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E-grāmata: Lvov-Warsaw School. Past and Present

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  • Sērija : Studies in Universal Logic
  • Izdošanas datums: 12-Jun-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319654300
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  • Formāts: EPUB+DRM
  • Sērija : Studies in Universal Logic
  • Izdošanas datums: 12-Jun-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319654300

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This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world.





The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic  Philosophy, Theory of Models and Linguistics.
Part I Twardowski's School: The Period of Crystallization of LWS
Introduction. The School: Its Genesis, Development and Significance
3(1)
Urszula Wybraniec-Skardowska
1 A Short History and Influence of the School
4(9)
2 On the Structure and Contents of the Anthology
13(2)
References
13(2)
Kazimierz Twardowski: A Great Teacher of Great Philosophers
15(18)
Anna Brozek
1 Life
15(1)
2 Personality
16(1)
3 Writings
17(1)
4 Views
17(13)
5 Philosophical School
30(1)
6 Conclusions
31(2)
Kazimierz Twardowski's Works Mentioned in the Paper
32(1)
Jan Lukasiewicz: A Creator of New Ideas in Logic and a Reinterpreter of Its History
33(14)
Jacek Jadacki
1 Personality
33(1)
2 Life
34(1)
3 Works
35(1)
4 Metaphysics
35(2)
5 Logic
37(5)
6 Methodology
42(2)
7 Teacher
44(3)
Jan Lukasiewicz's Works Mentioned in the Paper
45(2)
Kazimierz Ajdukiewicz: The Cognitive Role of Language
47(18)
Anna Jedynak
1 Life
47(1)
2 Main Publications
48(1)
3 Scientific Activity
48(12)
4 Disciples and Continuators
60(5)
References
60(5)
On Ajdukiewicz's Project of the Semantic Theory of Knowledge
65(26)
Adam Olech
1 Introduction
66(4)
2 Presentation of the Meta-Epistemological Project of the Semantic Theory of Knowledge and Analysis Thereof
70(17)
3 Conclusion
87(4)
References
88(3)
Categorial Grammars and Their Logics
91(26)
Wojciech Buszkowski
1 Introduction
91(2)
2 Basic Categorial Grammars
93(5)
3 Lambek Calculus
98(19)
References
112(5)
Material Implication and Conversational Implicature in Lvov-Warsaw School
117(16)
Rafal Urbaniak
Michal Tomasz Godziszewski
1 Ajdukiewicz's Equivalence Argument
117(1)
2 Jackson's Argument
118(1)
3 Ajdukiewicz on Disjunction
119(2)
4 Ajdukiewicz vs. Quine on Assertibility
121(2)
5 Expressing vs. Stating
123(1)
6 Ajdukiewicz on the Diagnostics of Improper Use
124(1)
7 Generalization, Weakening, Moore's Paradox
125(1)
8 Apparent Connection Between Disjuncts
125(2)
9 Ajdukiewicz's Diagnostics and Grice's Cancellability
127(3)
10 Golab on Indicative Conditionals
130(1)
11 Stupecki's Reply to Golab
131(1)
12 Ajdukiewicz's Solution and Golab's Problem
131(2)
References
132(1)
Tadeusz Czezowski
133(4)
Dariusz Lukasiewicz
1 Life
133(2)
2 Main Papers
135(1)
3 Views
135(1)
4 Resonance
135(1)
5 Pupils
135(1)
6 Summary
136(1)
Bibliography
136(1)
Tadeusz Czezowski's Theory of Knowledge and Beliefs
137(16)
Dariusz Lukasiewicz
1 Introduction
137(1)
2 Modern Epistemological Individualism: Faith and Testimony in Epistemological Framework
138(3)
3 Methodism, Particularism and Belief-Formation Process
141(1)
4 What Can Justify Beliefs: Basic Beliefs, Internalism and Externalism
142(1)
5 Czezowski's Theory of Knowledge and Epistemological Individualism
143(4)
6 Czezowski's Internalism and Fallibilism
147(2)
7 Czezowski and Some Views on Belief-Formation Processes
149(4)
References
151(2)
What Is Reasoning?
153(12)
Robert Kublikowski
1 Introduction
153(2)
2 The Definition of Reasoning
155(2)
3 The Conditions of Correctness of Reasoning
157(5)
4 Conclusions
162(3)
References
162(3)
Tadeusz Kotarbinski: Socrates of Warsaw
165(10)
Jacek Jadacki
1 Life
165(1)
2 Writings
166(1)
3 Views
166(4)
4 Resonance
170(3)
5 Pupils
173(1)
6 Summary
173(2)
Tadeusz Kotarbinski's Works Mentioned in the Paper
173(2)
Agency in a Praxiological Approach
175(14)
Wojciech W. Gasparski
1 Introduction
175(1)
2 Agency in Tadeusz Kotarbinski's Approach
176(7)
3 Other Approaches
183(2)
4 Conclusion
185(4)
References
186(3)
Zygmunt Zawirski: A Creator of New Ideas in Methodology of Science and Scientific Metaphysics
189(12)
Krzysztof Sleziriski
1 Life
189(2)
2 Writings
191(1)
3 Views
192(4)
4 Resonance
196(1)
5 Pupils
197(1)
6 Summary
197(4)
Zygmunt Zawirski's Works Mentioned in the Paper
198(3)
Zygmunt Zawirski's Concept of Scientific Metaphysics
201(8)
Krzysztof Sleziriski
1 Introduction
201(1)
2 Relation Between Science and Metaphysics
202(2)
3 Synthesis of Human Knowledge and Metaphysics
204(3)
References
207(2)
Stanistaw Lesniewski: Original and Uncompromising Logical Genius
209(14)
Peter Simons
1 Life
209(1)
2 Phases of Activity
210(1)
3 Early Writings
211(1)
4 Antinomies, Classes, Parts
212(1)
5 Formalization
213(2)
6 Consolidation and Publication
215(1)
7 Final Years
216(1)
8 Metalogic
216(1)
9 Teaching and Students
217(1)
10 Colleagues and Personality
218(1)
11 Legacy
218(5)
Stanistaw Lesniewski's Works Mentioned in the Paper
219(4)
Izydora Dambska: The First Lady of the Twentieth-Century Polish Philosophy
223(12)
Anna Brozek
Jacek Jadacki
1 Personality
223(1)
2 Life
224(1)
3 Work
224(1)
4 The Lvov-Warsaw School Versus Neopositivism and Linguistic Philosophy
225(1)
5 Metaphysics
226(1)
6 Semiotics
227(2)
7 Methodology
229(2)
8 Axiology
231(2)
9 Significance
233(2)
Izydora Dambska's Works Mentioned in the Paper
233(2)
Maria Kokoszynska-Lutmanowa: The Great Polemist
235(6)
Filip Kawczynski
1 Life
235(1)
2 Main Papers
236(1)
3 Views
237(2)
4 Pupils
239(1)
5 Summary
240(1)
References
240(1)
Seweryna Luszczewska-Romahnowa
241(8)
Roman Murawski
Jerzy Pogonowski
1 Life
241(1)
2 Main Works
242(3)
3 Views
245(1)
4 Resonance
245(1)
5 Pupils
245(1)
6 Summary
245(4)
References
246(3)
On Existential Dependence and Independence in the World of Thoughts and States of Affairs (with Reference to Eugenia Ginsberg-Blaustein's and Roman Ingarden's Analyses)
249(14)
Urszula M. Zeglen
1 Introduction
249(2)
2 Ingarden's Definitions and Theorems
251(3)
3 Dependence in the Mental Sphere of Thoughts
254(6)
4 Concluding Remarks
260(3)
References
261(2)
Jozef I.M. Bochenski
263(10)
Korneliusz Policki
1 Life
263(1)
2 Main Research Interests
264(1)
3 Bochenski's Views
265(4)
4 Reactions
269(2)
5 Criticism
271(1)
6 Summary
271(2)
J.M. Bochenski's Theory of Signs
273(6)
Korneliusz Policki
1 Introduction
273(1)
2 Ontological Assumptions
273(1)
3 Psychological Assumptions
274(1)
4 The Concept of the Sign
275(1)
5 The Theory of Signs and Authority
276(1)
6 The Theory of Signs and `Philosophical Superstitions'
276(1)
7 Conclusion
277(2)
References
277(2)
Jan Salamucha (1903-1944)
279(6)
Kordula Swietorzecka
1 Beginnings
279(1)
2 Education
279(1)
3 Didactics
280(1)
4 Priesthood
281(1)
5 Death
281(1)
6 Intellectual Formation
282(3)
Selected Publications
283(2)
Struve and Biegariski: Towards Modern Approach to Logic
285(16)
Roman Murawski
1 Henryk Struve
285(5)
2 Wladyslaw Biegariski
290(5)
3 Conclusion
295(6)
References
296(5)
Part II Warsaw School of Logic, Its Main Figures and Ideas: The Period of Prosperity
Lukasiewicz and His Followers in Many-Valued Logic
301(28)
Grzegorz Malinowski
1 Lukasiewicz's Way to Many-Valuedness
301(5)
2 Matrix Semantics for n-Valued Logics
306(3)
3 Post Logics and Slupecki's Functional Completeness Programme
309(3)
4 Algebraic Interpretations of Lukasiewicz Logics
312(3)
5 In Search for Interpretation of Lukasiewicz Logics
315(5)
6 On Applications and Influence of Lukasiewicz Work
320(9)
References
326(3)
Tomorrow's Sea-Battle and the Beginning of Temporal Logic
329(8)
Kazimierz Trzesicki
1 Introduction
329(2)
2 Language and Semantics
331(2)
3 Branching Time Logic
333(1)
4 Temporal Logic of Possible Worlds
334(1)
5 Conclusion
335(2)
References
336(1)
Lesniewski and Mereology
337(24)
Peter Simons
1 How Lesniewski Came to Mereology
337(2)
2 Lesniewski's Understanding of Sets or Classes
339(2)
3 Terminology
341(1)
4 The Early System
341(3)
5 Remarks About This System
344(1)
6 Symbolic Reconstruction
345(2)
7 Later Improvements
347(2)
8 Whitehead's Alternative Mereology
349(2)
9 The Polish Continuation
351(1)
10 The Harvard Variant
352(2)
11 Subsequent Developments
354(4)
12 Prospects
358(3)
References
358(3)
Alfred Tarski (1901-1983)
361(12)
Jan Wolenski
Bibliography
370(3)
Some Philosophical Aspects of Semantic Theory of Truth
373(18)
Jan Wolenski
References
387(4)
Tarski's Influence on Computer Science
391(14)
Solomon Feferman
References
402(3)
The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper
405(20)
John Corcoran
Jose Miguel Saguillo
1 Introduction
406(4)
2 Corcoran's Awareness of the Issue in the 1960s and 1970s
410(3)
3 The Place of the Monistic-Pluralistic Distinction
413(4)
4 The Origin of the Modern form of the Monistic Framework
417(2)
5 Concluding Remarks
419(6)
References
421(4)
Alfred Tarski: Auxiliary Notes on His Legacy
425(32)
Jan Zygmunt
1 Life
425(7)
2 Set Theory
432(4)
3 Geometry and Measure Theory
436(3)
4 Decidable and Undecidable Theories
439(9)
5 Selected Works of Tarski
448(9)
Stanistaw Jaskowski: Life and Work
457(8)
Andrzej Indrzejczak
1 Life
457(2)
2 Works
459(3)
3 Influence
462(3)
References
463(2)
Stanistaw Jaskowski and Natural Deduction Systems
465(20)
Andrzej Indrzejczak
1 Introduction
465(1)
2 Natural Deduction in General
466(2)
3 Jaskowski's Research on ND
468(11)
4 Other Approaches to ND
479(6)
References
483(2)
Variations on Jaskowski's Discursive Logic
485(14)
Barbara Dunin-Keplicz
Alina Powala
Andrzej Szalas
1 Prelude
485(2)
2 Theme: Jaskowski's Discursive Logic D2
487(1)
3 Movement: Belief Bases and Belief Structures
488(3)
4 Variations Part I: D4--A New Framework for Discursive Logics
491(1)
5 Variations Part II: Relation to Dialogue
492(1)
6 Variations Part III: Relation to Argumentation
493(2)
7 Coda
495(4)
References
496(3)
Czestaw Lejewski: Propagator of Lvov-Warsaw Ideas Abroad
499(6)
Peter Simons
1 Life
499(1)
2 Main Works
500(1)
3 Views
500(3)
4 Influence, Teaching, Personality
503(2)
Works by Czesiaw Lejewski Mentioned in the Paper
503(2)
Adolf Lindenbaum, Metric Spaces and Decompositions
505(46)
Robert Purdy
Jan Zygmunt
1 Introduction
505(1)
2 A Short Life
506(14)
3 Metric Spaces
520(9)
4 Decomposition of Point Sets, and Their Equivalence by Decomposition
529(5)
5 Decompositions and Equivalence of Polygons in Elementary Geometry
534(3)
6 Bibliography
537(10)
7 Acknowledgments
547(4)
Andrzej Mostowski: A Biographical Note
551(4)
Marcin Mostowski
1 Life
551(1)
2 Main Works
551(1)
3 Main Scientific Achievements
552(1)
4 Influence of His Works
553(1)
5 Students
553(1)
6 Last Words
553(2)
References
554(1)
Foundations and Philosophy of Mathematics in Warsaw, the School of Andrzej Mostowski and Philosophy
555(12)
Marcin Mostowski
1 Introduction
555(1)
2 Some Mathematical Works in the Foundations
556(6)
3 Old School and Old Ideas
562(1)
4 The Old School and New Ideas: Computations
563(1)
5 What for Philosophy?
563(1)
6 Who Is Your Master?
564(3)
References
564(3)
Jerzy Slupecki (1904-1987)
567(8)
Jan Wolenski
References and Bibliography
572(3)
Rejection in Lukasiewicz's and Slupecki's Sense
575(24)
Urszula Wybraniec-Skardowska
1 Introduction
575(3)
2 Reconstruction of Concepts of Rejection and Decidability: The Notions Introduced and Used by Lukasiewicz
578(1)
3 The Problem of Decidability of Aristotle's Syllogistics, Set by Lukasiewicz, and Its Solution Given by Slupecki
579(6)
4 Notions of Rejection in a Deductive System and Notions of L-Decidability
585(2)
5 More Important Findings Concerning L-Decidability of Deductive Systems
587(4)
6 Rejection Operation
591(2)
7 Rejection Operation as a Primitive Notion
593(6)
References
594(5)
Boleslaw Sobocinski: The Ace of the Second Generation of the LWS
599(16)
Kordula Swietorzecka
1 Life
600(2)
2 National Service
602(2)
3 Academic Career
604(3)
4 Interests and Achievements
607(2)
5 Sobocinski Personality
609(1)
6 Selected Publications by Boleslaw Sobocinski
610(5)
References
612(3)
Boleslaw Sobocinski on Universals
615(18)
Kordula Swietorzecka
Marek Porwolik
1 Lesniewski's Nominalist Argumentation in Sobociriski's Version
617(7)
2 Sobocinski's Metaconceptualism
624(9)
References
631(2)
Many-Valued Logics in the Iberian Peninsula
633(12)
Angel Garrido
1 Introduction
634(2)
2 Many-Valued Logics and the Lvov-Warsaw School
636(5)
3 Reception of Many-valued Logics and Fuzzy Logic in the Iberian Peninsula
641(1)
4 Final Note
642(3)
References
643(2)
Ontology of Logic and Mathematics in Lvov-Warsaw School
645(20)
Roman Murawski
1 Jan Lukasiewicz: (Neo)Platonism
646(2)
2 Stanistaw Lesniewski: Nominalism
648(2)
3 Alfred Tarski: Nominalism
650(2)
4 Tadeusz Kotarbiriski: Reism
652(3)
5 Leon Chwistek: Nominalism
655(1)
6 Kazimierz Ajdukiewicz and Ontology of Mathematics
656(1)
7 Andrzej Mostowski: Nominalism, Reism, Constructivism
657(2)
8 Conclusion
659(6)
References
660(5)
Part III The War and Post-War Period
A View of Revival of Mathematical Logic in Warsaw, 1945-1975
665(8)
Victor W. Marek
1 Introduction
665(1)
2 The Beginnings
666(1)
3 Andrzej Mostowski and His Students
667(1)
4 Helena Rasiowa and Her Group
668(1)
5 Andrzej Grzegorczyk
669(2)
6 Conclusions
671(2)
References
671(2)
Andrzej Mostowski and the Notion of a Model
673(20)
Wilfrid Hodges
1 The Emergence of a New Discipline
673(2)
2 Mostowski's Writings in Model Theory
675(1)
3 Background and Notation
676(1)
4 Some of Tarski's Proposals
677(2)
5 "Theories'
679(2)
6 `Models'
681(3)
7 Thirty Years of Foundational Studies
684(1)
8 Robinson's Complaint
685(2)
9 Mostowski's Attributions in General
687(1)
10 Conclusion
688(5)
References
689(4)
All Quantifiers Versus the Quantifier AH
693(10)
Stanistaw Krajewski
1 The Universal Quantifier and Its Dual
694(1)
2 A Digression on the Range of the Familiar Quantifiers
695(1)
3 The Power of A and E
696(1)
4 Generalized Quantifiers in Logic
697(2)
5 Characterizing Context-Independent Quantifiers
699(2)
6 Formalism-Free Definition of A-Definable Quantifiers?
701(2)
References
701(2)
Helena Rasiowa (1917-1994)
703(8)
Andrzej Jankowski
Andrzej Skowron
References
709(2)
Post Algebras in the Work of Helena Rasiowa
711(12)
Ewa Orlowska
1 Plain Semi-Post Algebras
712(3)
2 Post Algebras of Order m
715(1)
3 Post Algebras of Order ω+
716(1)
4 Post Algebras of Order ω + ω*
717(6)
References
719(4)
Andrzej Grzegorczyk, a Logician Par Excellence
723(8)
Stanislaw Krajewski
1 Life
723(1)
2 Logical Accomplishments
724(2)
3 Views
726(1)
4 Influence
727(4)
References
728(3)
A Mystery of Grzegorczyk's Logic of Descriptions
731(16)
Joanna Golinska-Pilarek
Taneli Huuskonen
1 Introduction
732(1)
2 The Logic of Descriptions LD
733(5)
3 Properties of LD
738(3)
4 Extensions and Modifications of LD
741(3)
5 Conclusions
744(3)
References
744(3)
Roman Suszko: Logician and Philosopher
747(6)
Mieczyslaw Omyla
1 Life
747(1)
2 Main Papers
748(2)
3 Views
750(1)
4 Influences
751(1)
5 Summary
752(1)
From Formal Theory of Knowledge to Non-Fregean Logic
753(10)
Mieczyslaw Omyla
1 Diachronic Logic
754(3)
2 Non-Fregean Logic
757(6)
References
762(1)
Categories of First-Order Quantifiers
763(16)
Urszula Wybraniec-Skardowska
1 Introduction
764(1)
2 Problem of Quantifiers
764(1)
3 Some Intuitive Foundations of the Theory of Categorial Languages
765(4)
4 The Solution of the Problem of Quantifiers of 1st-Order
769(6)
5 Conclusions
775(4)
References
775(4)
The Lvov-Warsaw School: A True Mythology
779(33)
Jean-Yves Beziau
1 From Bahi'a Blanca to Wroclaw
780(7)
2 The Atopicity of the Lvov-Warsaw School
787(11)
3 The Future of the Lvov-Warsaw School
798(14)
References 812