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Formal Logic and the Development of Knowledge

In Imre Lakatos & Alan Musgrave (eds.), Problems in the philosophy of science. Amsterdam,: North-Holland Pub. Co.. pp. 210-222 (1968)

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  1. The paradox of meaning variance.Jerzy Giedymin - 1970 - British Journal for the Philosophy of Science 21 (3):257-268.
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  • Logical comparability and conceptual disparity between Newtonian and relativistic mechanics.Jerzy Giedymin - 1973 - British Journal for the Philosophy of Science 24 (3):270-276.
    The present note is intended to draw the reader's attention to the analysis of the relation between Newtonian Mechanics and Special Relativity Mechanics (henceforth to be referred to as NM and SRM), given by Philipp Frank, one of the classics of Logical Empiricism (in Frank [1938]). Frank's analysis of the relation between NM and SRM is interesting in many ways. Firstly, it shows clearly that problems of disruptive changes and of conceptual disparity were known to and discussed by Logical Empiricists (...)
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  • The Asymmetric Carbon Atom: a Case Study of Independent Discovery: an Inductivist Model for Scientific Method.Hannah Gay - 1978 - Studies in History and Philosophy of Science Part A 9 (3):207.
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  • Key notions of Tarski's methodology of deductive systems.Janusz Czelakowski & Grzegorz Malinowski - 1985 - Studia Logica 44 (4):321 - 351.
    The aim of the article is to outline the historical background and the present state of the methodology of deductive systems invented by Alfred Tarski in the thirties. Key notions of Tarski's methodology are presented and discussed through, the recent development of the original concepts and ideas.
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  • Semantics and Truth.Jan Woleński - 2019 - Cham, Switzerland: Springer Verlag.
    The book provides a historical and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas as well as points out various applications of the semantic theory of truth to philosophical (...)
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  • On the Axiom of Canonicity.Jerzy Pogonowski - forthcoming - Logic and Logical Philosophy:1-29.
    The axiom of canonicity was introduced by the famous Polish logician Roman Suszko in 1951 as an explication of Skolem's Paradox and a precise representation of the axiom of restriction in set theory proposed much earlier by Abraham Fraenkel. We discuss the main features of Suszko's contribution and hint at its possible further applications.
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  • Metalogical Remarks on Induction.Jan Woleński - 2021 - Axiomathes 31 (6):763-777.
    The problem of induction belongs to the most controversial issues in philosophy of science. If induction is understood widely, it covers every fallible inference, that is, such that its conclusion is not logically entailed by its premises. This paper analyses so-called reductive induction, that is, reasoning in which premises follow from the conclusion, but the reverse relation does not hold. Two issues are taken into account, namely the definition of reductive inference and its justification. The analysis proposed in the paper (...)
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  • (1 other version)Reviews. [REVIEW]P. M. Williams - 1970 - British Journal for the Philosophy of Science 21 (3):291-298.
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  • The Cognitive Relation in a Formal Setting.Jan Woleński - 2007 - Studia Logica 86 (3):479-497.
    This paper proposes a formal framework for the cognitive relation understood as an ordered pair with the cognitive subject and object of cognition as its members. The cognitive subject is represented as consisting of a language, conequence relation and a stock of accepted theories, and the object as a model of those theories. This language allows a simple formulation of the realism/anti-realism controversy. In particular, Tarski’s undefinability theorem gives a philosophical argument for realism in epistemology.
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