Predicativity requirements of explicit presentability of objects and predicatively acceptable proof are distinguished from predicativist theses of a philosophical character. Familiar among these are expressions of skepticism about the objectivity of full power sets of infinite sets. Articulation of strong, limitative theses, however, turns out to be problematic: impredicative commitments creep ...

Is there something like a philosophical method? It seems that there are as many methods as there are philosophies. A method is any procedure employed to attain a certain end. So, before going to a method, we have to ask: what is the aim of philosophy? At the origin of philosophy, there is a questioning about the world. Leo Apostel and Jan Van der Veken made more precise and explicit those funda...

realism is one of the main concepts of the philosophy that has several meanings and there is no standard application for it in the philosophical texts. issues and problems concerning this concept are numerous and belong to the several contexts such as ontology, semantics, epistemology, logic, methodology, and ethics. therefore, in the definition of this concept you can find several criterions a...

This theme issue of Philosophical Transactions A has been produced as an integral component of the Royal Society’s celebrations of the 350th anniversary of the publication of the first issue of Philosophical Transactions, the world’s oldest scientific journal. The issue contains 16 commentaries, each of which is focused on a major scientific advance in the physical, mathematical or engineering ...