Format:
Online-Ressource (VIII, 194p. 24 illus, digital)
ISBN:
9789400714762
,
9781283476317
,
1283476312
Series Statement:
Trends in Logic 31
Content:
Preface -- Introduction -- 1. Sophisms and paralogisms (paradoxes of: horses, Newcomb, Fitch) -- 2. Wrong intuition’s paradoxes (paradoxes of: common birthday, approximation, Stevenson’s bottle, Hempel, infinity) -- 3. Paradoxes coming from ambiguity (paradoxes of Protagoras, Elektra, horn-headed man, the club without a name, God’s omnipotence, stone) -- 4. Paradoxes of self-reference (Möbius ribbon (band), Klein’s bottle, liar paradox, Buridan, barber, Richard, Berry, Grelling and Nelson, unexpected examination, crocodile) -- 5. Ontological paradoxes -- 6. Epilogue -- Bibliography -- Subject index -- Name index.
Content:
The book is a monograph devoted to paradoxes of reasoning in the European tradition of philosophical logic. For each paradox, it analyses important attempts at its solution.The content is arranged according to the new classification of paradoxes presented by the author. The paradoxes discussed in the first three chapters can be called intra-linguistic ones. The first chapter analyzes paradoxes resulting from a clash between a logically correct reasoning and previously accepted opinions. The second one is devoted to paradoxes resulting from the error of ambiguity. The third one analyzes reasonings, whose paradoxical character originates in self-referent language constructions. Chapter four discusses paradoxes which are called ontological ones, whose existence results from a confrontation between the language description of reality and that reality itself. The book is written in a clear way and does not require advanced knowledge of logic. It is addressed to readers with either humanist or scientific educational background and deals with important problems of language, cognition and reasoning in an accessible way. .
Note:
Includes bibliographical references and indexes
,
1 Introduction; References; 2 Paradoxes of Wrong Intuition; 2.1…Bottle Imp Paradox (Stevenson's Bottle), or the Unintuitive Character of a Conclusion Following a Sufficient Multiplication of a Simple Reasoning; 2.2…Newcomb's Paradox, or the Unintuitive Character of a Conclusion Drawn from Premises with Non-intuitive Assumption; 2.3…Paradox of Common Birthday, or the Unintuitive Character of Some Results in Probability Calculus; 2.4…Paradox of Approximation and Paradox of the Equator, or the Unintuitive Character of Some Results in Euclidean geometry
,
2.5…Horses' Paradox, or the Intuitive Character of an Erroneous Application of Mathematical Induction2.6…Hempel's Paradox (Raven, Confirmation), or the Unintuitive Character of Some Inductive Reasoning Results; 2.7…Paradoxes of Infinity, or Unintuitive Character of Some Results Obtained in Set Theory; 2.7.1 Aristotelian Circles Paradox, or the Definition of an Infinite Set; 2.7.2 Holy Trinity Paradox, or Application of the Definition of Infinite Set in Theology; 2.8…Fitch's Paradox, or the Conflict of Two Intuitions; References; 3 Paradoxes of Ambiguity
,
3.1…Protagoras' (Law Teacher's) Paradox3.2…Electra's (the Veiled One's) Paradox and Other Equivocations; 3.3…The Horny One's Paradox; 3.4…Nameless Club Paradox; 3.5…Paradox of a Stone, or an Attempt at Disproving God's Omnipotence; References; 4 Paradoxes of Self-Reference; 4.1…Möbius Ribbon and Klein Bottle, or Self-Reference in Mathematics; 4.2…Great Semantical Paradoxes; 4.2.1 Liar Antinomy; 4.2.1.1 Tarski's Proposal; 4.2.1.2 Parsons' Proposal; 4.2.1.3 Burge's Proposal; 4.2.1.4 Martin's and Woodruff's Proposal; 4.2.1.5 Kripke's Proposal; 4.2.1.6 Gupta's Proposal
,
4.2.1.7 Feferman's Proposal4.2.1.8 Priest's Proposal; 4.2.1.9 Barwise's and Etchemendy's Proposal; 4.2.1.10 The Author's Own Proposal; 4.2.1.11 Summing up of the Proposed Solution; 4.2.2 Buridan's Paradox; 4.2.2.1 Proposed Solution of Buridan's Paradox; 4.2.3 Generalized Form of Liar Antinomy; 4.2.3.1 Proposed Solution for Generalized Liar Antinomy; 4.2.4 Curry's Paradox; 4.3…Other Semantic Paradoxes; 4.3.1 Barber's Antinomy; 4.3.2 Richard's and Berry's Antinomies; 4.3.3 Grelling's Antinomy (Vox Non Appellans Se); 4.4…Unexpected Examination (Hangman's) Paradox, or Self-Reflexive Reasoning
,
4.5…Crocodile's Paradox, or Baron Münchhausen FallacyReferences; 5 Ontological Paradoxes; 5.1…Paradoxes of Difference: Paradox of a Heap; 5.1.1 What is Vagueness?; 5.1.2 Proposals Substituting Preciseness for Vagueness; 5.1.3 Vagueness Respecting Proposals; 5.2…Paradoxes of Change; 5.2.1 Paradox of the Moment of Death (Change of State Paradox); 5.2.2 Paradoxes of Identity; 5.2.3 The Paradoxes of Motion; 5.3…Diagnosis of Paradoxes of Vagueness and Change; References; Names Index; Subject Index
Additional Edition:
ISBN 9789400714755
Additional Edition:
Buchausg. u.d.T. Łukowski, Piotr Paradoxes Dordrecht : Springer, 2011 ISBN 9789400714755
Language:
English
Subjects:
Philosophy
Keywords:
Paradoxon
;
Logik
;
Paradoxon
;
Selbstbezüglichkeit
;
Paradoxon
;
Ontologie
;
Paradoxon
;
Logik
;
Paradoxon
;
Selbstbezüglichkeit
;
Paradoxon
;
Ontologie
DOI:
10.1007/978-94-007-1476-2
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
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