Building on our diverse research traditions in the study of reasoning, language and communication, the Polish School of Argumentation integrates various disciplines and institutions across Poland in which scholars are dedicated to understanding the phenomenon of the force of argument. Our primary goal is to craft a methodological programme and establish organisational infrastructure: this is the first key step in facilitating and fostering our research movement, which joins people with a common research focus, complementary skills and an enthusiasm to work (...) together. This statement—the Manifesto—lays the foundations for the research programme of the Polish School of Argumentation. (shrink)
Using two distinct membership symbols makes possible to base set theory on one general axiom schema of comprehension. Is the resulting system consistent? Can set theory and mathematics be based on a single axiom schema of comprehension?
In reply to the polemics and comments on my bookLogic and ArgumentationThis article contains the reply to the polemics and comments on my book Logic and argumentation. Since the most controversial issue among the commentators was my “radical attack on formal logic”, the first part of the text generally addresses this criticism. Firstly, I thoroughly explain what my doubts regarding the formal logic are. I am not questioning the great, even spectacular, successes of formal logic in the field of mathematical (...) logic, nor its extraordinary contribution to the foundation of computer technology. I only find that for the traditional goal of logic — that of studying the principles of reasoning, inference and definition — formal methods have failed in confrontation with practice. I am developing this thesis in detail and I am trying to justify it, first of all by referring to the practice of reasoning in the field of mathematics. In the second part, I respond to specific criticisms and comments from individual authors. Many of the comments are correct, some are based on misunderstandings, while some, in my opinion, are wrong. (shrink)