ISBN:
9789048133413
Language:
English
Pages:
1 online resource (218 pages)
Series Statement:
Argumentation Library v.17
Parallel Title:
Erscheint auch als
DDC:
160
Keywords:
Logic
;
Vicious circle principle (Logic)
;
Electronic books
Abstract:
Infinite regress arguments are part of a philosopher's tool kit. But how sharp or strong is this tool? The author has collected and evaluated a host of infinite regress arguments, comparing and contrasting many of the formal and non-formal properties.
Abstract:
Intro -- Acknowledgements -- Introduction -- 1 What is an Infinite Regress Argument? -- 1.1 The General Structure of Infinite Regress Arguments -- 1.2 Boundaries of an Infinite Regress Argument -- 1.2.1 Boundaries when an Infinite Regress is Vicious -- 1.2.2 Boundaries when an Infinite Regress is Benign -- 1.3 A Hypothesis About the Nature of Infinite Regresses -- 1.4 Testing Hypothesis H -- 1.5 Testing Hypothesis H with Nonconcatenating Regresses -- 1.6 Potentially Infinite and Actually Infinite Regresses -- 1.7 The Necessary Quantity of Terms and Relations -- 1.8 Applications of Hypothesis H to Various Examples -- 1.8.1 Plato's Couch -- 1.8.2 Teachers Taught by Teachers -- 1.8.3 Gods Giving Meaning to Gods -- 1.8.4 Maps of Maps -- 1.8.5 Lewis Carroll''s ''What the Tortoise Said to Achilles'' -- 1.9 Logical Functions of Infinite Regresses -- 1.9.1 Benign Regresses -- 1.9.2 Superfluous Regresses -- 1.10 Cogency and Benign Regresses -- 2 The Formal and Nonformal Logic of Infinite Concatenating Regresses -- 2.1 Recurring Terms, Loops, and Regress Formulas -- 2.2 The Relation of Terms and Objects of an Infinite Regress -- 2.3 Applications -- 2.4 Recurring Terms, Loops, and Infinite Concatenating Regresses -- 2.5 Relations and Loops -- 2.6 Blocking All Possible Loops -- 2.7 Are Irreflexivity, or Asymmetry or Transitivity Necessary to Block Loops? -- 2.8 Concatenating Relations in Regress Formulas -- 2.9 Directions of Infinite Concatenating Regresses -- 2.9.1 The Importance of the Direction of an Infinite Regress -- 2.9.2 The Formal Direction of an Infinite Regress -- 2.9.3 The Semantic Direction of an Infinite Regress -- 2.10 Non-formal Considerations in Regress Formulas -- 2.10.1 Relations and Their Implications -- 2.10.2 Unstated Properties of Relations and Terms.
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