There exists a dispute in philosophy, going back at least to Leibniz, whether is it possible to view the world as a network of relations and relations between relations with the role of objects, between which these relations hold, entirely eliminated. Category theory seems to be the correct mathematical theory for clarifying conceptual possibilities in this respect. In this theory, objects acquire their identity either by definition, when in defining category we postulate the existence of objects, or formally by the (...) existence of identity morphisms. We show that it is perfectly possible to get rid of the identity of objects by definition, but the formal identity of objects remains as an essential element of the theory. This can be achieved by defining category exclusively in terms of morphisms and identity morphisms and, analogously, by defining category theory entirely in terms of functors and identity functors. With objects and categories eliminated, we focus on the “philosophy of arrows” and the roles various identities play in it. This perspective elucidates a contrast between “set ontology” and “categorical ontology”. (shrink)

This paper argues that the appraisal of theory is in important respects closer in structure to value-judgement than it is to the rule-governed inference that the classical tradition in philosophy of science took for granted.

We present a short account of the early history of the Center for Interdisciplinary Research in Cracow. These beginnings go back to the inter-war period when the tradition was established of close interactions between philosophers and scientists, especially physicists (Smoluchowski, Natanson). In the post-war period, under the communist regime, this tradition was continued at the Theological Institute (later the Pontifical Academy of Theology) in Cracow, erected by Cardinal Wojtyła, the then archbishop of Cracow, after the Theological Faculty had been removed (...) from the Jagiellonian University by the communists. The collaboration of the Cracow Center with the Catholic University of Lublin and with the Warsaw Academy of Theology is briefly described, and the style of philosophy in Cracow presented. (shrink)

The paper concerns the origin and early stage of development of the Center for Interdisciplinary Studies at the Pontifical Academy of Theology in Kraków. Center for Interdisciplinary Studies was founded by Michał Heller and Józef Życiński in the late 1970s. It was an informal institution which focused on conducting scientific activity in the area of philosophy of nature, relationship between mathematical & natural sciences and philosophy, history of science, as well as relationships between science and religion. In this paper I (...) would like to present how this institution developed, I will discuss various forms of its activity and discuss—very generally—what kind of philosophy was promoted by M. Heller, J. Życiński as well as their pupils and close associates. An important part of the paper will also concern the Center for Interdisciplinary Studies as a unique institution, which has developed—in difficult historical period in Poland—philosophical research in the spirit of freedom and respect for the new achievements of science, and also promoted interdisciplinary dialogue between scientists and philosophers. (shrink)

The first task of the philosophy of nature -- The problem of elementarity -- The philosophical myth of creation : the Platonic philosophy of nature -- Aristotle's Physics -- Aristotle's method of cosmological speculation -- Descartes' mechanism -- Isaac Newton and the mathematical principles of natural philosophy -- The world of Leibniz : the best of all possible worlds -- Immanuel Kant : the a priori conditions of the sciences -- The romantic philosophy of nature -- The cosmology of Whitehead: (...) the universe as process -- Popper's open universe -- Science as philosophy -- Problems and methods of the philosophy of nature. (shrink)