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 article, through a critical examination of K. Brad Wray's version of the argument from underconsideration against scientific realism, I articulate a modest version of scientific realism. This modest realist position, which I call ‘relative realism’, preserves the scientific realist's optimism about science's ability to get closer to the truth while, at the same time, taking on board the antirealist's premise that theory evaluation is comparative, and thus that there are no good reasons to think that science's best theories (...) are close to the truth. (shrink)

Purpose of this work is to find the key to understanding the paradox of Descartes’ way of philosophizing during the recourse to the text of "early writings". Realization of the set purpose involves the consistent solving of such tasks: by referring to the research literature, to outline the forms of transition to modern methodology; to explicate the main reasons for philosophy anthropologization by Descartes; to analyze the role of art as the main form of expressing Descartes’ worldview in the "early (...) writings". Theoretical basis. Studies by Descartes experts and the phenomenological tradition. Originality. The analysis of the "early writings" allows to determine the origins of the main doctrine of Descartes’ philosophizing. Its role is manifested in the course of clarifying the main motives of the anthropological approach of the French philosopher. That entails their rootedness in the Copernican-based scientific revolution of the New Age. A prerequisite for the authentic comprehension of the radical change carried out by Descartes is the attention to the paradigmatic significance of art, which is most fully asserted in the "early writings". It is substantiated that the appeal of young Descartes to the experience of art influences his understanding of science, as well as the awareness of human presence in the development of the scientific picture of the world and the distinction of the main components of human nature – mind and will. Conclusions. During the analysis of the contemporary literature devoted to Descartes, there is outlined the tendency to go beyond the notions of naivety and simplicity of his position, one of the manifestations of which is the increased attention to anthropology. The main motives for its actualization are rooted in the scientific revolution of the New Age, which are the form of completion of the radical worldview change initiated by Copernicus. It is about the vision of man as the main component of the universe, attention thereto in the search for the source point and the decisive authority for the world development, reflection of the thinker’s desire to build his own ethical doctrine based on human nature. While comprehending the "early wri-tings", the author focuses on the interpretation by young Descartes of art as a form of expression of truth, which enables the authentic comprehension of human nature. These ideas became the basis for the further work of the thinker, and today they open up new perspectives of exploring the anthropological foundation for later works. (shrink)

Bernard Williams thought that philosophy should address real human concerns felt beyond academic philosophy. But what wider concerns are addressed by Ethics and the Limits of Philosophy, a book he introduces as being ‘principally about how things are in moral philosophy’? In this article, we argue that Williams responded to the concerns of his day indirectly, refraining from explicitly claiming wider cultural relevance, but hinting at it in the pair of epigraphs that opens the main text. This was Williams’s solution (...) to what he perceived as the stylistic problem of how to pursue philosophy as cultural critique. Taking the epigraphs as interpretative keys to the wider resonances of the book, we show how they reveal Williams’s philosophical concerns – with the primacy of character over method, the obligation to follow orders, and the possibility of combining truth, truthfulness, and a meaningful life in a disillusioned world – to be recognisably rooted in the cultural concerns of post-war Britain. In the light of its epigraphs, the book emerges as the critique of a philosophical tradition’s inadequacies to the special difficulties of its cultural moment. (shrink)

There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings qua quantitative and (...) continuous. For their part, the objects of stereometry are potential sensible three-dimensional figures qua quantitative and continuous. (shrink)

Gödel’s first incompleteness theorem is sometimes said to refute mechanism about the mind. §1 contains a discussion of mechanism. We look into its origins, motivations and commitments, both in general and with regard to the human mind, and ask about the place of modern computers and modern cognitive science within the general mechanistic paradigm. In §2 we give a sharp formulation of a mechanistic thesis about the mind in terms of the mathematical notion of computability. We present the argument from (...) Gödel’s theorem against mechanism in terms of this formulation and raise two objections, one of which is known but is here given a more precise formulation, and the other is new and based on the discussion in §1. (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)

Resumen: Este artículo ofrece razones iniciales para interpretar en forma dia-léctica las “pruebas de la existencia divina” que Descartes ofrece en sus Meditaciones III y V. Primero indico algunos precedentes entre los comentaristas contemporáneos y señalo cómo esa manera de abordar los problemas funda-mentales arranca en los clásicos griegos. Después muestro cómo un procedi-miento dialéctico podría resolver un conjunto de problemas que, en principio, incluye el tradicional “círculo cartesiano”. Por último, intento mostrar que no es impensable atribuirle a Descartes una (...) argumentación metafísica del tipo indicado; para ello, esgrimo un pequeño conjunto de argumentos textuales. Mi conclusión es que este tipo de interpretaciones merecen explorarse con mayor esmero.: This paper intends to sketch an initial reason for reading in a dialec-tical way the “proofs of God’s existence” in Descartes’ Meditations, III and V. I begin by indicating antecedents for this kind of interpretation among com-mentators, and show how this approach towards basic philosophical prob-lems can be traced to the Greek classics. I then try to explain how this ar-gumentative procedure can afford in principle a solution to the well-known riddle of the “Cartesian circle”, among other related issues. Finally, I discuss a small set of textual points and show that attributing a dialectical character to Descartes’ main metaphysical arguments should not be taken to be implausi-ble at all. I conclude that interpretations of this kind deserve a more careful exploration. (shrink)

Biologists and philosophers have long recognized the importance of species, yet species concepts serve two masters, evolutionary theory on the one hand and taxonomy on the other. Much of present-day evolutionary and systematic biology has confounded these two roles primarily through use of the biological species concept. Theories require entities that are real, discrete, irreducible, and comparable. Within the neo-Darwinian synthesis, however, biological species have been treated as real or subjectively delimited entities, discrete or nondiscrete, and they are often capable (...) of being decomposed into other, smaller units. Because of this, biological species are generally not comparable across different groups of organisms, which implies that the ontological structure of evolutionary theory requires modification. Some biologists, including proponents of the biological species concept, have argued that no species concept is universally applicable across all organisms. Such a view means, however, that the history of life cannot be embraced by a common theory of ancestry and descent if that theory uses species as its entities.These ontological and biological difficulties can be alleviated if species are defined in terms of evolutionary units. The latter are irreducible clusters of reproductively cohesive organisms that are diagnosably distinct from other such clusters. Unlike biological species, which can include two or more evolutionary units, these phylogenetic species are discrete entities in space and time and capable of being compared from one group to the next. (shrink)

The doctrine of the conceptual priority of the perfect (CPP) is the claim that the concept of the perfect is prior to that of the imperfect insofar as possessing the latter presupposes a grasp of the former, but not vice versa. The goals of this study are to provide an account and defense of the Cartesian argument for CPP, to determine the consequences of this priority for the relationship between our concepts of human and divine properties, and to explore its (...) implications for bottom-up accounts of theological concept formation. I argue that the predicates “perfect” or “infinite” in Descartes’ version of CPP are equivalent to “true” or “genuine” and thus function in the same way they would in geometrical examples where the perfection at issue is definitive of the kind and where imperfection constitutes falling short of the kind. I can thus be said to have the idea of a “perfect” circle (of that which is “infinitely” circular, as it were) merely by virtue of having the idea of a circle, yet I cannot apprehend something as imperfect or finite insofar as it resembles but fails to be a circle unless I already possess a concept of the kind in question—a true or perfect circle. CPP thus implies a qualitative distinction between the perfect and imperfect that, when applied to God and creation, is consistent with a theory of analogy. Unlike traditional ‘bottom-up’ theories of analogy, however, CPP entails a ‘top-down’ order of derivation in which concepts of creaturely perfections are derived (via a sort of ‘partial negation’) from concepts of divine ones. The ‘top-down’ order of derivation yields epistemological advantages over the traditional approach, which had always struggled to explain how we can derive analogical concepts of God from creatures. Further, CPP enables its proponents to address the classic anthropomorphism critiques leveled at practitioners of Perfect Being Theology. Though I acknowledge that CPP is not without its own weaknesses, I present a largely sympathetic account of the argument and its relevance for contemporary philosophy of religion. (shrink)

There is an enduring story about empiricism, which runs as follows: from Locke onwards to Carnap, empiricism is the doctrine in which raw sense-data are received through the passive mechanism of perception; experience is the effect produced by external reality on the mind or ‘receptors’. Empiricism on this view is the ‘handmaiden’ of experimental natural science, seeking to redefine philosophy and its methods in conformity with the results of modern science. Secondly, there is a story about materialism, popularized initially by (...) Marx and Engels and later restated as standard, ‘textbook’ history of philosophy in the English-speaking world. It portrays materialism as explicitly mechanistic, seeking to reduce the world of qualities, sensations, and purposive behaviour to a quantitative, usually deterministic physical scheme. Building on some recent scholarship, I aim to articulate the contrarian view according to which neither of these stories is true. On the contrary, empiricism turns out to be less ‘science-friendly’ and more concerned with moral matters; materialism reveals itself to be, in at least a large number of cases, a ‘vital’, anti-mechanistic doctrine which focuses on the unique properties of organic beings. This revision of two key philosophical episodes should reveal that our history of early modern philosophy is dependent to a great extent on ‘special interests’, whether positivistic or Kantian, and by extension lead us to rethink the relation and distinction between ‘science’ and ‘philosophy’ in this period. (shrink)

Recent research has defended the surprising thesis that in many cases the search for truth is better off if the information exchanged between the members of an epistemic community is limited. This is what one may call the limited information thesis. There is, however, the possibility of an even more radical position than this: the thesis that any communication between peers has zero epistemic value and that the search for truth is better off if the truth-inquirer does not take into (...) consideration the truth-claims of her peers. This can be called the solitude thesis. The paper defends the claim that Descartes is a supporter of the solitude thesis with respect to metaphysical inquiry. The defense is facilitated by means of interpreting textual evidence found in Descartes’ essays Discourse on the Method, The Search for Truth and the Meditations on First Philosophy. (shrink)

The purpose is to reveal and comprehend forms of influence metaphysical' revolution for a way of interpretation of the anthropological project by Descartes on the basis of investigations of modern dekartes's researchers, that is the recognition of a fundamental role of metaphysics. Methodology. As methodological base modern investigations of dekartes's researchers accenting a fundamental role of metaphysics and expediency of unbiassed judgment of heritage of the great thinker are used. The scientific novelty. The transformation of the anthropological project is outlined (...) as manifestation of metaphysical revolution. It is about a transcendencecy of naive anthropology, that is interpretations of human nature as its corporality and transition to metaphysical anthropology which consists in upholding of unconditional priority of human thinking as associated with God. As result of transition concentration of attention on intense human nature, that is at tension between sensuality and intelligence, aspiration to truth and tendency to delusion, between Life and Nothing, etc. Conclusions. The appeal to the incomplete anthropological project of Descartes on the basis of innovative researches allows proving the thesis about influence of metaphysical revolution on a way of its interpretation. The main forms of oriented to science ideals of naive anthropology, trust in evidence of the senses, atheism, interpretation of science as the main form of detection rationality of human nature, which Descartes tends constructively to overcome in the text of "meditation", are highlighted. During creation of metaphysical anthropology the attention of the thinker is drawn by the fact of impossibility of comprehension of human nature by means of natural-science rationality and expediency of the appeal to metaphysics. The subject of attention of the thinker is the tension between sensuality and intelligence, need for truth and tendency to delusion, ontologic tension between Life and Nothing etc. (shrink)