In Book II of The Geometry, Descartes distinguishes some special lines, which he calls geometrical curves. From the mathematical perspective, these curves are identified with polynomials of two variables. In this way, curves, which were understood as continuous quantities in Greek mathematics, turned into objects composed of points in The Geome- try. In this article we present assumptions which led Descartes to this radical change of the concept of curve.

The article aims to determine whether it is possible to build the reliably practiced classical philosophy, understood as a metaphysical research, directed towards the nature of objective reality. The purpose of this kind of philosophizing is knowledge and truth. Moreover, the practice of such philosophizing and its results should meet some of the characteristics of science. The paper establishes a set of conditions that have been imposed on the science of metaphysics by Kazimierz Twardowski. Among the conditions of such (...) philosophizing are anti-dogmatism, criticism, inter-subjectivity of philosophizing and its results, proper epistemic justification of philosophical beliefs, application of the analysis method, rigorous language and reasoning, the use of experience and scientific knowledge. The paper considers these conditions to be correct in most cases and argues that metaphysics can meet them. The existing cases of analytical metaphysics show that metaphysics is possible as a science. Next, the article argues that the late Twardowski failed to substantiate his claim that metaphysical positions which he classified as a world-view philosophy could not be scientifically justified, which could have been possibly done with differentiating ways of understanding what such a scientific justification should be. The article argues that he did not take into account a reductive conception of the metaphysical philosophy, which even though it allows the plurality of metaphysical explanations and does not force anyone to accept one position as the only possible and correct explanation, would have an objective value, if such metaphysics were elaborated indeed. (shrink)

Abstract The opening section outlines probabilism in the 20th century philosophy and shortly discusses the major accomplishments of Polish probabilist thinkers. A concise characterization of Bayesianism as the major recent form of probabilism follows. It builds upon the core personalist version of Bayesianism towards more objectively oriented versions thereof. The problem of a priori probability is shortly discussed. A tentative characterization of Kazimierz Ajdukiewicz’s standpoint regarding the inductive inference is cast in Bayesian terms. His objections against it presented in (...) Pragmatic Logic are presented. His 1958 paper on justification of non-deductive inference, as amply demonstrated by K. Szaniawski and I. Niiniluoto, extends his earlier Baysian position from 1928 monograph. In the closing section Ajdukiewicz’s standpoint is presented as a characteristically pragmatist and empiricist version of Bayesianism, which remains an unexplored and stimulating position. (shrink)

This paper is about the topic of psychologism in the work of Kazimierz Twardowski and my aim is to revisit this important issue in light of recent publications from, and on Twardowski’s works. I will first examine the genesis of psychologism in the young Twardowski’s work; secondly, I will examine Twardowski’s picture theory of meaning and Husserl’s criticism in Logical Investigations; the third part is about Twardowski’s recognition and criticism of his psychologism in his lectures on the psychology of (...) thinking; the fourth and fifth parts provide an overview of Twardowski’s paper “Actions and Products” while the sixth part addresses the psychologism issue in the last part of this paper through the delineation of psychology and the humanities. I shall conclude this study with a brief assessment of Twardowski’s solution to psychologism. (shrink)

Ajdukiewicz about the applicability of pure logic to philosophical issues the paper is an analysis of the arguments contained by Kazimierz Ajdukiewicz in his article On the applicability of pure logic to philosophical issues (1934). the author argues that philosophers in support of their claims can not use pure logic statements as evidence. Because theses formulate their common language, they can only appeal to the logic of everyday language, an alternative to the modern systems of symbolic logic.

The aim of this article is to introduce the work of Leopold Blaustein — philosopher and psychologist, who studied under Kazimierz Twardowski in Lvov and under Husserl in Freiburg im Breisgau. In his short academic career Blaustein developed an original philosophy that drew upon both phenomenology and Twardowski’s analytical approach. One of his main publications concerns Husserl’s early theory of intentional act and object, introduced in Logische Untersuchungen. In the first part of the article I briefly present Blaustein’s biography (...) and some general features of his philosophy. The second part provides an overview of Blaustein’s dissertation concerning Husserl’s early phenomenology. In the third and final part I summarize Blaustein’s research, including the critical remarks of Roman Ingarden. (shrink)

Stanislaw Lesniewski’s interests were, for the most part, more philosophical than mathematical. Prior to taking his doctorate at Jan Kazimierz University in Lvov, Lesniewski had spent time at several continental universities, apparently becoming relatively attached to the philosophy of one of his teachers, Hans Comelius, to the chapters of John Stuart Mill’s System of Logic that dealt specifically with semantics, and, in general, to studies of general grammar and philosophy of language. In these several early interests are already to (...) be found the roots of the work that was to occupy Lesniewski’s life: a search for a definitive doctrine of what sorts of things there are in the world, or better, of what language must be like if it is adequately and efficiently to represent the world. (shrink)

The paper aims to add contextual dependence to the new directival theory of meaning, a functional role semantics based on Kazimierz Ajdukiewicz’s directival theory of meaning. We show that the original formulation of the theory does not have a straight answer on how the meaning of indexicals and demonstratives is established. We illustrate it in the example of some problematic axiomatic and inferential directives containing indexicals. We show that the main reason why developing the new directival theory of meaning (...) in this direction is difficult is that the theory focuses on the notion of a sentence (and not the notion of an utterance). To add the latter notion to the theory, we introduce the idea of admissible contextual distribution being an interpretation of the hybrid expression view on indexicals and demonstratives. We argue that this idea introduces a small but important modification to the concept of language matrix and gives way to define two distinct concepts of meaning: for an expression type and for a use of an expression type. (shrink)

The study aims at making explicit the three spheres or planes, essential from the point of view of semiotics, on which the discourse regarding dignity takes place, and at clarifying the relations between these planes. The analysis uses the conception of Kazimierz Ajdukiewicz. There are three principal areas in which the discourse on dignity is conducted – the plane of linguistic expressions on which the name “dignity” is used; the plane of meanings on which the notion of dignity is (...) placed; and the plane of objects on which there is dignity itself. There is a relationship of meaning between the different concepts of dignity and the expression “dignity”, a relationship of signification between expression “dignity” and dignity as its referent, and a relationship of apprehension between the concepts of dignity and their referents. (shrink)

One of the most widely discussed philosophical issues is the problem of future contingents. Basically, the challenge is to create an adequate semantic theory of future-tensed sentences. Twardowski (1900) suggests that future contingent statements should be analyzed using the concept of probability. The aim of this paper is to show that (1) such an analysis is not appropriate and (2) that Twardowski’s main theses imply the Thin Red Line Theory. I discuss three potential arguments against my proposal and sketch the (...) connection with Schaffer’s Parallelism Thesis (2012). (shrink)

Maria Kokoszyńska-Lutmanowa was one of the most outstanding female representatives of the Lvov-Warsaw School. After achieving her PhD in philosophy under Kazimierz Twardowski’s supervision, she was Kazimierz Ajdukiewicz’s assistant. She was also influenced by Alfred Tarski whose results in semantics she analyzed and popularized. After World War II, she got the chair of logic in University of Wrocław and she organized studies in logic in this academic center. In the 1930s, Kokoszyńska kept in contact with members of the (...) Vienna Circle and became a kind of connecting factor between Polish logicians and the Viennese group. In Poland, she presented the views of members of the Vienna Circle. In Vienna, she emphasized the results of her Polish colleagues. In the present paper, some of Kokoszyńska’s results connected with the matters discussed in the Vienna Circle are presented, namely with the problem of metaphysics, the status of logic and the idea of unity of science. (shrink)

Reism or concretism are the labels for a position in ontology and semantics that is represented by various philosophers. As Kazimierz Ajdukiewicz and Jan Woleński have shown, there are two dimensions with which the abstract expression of reism can be made concrete: The ontological dimension of reism says that only things exist; the semantic dimension of reism says that all concepts must be reduced to concrete terms in order to be meaningful. In this paper we argue for the following (...) two theses: (1) Arthur Schopenhauer has advocated a reistic philosophy of language which says that all concepts must ultimately be based on concrete intuition in order to be meaningful. (2) In his semantics, Schopenhauer developed a theory of logic diagrams that can be interpreted by modern means in order to concretize the abstract position of reism. Thus we are not only enhancing Jan Woleński’s list of well-known reists, but we are also adding a diagrammatic dimension to concretism, represented by Schopenhauer. (shrink)

The Introduction outlines, in a concise way, the history of the Lvov-Warsaw School – a most unique Polish school of worldwide renown, which pioneered trends combining philosophy, logic, mathematics and language. The author accepts that the beginnings of the School fall on the year 1895, when its founder Kazimierz Twardowski, a disciple of Franz Brentano, came to Lvov on his mission to organize a scientific circle. Soon, among the characteristic features of the School was its serious approach towards philosophical (...) studies and teaching of philosophy, dealing with philosophy and propagation of it as an intellectual and moral mission, passion for clarity and precision, as well as exchange of thoughts, and cooperation with representatives of other disciplines.The genesis is followed by a chronological presentation of the development of the School in the successive years. The author mentions all the key representatives of the School (among others, Ajdukiewicz, Lesniewski, Łukasiewicz,Tarski), accompanying the names with short descriptions of their achievements. The development of the School after Poland’s regaining independence in 1918 meant part of the members moving from Lvov to Warsaw, thus providing the other segment to the name – Warsaw School of Logic. The author dwells longer on the activity of the School during the Interwar period – the time of its greatest prosperity, which ended along with the outbreak of World War 2. Attempts made after the War to recreate the spirit of the School are also outlined and the names of followers are listed accordingly. The presentation ends with some concluding remarks on the contribution of the School to contemporary developments in the fields of philosophy, mathematical logic or computer science in Poland. (shrink)

Logical and philosophical literature provides different classifications of reasoning. In the Polish literature on the subject, for instance, there are three popular ones accepted by representatives of the Lvov-Warsaw School: Jan Łukasiewicz, Tadeusz Czeżowski and Kazimierz Ajdukiewicz (Ajdukiewicz in Logika pragmatyczna [Pragmatic Logic]. PWN, Warsaw (1965, 2nd ed. 1974). Translated as: Pragmatic Logic. Reidel & PWN, Dordrecht, 1975). The author of this paper, having modified those classifications, distinguished the following types of reasoning: (1) deductive and (2) non-deductive, and additionally (...) two types of them in each of the two, depending on the manner of combining their premises with the conclusion through the relation of classical logical entailment. Consequently, the four types of reasoning: unilateral deductive (incl. its sub-types: deductive inference and proof), bilateral deductive (incl. complete induction), and reductive (incl. the sub-types: explanation and verification), logically nonvaluable (incl. inference by analogy, statistic inference), correspond to four operators of derivability. They are defined formally on the ground of Tarski’s axiomatic theory of deductive systems, by means of the consequence operation _Cn_ (Tarski in Monatshefte Math Phys 37:361–404, 1930a, C R Soc Sci Lett Vars 23:22–29, 1930b). Also, certain metalogical properties of these operators are given, as well as their relations with Tarski’s consequence operations \(Cn^+\) ( \(Cn^+ = Cn\) ) and dual consequences \(Cn^{-1}\) (Słupecki in Zeszyty Naukowe Uniwersytetu Wrocławskiego Seria B Nr 3:33–40, 1959, Słupecki et al. in Stud Log 29:76–123, 1971, Wybraniec-Skardowska, in: Wybraniec-Skardowska, Bryll (eds) Z badań nad teorią zdań odrzuconych [Studies in the Theory of Rejected Propositions], Series B, Studia i Monografie, Zeszyty Naukowe Wyższej Szkoły Pedagogicznej w Opolu, Opole, 1969), and \(Cn^-\) (Wójcicki in Bull Sect Log 2(2):54–57, 1973)). (shrink)

Inthisarticle,IreconstructKazimierzAjdukiewicz’sviewthathecalledradical conventiona‐ l i s m (as opposed to moderate conventionalism developed by Henri Poincaré and Pierre Duhem). then, I recall little‐known criticism of this approach developed by Stefan Amsterdamski. Finally, I demonstrate, contrary to the conception of the originator’s declarations, that a radical conventio‐ nalism is not a ‘paper ction’. On the other hand, the standpoint of radical conventionalism is useful due to the precision of expressions provided to it by Ajdukiewicz; it shows the di culties that have to (...) be tackled by each philosophical approach assuming a social constructivism or related notion. (shrink)

The article presents ethical work of an outstanding representative of the philosophical Lvov-Warsaw School – Izydora Dąmbska. The conviction that philosophy is a science and is axiologically grounded was inherited from her teacher Kazimierz Twardowski. According to this point of view, being a philosopher means realization of both intellectual and moral values. The text gives an insight into the ways Dąmbska understands the term ethics and her notion of the most fundamental terms of axiological ethics: assessment, values, norms. The (...) four distinguished by her issues of scientific ethics: the issue of ethical criteria, sources of morality, moral foundation and range of ethics are also examined. Dąmbska’s achievements in the history of ethics, her reflections on ethics’ independence from religion and on teaching ethics at school are also presented. (shrink)

Tekst ma na celu bliższe zapoznanie Czytelnika z otwierającą cykl Aristotelica pracą doktorską Franza Brentano Von der mannigfachen Bedeutung des Seienden nach Aristoteles (1862), która znana jest głównie z tego, że miała zainspirować młodego Martina Heideggera i sprawić, że zajął się filozofią. Tekst bada naturę i siłę tej inspiracji. Część pierwsza opowiada historię powstania Von der mannigfachen … oraz przedstawia szerszy kontekst zetknięcia się Heideggera z filozofią Brentana, a także stara się przedstawić Heideggera na tle jego pozostałych uczniów (Kazimierz (...) Twardowski, Edmund Husserl, Alexius Meinong, Carl Stumpf, Anton Marty, et al.). Część druga omawia piętnaście tez o bycie, które stanowią sedno dzieła O wielorakim znaczeniu bytu u Arystotelesa i tym samym umożliwia porównanie tomistycznej w duchu ontologii Brentana z ontologią fundamentalną Heideggera, o czym traktuje część trzecia. Część trzecia stara się również zweryfikować faktyczną wysokość „długu”, jaki Heidegger miał u Brentana zaciągnąć i odpowiedzieć na pytanie, do jakiego stopnia, o ile w ogóle, Martina Heideggera możemy nazwać „brentanistą”. (shrink)

„Ruch Filozoficzny” and the freedom of scientific research in Poland (in 1947-1957 years). Presented article refers to the situation in the Polish philosophy, which took place between 40-50 of the twentieth century. Author’s reflections are carried on the example of attempts to reactivate in the realities of war, the polish philosophical journal “Ruch Filozoficzny” founded in 1911 by Kazimierz Twardowski. Political conditions have made the magazine was renewed twice, at each time was the greatest merit of Tadeusz Czeżowski. He (...) was assisted by the other representatives of the Lvov-Warsaw School, who worked in various academic centers in Poland. The reconstruction of the history of the magazine in the postwar years, will be based on previously unpublished archival material. In its conclusions, the author tries to point out of great importance of independent from the political authorities publishers on development of Polish philosophy. (shrink)

This is an open-access book which is devoted to rediscovering the early history of phenomenology in confrontation with the legacy of Franz Brentano by discussing Leopold Blaustein’s philosophy. It offers a unique perspective on the history of the phenomenological movement by presenting the development of Blaustein’s theory. Blaustein was a philosopher educated by Kazimierz Twardowski in Lvov, but he also held research stays in Freiburg im Breisgau (where he studied under Edmund Husserl) and in Berlin (where he met Carl (...) Stumpf). Blaustein’s work is usually classified as phenomenology yet some scholars question this by claiming that Blaustein was radically critical of Husserl’s phenomenology. This text addresses these divergent opinions by claiming that Blaustein was both a descriptive psychologist and a phenomenologist. Moreover, the book shows that these two motives were intertwined in Blaustein’s writings and require a reference to other traditions such as the Gestalt theory of Stumpf, and the humanistic psychology of Dilthey. This volume examines sources, context, and applications of the methods used by Blaustein in his original philosophy. It appeals to philosophers, especially phenomenologists, epistemologies, and historians. The more specialized chapters are also relevant to historians of the phenomenological movement and the Brentanian tradition. (shrink)

I present argument for different than traditional continental classification of epistemological issues. Paper has two parts, first concerned with K. Ajdukiewicz and J. Woleński conception of epistemology and its branches and with different methods of epistemological inquiry based on different task posed for epistemology. Second part discuss main important topics of current postgettieral analytic epistemology like virtue epistemology, ethics of belief, problems of epistemic value, epistemic value monism and pluralism, metaepistemology and concludes that in traditional continental classification the issues of (...) a truth and the issues of nature of knowledge should be united in broaden set of topics concerned with valuable cognition and knowledge, which has descriptive, normative, and regulative subparts. (shrink)