The origins of mathematics, a close connection and interpenetration of its parts, and uniform procedures of dealing with the mathematical matter - all of them speak in favour of the integrality of mathematics. It seems that a strong argument for such a view is a fundamental object of contemporary mathematics; namely a real line, which contains real numbers (so arithmetics as well) and constitutes a basis of geometry, mathematical analysis and all derivative branches. From the basic-structures perspective it is clear (...) that the real line is an exceptionally complex structure, for it contains the ordered structure (generated by the less-than relation), the algebraic structure (generated by addition and multiplication), the gemetrical structure (generated by translations and reflections) and the topological structure (generated by open intervals). This example explains, at least to some extent, the integrality and also the vivacity of mathematics. On the other hand, the integrality has not been confirmed by comprising the whole mathematics in one axiomatised, deductive theory. Moreover, the increasing „volume” of mathematics, unwillingness of mathematicians to cross the specialisation-barriers, emphasis on utility (models) and difficulties with axiomatisations of some parts of mathematics cast some doubts on the integrality in question. (shrink)

The article recalls shortly the early story of cooperation between the already existing Lvov philosophical school, headed by Twardowski, and the just then establishing Warsaw mathematical school, headed by Sierpiski. After that recollection the article proceeds to contributions made by men influenced by the two schools. Most prominent of them was Alfred Tarski whose work in those times, concentrated mainly upon the theory of deduction, axiom of choice, cardinal arithmetic, and measure problem, has been described in some detail.

Primary object of interest of mathematicians can be identified as a „mathematical matter”, the concept analogous to „physical matter” or „biological matter”. The „mathematical matter” is the soil upon which mathematics grows. One can distinguish three levels of it: some abstract but not necessarily clear conceptions, operational notions (like number) but not necessarily openly defined, theories not necessarily axiomatic. The „mathematical matter” originates in the abstract reflection upon events and forms in time and space. Its important elements are notions formed (...) mostly in the process of idealization and/or abstraction. Once formed, notions usually evolve being, e.g., simplified or complexified. Mathematics is a mirror of the world, most abstract and therefore fundamental. Although it is a free activity of human mind, mathematics reflects some deep ideas (beauty, simplicity etc.) while most interesting notions come up in tension fields between pairs of poles: the notion of a function can be seen as a bridge connecting variability and immutability, while that of a limit – connecting finiteness and infinity. A fusion of freedom and internal restrictions leads to mathematics which is simple, beautiful and effective. (shrink)

The vivacity of mathematics results (partly) from the fact that mathematics is stretched between several poles, not being committed to any one. The paper presents the following polarities: realism - idealism, the finite - the infinite, the discrete - the continuous, the approximate - the exact, certitute - probability, simplicity - complexity, unity - multiplicity.

la historia del escepticismo es oscura. Si bien se reconoce la existencia, misteriosa y discutida, de un escepticismo académico platónico, hay algunas dudas de la realidad inequívoca de una escuela pirrónica radical. En este artículo vamos a discutir, primero, hasta qué punto puede hablarse de escuela, secta o grupo filosófico pirrónico, y, segundo, si, como veremos, hay dudas del reconocimiento de este homogéneo grupo ¿por qué se habla de ella de ‘escuela’, ‘secta’ o ‘sistema’ pirrónico?

Raised right -- Something to believe in : modern American conservatism & the paternal rights discourse -- Penetrating the inner sanctum : William F. Buckley, Jr., paternal desire, and the rights of man -- "The greatest nation on earth" : Ronald Reagan, fathers, and the rights of Americans -- All the rage : Clarence Thomas, daddy, and the tragedy of rights -- A nightmare walking : the haunting of modern American conservatism.

While Hermann Levin Goldschmidt didn’t read Yiddish anarchists, there seems to have been a convergent evolution in their thinking. Goldschmidt’s looking up to Jewish lore as a source of liberating creativity is commonly encountered in Yiddish anarchist texts. His view of action as a constant response to internal and external challenges in the struggle for an open future is developed by Isaac Nachman Steinberg on the basis of nineteenth-century vitalism. Goldschmidt’s theory of anarchist individualism as willed self-limiting solidarity has a (...) compelling parallel in Hillel Solotaroff’s view of history. His use of impressionism and photography to eternalize the immediacy of human actuality is akin to Rudolf Rocker’s championing of decadent literature. In both cases, the goal of anarchism is not a dictatorship of the former downtrodden, but a continuous and contradictory evolution of freedom in ever-changing contexts. (shrink)

This long-awaited translation of Das literarische Kunstwerk makes available for the first time in English Roman Ingarden's influential study. Though it is inter-disciplinary in scope, situated as it is on the borderlines of ontology and logic, philosophy of literature and theory of language, Ingarden's work has a deliberately narrow focus: the literary work, its structure and mode of existence. The Literary Work of Art establishes the groundwork for a philosophy of literature, i.e., an ontology in terms of which the (...) basic general structure of all literary works can be determined. This "essential anatomy" makes basic tools and concepts available for rigorous and subtle aesthetic analysis. (shrink)

Women are commonly stereotyped as more risk averse than men in financial decision making. In this paper we examine whether this stereotype reflects gender differences in actual risk-taking behavior by means of a laboratory experiment with monetary incentives. Gender differences in risk taking may be due to differences in valuations of outcomes or in probability weights. The results of our experiment indicate that value functions do not differ significantly between men and women. Men and women differ in their probability weighting (...) schemes, however. In general, women tend to be less sensitive to probability changes. They also tend to underestimate large probabilities of gains more strongly than do men. This effect is particularly pronounced when the decisions are framed in investment terms. As a result, women appear to be more risk averse than men in specific circumstances. (shrink)

Women are commonly stereotyped as more risk averse than men in financial decision making. In this paper we examine whether this stereotype reflects gender differences in actual risk-taking behavior by means of a laboratory experiment with monetary incentives. Gender differences in risk taking may be due to differences in valuations of outcomes or in probability weights. The results of our experiment indicate that value functions do not differ significantly between men and women. Men and women differ in their probability weighting (...) schemes, however. In general, women tend to be less sensitive to probability changes. They also tend to underestimate large probabilities of gains more strongly than do men. This effect is particularly pronounced when the decisions are framed in investment terms. As a result, women appear to be more risk averse than men in specific circumstances. (shrink)

Обґрунтовано стратегію високочастотної біржової торгівлі (high-frequency trading) акціями. Для цього досліджено особливості та обмеження біржової високочастотної торгівлі, визначено верхню межу прибутку агресивного «шкідливого» високочастотного трейдера, обґрунтовано оптимальну частоту стратегії біржової високочастотної торгівлі акціями, розглянуто емпіричне підтвердження прогнозованості біржових курсів акцій на надкоротких горизонтах інвестування.

According to J=K, only beliefs that qualify as knowledge are epistemically justified. Traditionalists about justification have objected to this view that it predicts that radically deceived subjects do not have justified beliefs, which they take to be counter-intuitive. In response, proponents of J=K have argued that traditionalists mistake being justified with being excused in the relevant cases. To make this response work, Timothy Williamson has offered a dispositional account of excuse which has recently been challenged by Jessica Brown. She has (...) presented cases in which Williamson’s account excuses subjects believing things in an epistemically reckless fashion. To steer clear of Brown’s counterexamples, I argue for a modification of Williamson’s account that employs a more fine-grained notion of the dispositions involved. (shrink)

"Vom Erkennen des literarischen Kunstwerks" ist zuerst (poln. 1937) als erkenntnistheoretisches - und geringfügig populäreres - Pendant zur ontologischen Theorie "Das literarische Kunstwerk" (1931) angelegt. In der deutschen Fassung (Erstpublikation 1968) wird es zum gedankenreichen literaturphilosophischen Alterswerk. Wie schon "Der Streit um die Existenz der Welt" (Erstpublikation 1947/48), so ist auch "Vom Erkennen" als Antwort auf Krieg, Völkermord und Totalitarismen zu lesen, im Sinne des Beharrens auf den Fundamenten der humanen Existenz. Dem "Ende der Ontologie" setzt Roman Ingarden (1893-1970) (...) den Nachweis der Notwendigkeit ontologischer Reflexion bei der Ergründung erkenntnistheoretischer Sachverhalte entgegen (vgl. die 'ästhetische Konkretisation'), der am Wert verzweifelten Nachkriegsliteratur die Erörterung der Werte, Wertqualitäten und ihrer möglichen Synthesen im konkretisierten literarischen Kunstwerk. Gegenüber "Das literarische Kunstwerk" arbeitet er neu die quasi-zeitliche Dimension des literarischen Kunstwerks aus, 'entdeckt' die künstlerischen Funktionen der Unbestimmtheit, bezieht die Lyrik und das Gattungswesen der Literatur ein und analysiert die verschiedenen Erkenntnisziele und -zugänge zum literarischen Kunstwerk. Dem Liebhaber vermittelt das Buch eine Begründung des legitimen Entzückens am ästhetischen Gegenstand, dem Literaturwissenschaftler eine Grundlegung seiner analytischen und funktionellen Erkenntnisoperationen. Ein ausführliches analytisches Inhaltsverzeichnis, ein davon abgeleitetes System von Kolumnentiteln sowie ein Personenverzeichnis erleichtern in dieser neuen Ausgabe die Arbeit mit diesem Buch. (shrink)

In two recent papers Barry Loewer (2001, 2004) has suggested to interpret probabilities in statistical mechanics as Humean chances in David Lewis’ (1994) sense. I first give a precise formulation of this proposal, then raise two fundamental objections, and finally conclude that these can be overcome only at the price of interpreting these probabilities epistemically.

Dennis Ahern and David Soles raise substantial problems for the conventional interpretation of Mo Tzu as a utilitarian. Although they defend different interpretations, both scholars agree that Mo Tzu is committed to a divine command theory in some form, citing the same key passages where, supposedly, Mo Tzu explicitly endorses the divine command theory. In this paper, I defend the orthodox interpretation, insisting that Mo Tzu is a utilitarian. I show that the passages cited by Ahern and Soles do not (...) explicitly endorse the divine command theory and are compatible with the utilitarian interpretation; in fact, I argue that many of these passages must be understood in light of a utilitarian interpretation if they are to be rendered intelligible at all. After showing that motivation for the divine command interpretation is lacking, I argue that the only satisfactory alternative is to understand Mo Tzu as a consistent utilitarian. (shrink)

In the paper some applications of Gödel's incompleteness theorems to discussions of problems of computer science are presented. In particular the problem of relations between the mind and machine (arguments by J.J.C. Smart and J.R. Lucas) is discussed. Next Gödel's opinion on this issue is studied. Finally some interpretations of Gödel's incompleteness theorems from the point of view of the information theory are presented.

Machine ethics and robot rights are quickly becoming hot topics in artificial intelligence and robotics communities. We will argue that attempts to attribute moral agency and assign rights to all intelligent machines are misguided, whether applied to infrahuman or superhuman AIs, as are proposals to limit the negative effects of AIs by constraining their behavior. As an alternative, we propose a new science of safety engineering for intelligent artificial agents based on maximizing for what humans value. In particular, we challenge (...) the scientific community to develop intelligent systems that have human-friendly values that they provably retain, even under recursive self-improvement. (shrink)

This volume is a serious attempt to open up the subject of European philosophy of science to real thought, and provide the structural basis for the interdisciplinary development of its specialist fields, but also to provoke reflection on the idea of ‘European philosophy of science’. This efforts should foster a contemporaneous reflection on what might be meant by philosophy of science in Europe and European philosophy of science, and how in fact awareness of it could assist philosophers interpret and motivate (...) their research through a stronger collective identity. The overarching aim is to set the background for a collaborative project organising, systematising, and ultimately forging an identity for, European philosophy of science by creating research structures and developing research networks across Europe to promote its development. (shrink)

Why do systems prepared in a non-equilibrium state approach, and eventually reach, equilibrium? An important contemporary version of the Boltzmannian approach to statistical mechanics answers this question by an appeal to the notion of typicality. The problem with this approach is that it comes in different versions, which are, however, not recognised as such, much less clearly distinguished, and we often find different arguments pursued side by side. The aim of this paper is to disentangle different versions of typicality-based explanations (...) of thermodynamic behaviour and evaluate their respective success. My conclusion will be that the boldest version fails for technical reasons, while more prudent versions leave unanswered essential questions. (shrink)

Roman Ingardens frühe Schriften zur Erkenntnistheorie, die hier als Band 6 der von Rolf Fieguth und Guido Küng geleiteten »Gesammelten Werke« vorliegen, umfassen seine Dissertation über »Intuition und Intellekt bei Henri Bergson« und drei andere, zum Teil hier erstmals veröffentlichte Arbeiten aus der Frühperiode des hervorragenden polnischen Phänomenologen. Insgesamt bieten sie ein gutes Bild von dem auch für Ingardens Gesamtwerk sehr wichtigen und bisher nicht gebührend beachteten erkenntnistheoretischen Projekt, mit dem Ingarden in Anknüpfung an Edmund Husserl und andere Phänomenologen, (...) aber auch unter Verwendung eigener origineller Ideen die Möglichkeit einer autonomen Epistemologie nachzuweisen versucht. (shrink)

The volume contains twenty essays devoted to the philosophy of mathematics and the history of logic. They have been divided into four parts: general philosophical problems of mathematics, Hilbert's program vs. the incompleteness phenomenon, philosophy of mathematics in Poland, mathematical logic in Poland. Among considered problems are: epistemology of mathematics, the meaning of the axiomatic method, existence of mathematical objects, distinction between proof and truth, undefinability of truth, Goedel's theorems and computer science, philosophy of mathematics in Polish mathematical and logical (...) schools, beginnings of mathematical logic in Poland, contribution of Polish logicians to recursion theory. (shrink)

This long-awaited translation of Das literarische Kunstwerk makes available for the first time in English Roman Ingarden's influential study. Though it is inter-disciplinary in scope, situated as it is on the borderlines of ontology and logic, philosophy of literature and theory of language, Ingarden's work has a deliberately narrow focus: the literary work, its structure and mode of existence. The Literary Work of Art establishes the groundwork for a philosophy of literature, i.e., an ontology in terms of which the (...) basic general structure of all literary works can be determined. This "essential anatomy" makes basic tools and concepts available for rigorous and subtle aesthetic analysis. (shrink)

As scientists spend a substantial part of their time building, testing, comparing and revising theories or models, it is no surprise that the nature of theories and models is a subject of central importance within the philosophy of science. This book provides a critical survey of, and introduction to, the debates surrounding theories and models within analytical philosophy of science. It combines coverage of standard topics such as the syntactic and semantic views of theories as well as ones less often (...) discussed in connection with models and theories but which nevertheless are shown to have a clear bearing on the topic, such as Munich structuralism, thought experiments, the applicability of mathematics in the empirical sciences and measurement theory. The book provides a clearly structured and systematic introduction to a field, which, due to its richness and complexity, can be difficult to master. (shrink)

The paper proposes an outline of a reconciliatory approach to the perennial controversy between epistemological realism and anti-realism (constructionism). My main conceptual source in explaining this view is the philosophy of pragmatism, more specifically, the epistemological theories of George H. Mead, John Dewey, and also William James’ radical empiricism. First, the paper analyzes the pragmatic treatment of the goal-directedness of action, especially with regard to Mead’s notion of attitudes, and relates it to certain contemporary epistemological theories provided by the cognitive (...) sciences (Maturana, Rizzolatti, Clark). Against this background, the paper presents a philosophical as well as empirical justification of why we should interpret the environment and its objects in terms of possibilities for action. In Mead’s view, the objects and events of our world emerge within stable patterns of organism-environment interactions, which he called “perspectives”. According to pragmatism as well as the aforementioned cognitive scientists, perception and other cognitive processes include not only neural processes in our heads but also the world itself. Elaborating on Mead’s concept of perspectives, the paper argues in favor of the epistemological position called “constructive realism.”. (shrink)

John Dewey's Ethics: Democracy as Experience.

Авторами розглянуто вплив провідних світових кредитних рейтингових агентств на фінансову безпеку емітентів цінних паперів. Обґрунтовано перформативний характер діяльності кредитних рейтингових агентств з позицій моделі «Les economies de la grandeur» нового соціологічного французького інституціоналізму, що дає змогу розв’язати протиріччя щодо сильної опозиції стосовно їх функціонування з одночасним збереженням діючої системи нормативного використання кредитних рейтингів.

Narrative views of agency and identity arise in opposition to reductionism in both domains. While reductionists understand both identity and agency in terms of their components, narrativists respond that life and action are both constituted by narratives, and since the components of a narrative gain their meaning from the whole, life and action not only incorporate their constituent parts but also shape them. I first lay out the difficulties with treating narrative as constitutive of metaphysical identity and turn to its (...) function in practical identity. I then explore the ways narrative shapes our agency—by tapping into our motivational structures, providing an understanding of the social background within which our agency operates, guiding our agency through an understanding of our histories and aspirations, providing the links that structure actions internally, and allowing us to change the meaning of our pasts. I suggest that putting these functions of narrative together may allow us to genuinely shape our past motivational structures through our actions. Finally, if life has the form of a narrative, it may seem as if mortality is necessary for our lives and their contents to be meaningful: a narrative, it might seem, relies on the ending for its meaning. If so, an immortal life would be meaningless. I examine the possibility that even an immortal life may draw meaning from local narratives that constitute projects within such a life, while arguing that, to the contrary, narrative may be a tool exclusively adapted to mortal lives. (shrink)