of relativity and universality of logic and the position and interaction of logic with regards to other sciences such as physics, biology, mathematics and computer science. (shrink)

This paper offers a reconstruction of Alessandro Piccolomini's philosophy of mathematics, and reconstructs the role of Themistius and Averroes in the Renaissance debate on Aristotle's theory of proof. It also describes the interpretative context within which Piccolomini was working in order to show that he was not an isolated figure, but rather that he was fully involved in the debate on mathematics and physics of Italian Aristotelians of his time. The ideas of Lodovico Boccadiferro and Sperone Speroni will be analysed. (...) This paper demonstrates that Piccolomini's attack on the certitude of mathematics was a product of discussions between Aristotelians. (shrink)

Epistemic Logic is our basic universal science, the method of our cognitive confrontation in reality to prove the truth of our basic cognitions and theories. Hence, by proving their true representation of reality we can self-control ourselves in it, and thus refuting the Berkeleyian solipsism and Kantian a priorism. The conception of epistemic logic is that only by proving our true representation of reality we achieve our knowledge of it, and thus we can prove our cognitions to be either true (...) or rather false, and otherwise they are doubtful. Therefore, truth cannot be separated from being proved and we cannot hold anymore the principle of excluded middle, as it is with formal semantics of metaphysical realism. In distinction, the intuitionistic logic is based on subjective intellectual feeling of correctness in constructing proofs, and thus it is epistemologically encapsulated in the metaphysical subject. However, epistemic logic is our basic science which enable us to prove the truth of our cognitions, including the epistemic logic itself. (shrink)

What is early modern philosophy? Two interpretative trends have predominated in the related literature. One, with roots in the work of Hegel and Heidegger, sees early modern thinking either as the outcome of a process of gradual rationalization (leading to the principle of sufficient reason, and to "ontology" as distinct from metaphysics), or as a reflection of an inherent subjectivity or representational semantics. The other sees it as reformulations of medieval versions of substance and cause, suggested by, or leading to, (...) early modern scientific developments. -/- This book proposes a rather different kind of explanation. It suggests that the concept of relation, specifically that of dyadic, anti-symmetrical relations, can throw light on a wide variety of developments in early modern thought, such as those concerning causality, sense perception, temporality, and the mereological approach to substance. The book argues that these relations are grounded in an interpretation of causal influence, and not in semantic theories or subjectivity. -/- Furthermore, if it is correct that the problem of unity was, for most of classical antiquity, what the problems of motion, causality and perception were for early modern thinkers, then early modern thought is much closer to the thought of Aristotle than is commonly supposed. The genesis of early modern thought might instead be taken to have occurred in opposition to one aspect of the thought of Duns Scotus (an aspect that lives on in contemporary Neo-Aristotelianism), and that can be explained once the relational perspective examined here is taken into account. (shrink)

Generalmente los comentadores han abordado la temática de la intuición en la filosofía de Spinoza desde la perspectiva de la problemática de lo que en la Ética aparece como ciencia intuitiva o tercer genero de conocimiento. En el presente artículo, en cambio, intentamos mostrar que hay en los escritos de Spinoza un concepto de intuición más amplio que el que está implícito en la ciencia intuitiva, del cual esta no sería más que una subespecie. Como paso previo para alcanzar dicho (...) fin, intentaremos mostrar que la concepción de la intuición que sostiene Spinoza está estrechamente emparentada con la concepción cartesiana -de la cual ofrecemos un breve esbozo en el primer apartado- y que ambas concepciones tienen como fundamento la naturaleza de la idea. Generally, critics had tackle the issue of intuition in Spinoza’s philosophy from the point of view of the problem of what in the Ethics is called intuitive science or third kind of knowledge. In the present paper, instead, we try to show that there is in Spinoza`s writings a wider concept of intuition than that which is implied in the intuitive science, being the later no more than a sub-kind of the former. As a previous step to achieve this target, we try to show that Spinoza`s conception of intuition is narrowly tied with the Cartesian conception -of which we offer a brief draft in the first part- and that both conceptions are based on the nature of the idea. (shrink)

The ArgumentThe main subject examined in this paper is Immanuel Kant's controversy withPhilosophisches Magazinregarding Kant's new theory of judgments. J. A. Eberhard, editor ofPhilosophisches Magazin, and his colleagues wanted to vindicate the Wollfian traditional concept of judgments by undermining Kant's claims. As will be demonstrated, their arguments were effective mainly in exposing the ambiguity that was inherent in Kant's concept of the synthetic a priori; an ambiguity that resulted from Kant's desire—central to his critique of metaphysics—to present judgments pertaining to (...) mathematics, (dogmatic) metaphysics, and pure natural science as judgments which shared a common form. Exposing this ambiguity was not the intended result, and it was insufficient for the purpose of vindicating the Wollfian tradition. The contributors toPhilosophisches Magazinignored the important properties shared by the class of judgments falling under Kant's concept of synthetic a priori judgments. They also ignored the fact that their position was unable to account for the logical phenomena that motivated Kant to present a new theory of judgments. On the other hand, Kant's theory of judgments was insensitive to the important differences that exist among the distinct types of judgments falling under his concept of a synthetic a priori judgment. This latter point is clearly shown in the controversy regarding the novelty of Kant's concept of a synthetic a priori judgment, and in the controversy regarding the function of intuitions within synthetic judgments.A result of the controversy was that Kant's concept of the synthetic a priori, which he believed to be an exact concept, was revealed to be a metaphor: no more than an invitation to view certain intellectual fields in the light of others. On the other hand, Eberhard and his colleagues failed to come up with satisfactory answers to Kant's questions within their traditional concept of judgment. Both parties refused to acknowledge this result. Consequently, the search for a new logic, a new architectonic order, and a new unity within reason became a general problem for the new generation of philosophers. (shrink)

What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (shrink)

This paper considers just how memory works throughout the Meditations to adduce Descartes’s conception of memory. Examining the meditator’s memory at work raises some questions about the nature of Cartesian memory and its epistemic role. What is the distinction between remembering and repeating a thought? If remembering is not simply repeating a thought, then what is involved in properly remembering? Can we remember properly while adding or shifting content, say, in virtue of articulating relations between ideas? If so, what is (...) the relation between remembering and reasoning, since both would then involve relations of ideas? These questions become salient in considering the meditator’s creative recollections in the Third and especially the Sixth Meditations. After briefly considering what Descartes does say about memory, I consider two other strategies for addressing those questions: an analogy with innate ideas, and attending to the role that other thinkers play in one’s own recollections. (shrink)