Abstract
This volume concerns the achievements of Janusz Czelakowski in the broadly defined field of algebraic logic. However, instead of the algebraic logic, we decided to use the term of logical consequence operation in the title of the volume. There are several reasons for this. Firstly, the logical consequence operation is a trademark of the Polish School of Logic, while Janusz Czelakowski is undoubtedly a prominent representative of this School. Secondly, the notion of consequence operation is a kind of bridge between algebra and logic, semantics and syntax. It allows properties of logical systems to be put into words in terms of properties of classes of algebras and vice versa. Thirdly, and perhaps most importantly, it is precisely this sort of research that constitutes the mainstream of Janusz Czelakowski achievements.
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References
Łoś, J. (1949). O matrycach logicznych (p. 42). Wrocław: Wrocławskie Towarzystwo Naukowe.
Łoś, J., & Suszko, R. (1958). Remarks on sentential logics. Indagationes mathematicae, 20, 177–183.
Rasiowa, H. An algebraic approach to non-classical logics. Warszawa–Amsterdam: PWN and North-Holland.
Tarski, A. (1930). Über einige fundentale Begriffe der Metamathematik, Comptes Rendus des séances de la société des Sciences et des Lettres des Varsovie (Vol. 23, cl.iii, pp. 22–29). English translation in: Tarski, A. (1956). Logic, semantics, metamathematics (pp. 30–37). Oxford: Clarendon Press.
Tarski, A. (1930). Fundamentale Begriffe der Methodologie der deduktiven Wissenschaften. I, Monatshefte für Mathematik und Physik (Vol. 37, pp. 361–404). English translation in: Tarski, A. (1956). Logic, semantics, metamathematics (pp. 60–109). Oxford: Clarendon Press.
Tarski, A. (1935). Grundzüge des Systemenkalküls I, Fundamenta Mathematicae (Vol. 25, pp. 503–326); Grundzüge des Systemenkalküls II, Fundamenta Mathematicae (Vol. 26, pp. 283–301), 1936. English translation in: Tarski, A. (1956). Logic, semantics, metamathematics (pp. 342–383). Oxford: Clarendon Press.
Wójcicki, R. (1970). Some remarks on the consequence operation in sentential calculi. Fundamenta Mathamaticae, 68, 269–279.
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Malinowski, J., Palczewski, R. (2024). Introduction. In: Malinowski, J., Palczewski, R. (eds) Janusz Czelakowski on Logical Consequence. Outstanding Contributions to Logic, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-031-44490-6_1
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