Paradoxes: their roots, range, and resolution
A paradox (from the Greek word meaning "contrary to expectation") is a statement that seems self-contradictory but may be true. Exploring the distinction between truth and plausibility, the author presents a standardized, straightforward approach for deciphering paradoxes -- one that can be applied to all their forms, whether clever wordplay or more complex issues.
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Paradoxes Discussed in Chapter 4 55
Paradox Solution via Retention Prioritization
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abandon accept accordingly actual alternatives analysis answer aporetic cluster aporetic situation apory argument arises Aristotle basis Berry's Paradox Cantor's Paradox chain of inconsistency claims cognitive collectively inconsistent conflict constitutes an inconsistent contexts contradicts counterfactual counterfactual conditionals defining definition discussion engender epistemic equivocation Eubulides evidential example existence fact false finite G.K. Chesterton Geschichte hypothesis idea identified inconsistent set inconsistent triad infinite insolubilia integer Introduction Principle SIP involved Liar Paradox logic Lottery Paradox matter meaningful means nature paradox at issue Paradoxes Considered philosophical Prantl preceding predicate predictor Preface Paradox premisses presupposition priority ranking problem problematic Protagoras question R/A-alternatives rational real numbers reasoning reductio rejection resolved restore consistency result retention profile Richard's Paradox Russell's Russell's Paradox self-reference sentence simply Socrates sophisms Sophists sort specification statement Successful Introduction Principle supposed supposition theory thesis things tion tive true truth untenable weakest link Zeno Zeno of Elea Zeno's Zeno's Paradox