The main purpose of the paper concerns the question of the existence of hard mathematical facts as truth-makers of mathematical sentences. The paper defends the standpoint according to which hard mathematical facts do not exist in semantic models of mathematical theories. The argumentative line in favour of the defended thesis proceeds as follows: slingshot arguments supply us with some reasons to reject various ontological theories of mathematical facts; there are two ways of blocking these arguments: through the rejection of the (...) principle of extensionality for individual terms or through the rejection of the principle of Wittgenstein; the first way cannot be accepted because it leads to the practice of softening mathematical facts; the second way, called fine-graining facts, cannot be accepted because it also results in the practice of softening facts. Hence, only soft mathematical facts can be introduced into semantic models of mathematical theories. Because they should be rather interpreted as mental representations of mathematical objects, they no longer satisfy the semantic role of truth-makers in relation to mathematical sentences. The argument formulated in the paper is based on the analysis of mathematical extensions of the basic non-Fregean logic. Sixty-two definitions of potential fact-identity connectives are also presented. The paper's conclusion may be interpreted as undermining the situational paradigm of building semantics for mathematical languages. (shrink)

This paper is a contribution to the historical roots of the analytical tradition. As Michael Dummett points out in his Origins of Analytic Philosophy, many tendencies in Central European thought contributed to the early development of analytic philosophy. Dummett himself concentrates on just one aspect of this historical complex, namely on the relationship between the theories of meaning and reference developed by Frege and by Husserl in the years around the turn of the century. It is to this specific issue (...) that the present essay is devoted, though we attempt a more sympathetic reading of Husserl's views on these matters than is to be found in Dummett’s work. Topics covered include Husserl’s theory of intentionality, his view of meanings as types or essences of mental acts, of the relation between meaning and expression, of states of affairs, and of indexicality. (shrink)

This book is a survey of the most important developments in Austrian philosophy in its classical period from the 1870s to the Anschluss in 1938. Thus it is intended as a contribution to the history of philosophy. But I hope that it will be seen also as a contribution to philosophy in its own right as an attempt to philosophize in the spirit of those, above all Roderick Chisholm, Rudolf Haller, Kevin Mulligan and Peter Simons, who have done so much (...) to demonstrate the continued fertility of the ideas and methods of the Austrian philosophers in our own day. For some time now, historians of philosophy have been gradually coming to terms with the idea that post-Kantian philosophy in the German-speaking world ought properly to be divided into two distinct traditions which we might refer to as the German and Austrian traditions, respectively. The main line of the first consists in a list of personages beginning with Kant, Fichte, Hegel and Schelling and ending with Heidegger, Adorno and Bloch. The main line of the second may be picked out similarly by means of a list beginning with Bolzano, Mach and Meinong, and ending with Wittgenstein, Neurath and Popper. As should be clear, it is the Austrian tradition that has contributed most to the contemporary mainstream of philosophical thinking in the Anglo-Saxon world. For while there are of course German thinkers who have made crucial contributions to the development of exact or analytic philosophy, such thinkers were outsiders when seen from the perspective of native German philosophical culture, and in fact a number of them found their philosophical home precisely in Vienna. When, in contrast, we examine the influence of the Austrian line, we encounter a whole series of familiar and unfamiliar links to the characteristic concerns of more recent philosophy of the analytic sort. As Michael Dummett points out in his Origins of Analytic Philosophy, the newly fashionable habit of referring to analytic philosophy as "Anglo-American" is in this light a "grave historical distortion". If, he says, we take into account the historical context in which analytic philosophy developed, then such philosophy "could at least as well be called "Anglo-Austrian" (1988, p. 7). Much valuable scholarly work has been done on the thinking of Husserl and Wittgenstein, Mach and the Vienna Circle. The central axis of Austrian philosophy, however, which as I hope to show in what follows is constituted by the work of Brentano and his school, is still rather poorly understood. Work on Meinong or Twardowski by contemporary philosophers still standardly rests upon simplified and often confused renderings of a few favoured theses taken out of context. Little attention is paid to original sources, and little effort is devoted to establishing what the problems were by which the Austrian philosophers in general were exercised -- in spite of the fact that many of these same problems have once more become important as a result of the contemporary burgeoning of interest on the part of philosophers in problems in the field of cognitive science. (shrink)

In this article, I seek to assess the extent to which Theism, the claim that there is a God, can provide a true fundamental explanation for the existence of the infinite plurality of concrete and abstract possible worlds, posited by David K. Lewis and Alvin Plantinga. This assessment will be carried out within the (modified) explanatory framework of Richard Swinburne, which will lead to the conclusion that the existence of God provides a true fundamental explanation for these specific entities. And (...) thus, given the truth of this type of explanation, we have another good abductive argument for God’s existence and grounds for affirming a weaker form of the principle of methodological naturalism in our metaphysical theorising. (shrink)

Brouwer’s view on induction has relatively recently been characterised as one on which it is not only intuitive (as expected) but functional, by van Dalen. He claims that Brouwer’s ‘Ur-intuition’ also yields the recursor. Appealing to Husserl’s phenomenology, I offer an analysis of Brouwer’s view that supports this characterisation and claim, even if assigning the primary role to the iterator instead. Contrasts are drawn to accounts of induction by Poincaré, Heyting, and Kreisel. On the phenomenological side, the analysis provides an (...) alternative to that in Tieszen’s Mathematical Intuition, and confirms a view of Gödel on his Dialectica Interpretation. (shrink)

¿Qué es la mente humana? ¿Es un aspecto de la naturaleza? ¿O acaso la trasciende? ¿Se puede explicar enteramente al hombre en un lenguaje científico-natural? Desde que Aristóteles definió al hombre como un "animal racional", el pensamiento occidental ha erigido una distinción ontológica entre hombre y naturaleza. Sin embargo, el darwinismo nos ha legado una verdad ineludible: que somos organismos animales, cuyas capacidades conceptuales no escapan a los procesos propios de la naturaleza. ¿Se puede, entonces, pensar al hombre como un (...) ser mental, y al mismo tiempo como un organismo natural? Para ello, sin duda, será necesario reformular los conceptos tradicionales de "mente" y de "naturaleza" en busca de una reconciliación conceptual. El siguiente volumen recorre campos como la fenomenología trascendental, la lógica, la biología, la semiótica, la lingüística y la psicología con el fin de superar este dualismo tan antiguo como la filosofía. (shrink)

This paper attempts to show the real nature of Universal Grammar. Universal grammar is separate part of human mind which makes language learning possible and generative. Universal grammar is the symbolic and systematic rules inside our mind. These rules help us to classify, analyze, differentiate, assimilate, understand and recognize human language. This paper determines the real nature of philosophical grammar and discusses the modular and non-modular approach of it. I shall examine the critical approaches of Wittgenstein and Chomsky and their (...) comparison to investigate the philosophical grammar. (shrink)

Festschrift in Honor of Barry Smith on the occasion of his 65th Birthday. Published as issue 4:4 of the journal Cosmos + Taxis: Studies in Emergent Order and Organization. Includes contributions by Wolfgang Grassl, Nicola Guarino, John T. Kearns, Rudolf Lüthe, Luc Schneider, Peter Simons, Wojciech Żełaniec, and Jan Woleński.

This paper aims to introduce Meinongian Abstractionism (MA), i.e. a view on the metaphysics of truthmaking and modality. This approach is based on the notion of objectives—one of the key elements of Alexius Meinong’s Theory of Objects. In the light of it, worlds are interpreted in terms of sets of subsistent and non-subsistent objectives. This—along with Meinong’s characterization of objectives—provides a ground for possible as well as impossible worlds. One of the consequences of Meinongain Abstractionism is a reformulation of the (...) relation of truthmaking in modal terms. Importantly, this reformulation avoids the problem of too-coarse grained analysis of truthmakers. This makes MA a metaphysically–oriented supporter of the so-called ‘hyperintensional revolution.’. (shrink)

This article considers the concept of Sachverhalt in the Austrian philosophical tradition of the 19 th century. In particular, we examine the works of Bernard Bolzano, Rudolf Lotze, Julius Bergmann, Franz Brentano, Karl Stumpf, Anton Marty and Alexius Meinong. The emergence of the concept of Sachverhalt, or the state of things, in extensive philosophical discussions is connected with the works of L. Wittgenstein and phenomenologist Adolf Reinach. Reinach criticized previous theories of judgment. He wrote that they were built on the (...) evaluation, affirmation or negation of a particular object. And that is a mistake. Only introduction of the concept of Sachverhalt allows us to solve a number of logical contradictions that faces the theory of judgment. We find this term in the works of Lotze and Stumpf, but what is its position in their theories? Does it solve the problems that mentions Reinach? Therefore, in this study, we answer the question of how fair is Reinach’s criticism. Also we analyze the various theories of judgment in Austrian philosophy to determine whether it is possible to speak of Sachverhalt as a single entity connecting the concepts of all authors in the Austrian tradition. (shrink)

The thesis examines the theoretical relationship between law and ethics. Its methodology is informed by both the existentialist tradition of ethical phenomenology and the natural law tradition in legal theory. The main claim of the thesis is that a phenomenological analysis of ethical experience, as suggested by the writings of existentialist authors such as Jean-Paul Sartre and Emmanuel Levinas, provides important support for the natural law tradition. This claim is developed and defended through detailed engagement with the natural law theory (...) of John Finnis. Specifically, I contend that Finnis’ account of moral reasoning as applying the principles of practical reasonableness to a context of self-evident, basic values gains significant support from a phenomenological theory of ethical experience. Finnis’ emphasis on the irreducible role of choice in moral deliberation also finds support in the existentialist tradition. However, I criticise some key aspects of Finnis’ theory, including his emphasis on the transcendental character of the basic values and his account of legal obligation. I begin by outlining some central features of the existentialist approach to philosophy. I advance an interpretation of existentialism as ethical phenomenology. I then discuss some possible methodological connections between the existentialist and natural law traditions. This discussion provides the methodological framework for the remainder of the thesis. The thesis develops and defends a substantially original theory of the relationships between law, ethics and politics. The exposition begins with an account of the relationship between law and community that draws upon the work of Finnis and G. W. F. Hegel. I then outline a phenomenological theory of ethical experience, drawing in particular on the writings of Sartre and Levinas. I employ this phenomenological account of ethics to develop a conception of moral reasoning as reflective, good faith engagement with pre-reflective social judgements of ethical significance. This view of ethical experience and moral reasoning is then used as the basis for an examination of the concept of law and its relationship to political discourse. I turn next to the notions of legal authority and obligation. I argue that law, in the focal sense of the term, presents a generic, peremptory obligation that is necessarily moral in character. In the course of the argument, I critically discuss the conceptions of legal authority proposed by Joseph Raz, Adolf Reinach, H. L. A. Hart, John Rawls, Finnis, Jacques Derrida and Hans Kelsen. This view of legal obligation entails there are fundamental moral conditions that positive rules must satisfy to qualify as law, in the focal sense. I explore the nature of the moral framework created by these conditions through a detailed analysis of the ethical foundations of political discourse. I argue that political discourse is founded upon an ontological apprehension of the nature of humans as free, ethical beings, which finds expression in a developed notion of political freedom. I suggest that the distinction between positive and negative forms of freedom advanced by Isaiah Berlin is best understood in terms of the different types of political claims invoked by those conceptions. I develop this theory by reference to the work of Charles Taylor, Gerald C. MacCallum, Wesley Newcomb Hohfeld, W. D. Ross, Robert Nozick and F. A. Hayek. I conclude by discussing the role of ethical experience in the interpretation of legal materials. I argue that ethical judgements play an irreducible role in constructing the natural interpretive context for judicial reasoning. I engage with the work of Hart, Lon L. Fuller, Martin Heidegger, Hans-Georg Gadamer, Ferdinand de Saussure and Ronald Dworkin, among others. In the final substantive chapter of the thesis, the potential for ethical judgements to play a constructive role in judicial action is illustrated through a detailed discussion of the doctrine of government neutrality. (shrink)

This compelling reevaluation of the relationship between logic and knowledge affirms the key role that the notion of judgement must play in such a review. The commentary repatriates the concept of judgement in the discussion, banished in recent times by the logical positivism of Wittgenstein, Hilbert and Schlick, and the Platonism of Bolzano. The volume commences with the insights of Swedish philosopher Per Martin-Löf, the father of constructive type theory, for whom logic is a demonstrative science in which judgement is (...) a settled feature of the landscape. His paper opens the first of four sections that examine, in turn, historical philosophical assessments of judgement and reason; their place in early modern philosophy; the notion of judgement and logical theory in Wolff, Kant and Neo-Kantians like Windelband; their development in the Husserlian phenomenological paradigm; and the work of Bolzano, Russell and Frege. The papers, whose authors include Per Martin-Löf, Göran Sundholm, Michael Della Rocca and Robin Rollinger, represent a finely judged editorial selection highlighting work on philosophers exercised by the question of whether or not an epistemic notion of judgement has a role to play in logic. The volume will be of profound interest to students and academicians for its application of historical developments in philosophy to the solution of vexatious contemporary issues in the foundation of logic. ​. (shrink)

En 1894 Twardowski et Husserl exposent leurs positions divergentes concernant les objets intentionnels tels qu’ils sont introduits par la psychologie brentanienne. Alors que, selon Twardowski, ces objets sont en un certain sens immanents à l’acte de la conscience, Husserl insiste sur le fait que ce n’est rien d’autre que l’objet réel lui-même qui devient intentionnel en tant que visé par un tel acte. Derrière cette controverse se cache, d’ailleurs, la question cruciale de savoir comment penser le passage de la conscience (...) au monde, dont la réponse se trouve dans le concept d’intentionnalité. (shrink)

In other works, I’ve proposed a solution to the semantic paradoxes which, at the technical level, basically relies on failure of contraction. I’ve also suggested that, at the philosophical level, contraction fails because of the instability of certain states of affairs. In this paper, I try to make good on that suggestion.

The paper presents a new argument supporting the ontological standpoint according to which there are no mathematical facts in any set theoretic model of arithmetical theories. It may be interpreted as showing that it is impossible to construct fact-arithmetic. The importance of this conclusion arises in the context of cognitive science. In the paper, a new type of slingshot argument is presented, which is called hyper-slingshot. The difference between meta-theoretical hyper-slingshots and conventional slingshots consists in the fact that the former (...) are formulated in the semantic meta-language of mathematical theories without the use of the iota-operator or the lambda-operator as the abstractor, whereas the latter require for their expression at least one of these non-standard term-operators. Hyper-slingshots implement simpler language tools in comparison with those used in conventional slingshots. (shrink)