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Bibliographic Details
Main Authors:	Atkinson, David 1939- (Author), Peijnenburg, Jeanne (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham, Switzerland SpringerOpen [2017]
Series:	Synthese library volume 383
Subjects:	Philosophy Operations research Decision making Epistemology Mathematical logic Physics Statistics Mathematical Logic and Foundations Statistical Theory and Methods History and Philosophical Foundations of Physics Operation Research/Decision Theory Philosophie Statistik Mathematische Logik Wahrscheinlichkeitslogik Erkenntnistheorie
Links:	https://doi.org/10.1007/978-3-319-58295-5 https://doi.org/10.1007/978-3-319-58295-5 http://deposit.dnb.de/cgi-bin/dokserv?id=db1fd94a52424245a5b869a0acb5f8e7&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029799201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Literaturverzeichnis Seite 219-231 Open Access-Titel
Physical Description:	1 Online-Ressource (xi, 238 Seiten) Diagramme
ISBN:	9783319582955
DOI:	10.1007/978-3-319-58295-5

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Record in the Search Index

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adam_text	Contents 1 The Regress Problem. 1 1.1 Reasons for Reasons: Agrippa’s Trilemma . 1 1.2 Coherentism and Infinitism. 8 1.3 Vicious Versus Innocuous Regress. 14 2 Epistemic Justification. 2.1 Making a Concept Clear. 2.2 Two Questions. 2.3 Entailment. 2.4 Probabilistic Support. 2.5 Smith’s Normic Support. 2.6 Alston’s Epistemic Probability. 25 25 29 33 36 45 51 3 The Probabilistic Regress. 3.1 A New Twist. 3.2 The Lewis-Reichenbach Dispute. 3.3 Lewis’s Argument. 3.4 A Counterexample. 3.5 A Nonuniform Probabilistic Regress. 3.6 Usual and Exceptional Classes. 3.7 Barbara Bacterium. 59 59 61 65 69 72 74 78 4 Fading Foundations and the Emergenceof Justification. 4.1 Fading Foundations . 4.2 Propositions versus Beliefs. 4.3 Emergence of Justification. 4.4 Where Does the Justification Come From?. 4.5 Tour d’horizon. 83 83 86 90 94 98 ix X Contents 5 Finite Minds. 101 5.1 Ought-Implies-Can. 101 5.2 Completion and Computation.105 5.3 Probabilistic Justification as a Trade-Off. 107 5.4 Carl the Calculator. 115 6 Conceptual Objections. 119 6.1 The No Starting Point Objection.119 6.2 A Probabilistic Regress Needs No Starting Point. 124 6.3 The Reductio Argument. 128 6.4 How the Probabilistic Regress Avoids the Reductio. 131 6.5 Threshold and Closure Constraints.134 6.6 Symmetry and Nontransitivity. 139 7 Higher-Order Probabilities. 143 7.1 Two Probabilistic Regresses . 143 7.2 Second- and Higher-Order Probabilities. 145 7.3 Rescher’s Argument. 150 7.4 The Two Regresses Are Isomorphic.156 7.5 Making Coins. 160 8 Loops and Networks. 167 8.1 Tortoises and Serpents. 167 8.2 One-Dimensional Loops . 169 8.3 Multi-Dimensional Networks. 173 8.4 The Mandelbrot Fractal. 177 8.5 Mushrooming Out. 182 8.6 Causal Graphs. 185 A The A.l A.2 A.3 A.4 A.5 A.6 A.7 A.8 В Rule of Total Probability. 191 Iterating the rule of total probability. 192 Extrema of the finite series . 193 Convergence of the infinite series.194 When does the remainder term vanish?. 195 Example in the usual class. 196 Example in the exceptional class. 197 The regress of entailment.198 Markov condition and conjunctions. 199 Closure Under Conjunction . 203 Contents xi C Washing Out of the Prior. 207 C.l Washingout. 207 C.2 Example: a bent coin. .'. 209 C.3 Washing out is not fading away. 211 D Fixed-Point Methods. 213 D.l Linear iteration. 213 D.2 Quadratic Iteration. 214 References. 219 Index.233
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spellingShingle	Atkinson, David 1939- Peijnenburg, Jeanne Fading foundations probability and the regress problem Synthese library Philosophy Operations research Decision making Epistemology Mathematical logic Physics Statistics Mathematical Logic and Foundations Statistical Theory and Methods History and Philosophical Foundations of Physics Operation Research/Decision Theory Philosophie Statistik Mathematische Logik (DE-588)4037951-6 gnd Wahrscheinlichkeitslogik (DE-588)4464431-0 gnd Erkenntnistheorie (DE-588)4070914-0 gnd
subject_GND	(DE-588)4037951-6 (DE-588)4464431-0 (DE-588)4070914-0
title	Fading foundations probability and the regress problem
title_auth	Fading foundations probability and the regress problem
title_exact_search	Fading foundations probability and the regress problem
title_full	Fading foundations probability and the regress problem David Atkinson, Jeanne Peijnenburg
title_fullStr	Fading foundations probability and the regress problem David Atkinson, Jeanne Peijnenburg
title_full_unstemmed	Fading foundations probability and the regress problem David Atkinson, Jeanne Peijnenburg
title_short	Fading foundations
title_sort	fading foundations probability and the regress problem
title_sub	probability and the regress problem
topic	Philosophy Operations research Decision making Epistemology Mathematical logic Physics Statistics Mathematical Logic and Foundations Statistical Theory and Methods History and Philosophical Foundations of Physics Operation Research/Decision Theory Philosophie Statistik Mathematische Logik (DE-588)4037951-6 gnd Wahrscheinlichkeitslogik (DE-588)4464431-0 gnd Erkenntnistheorie (DE-588)4070914-0 gnd
topic_facet	Philosophy Operations research Decision making Epistemology Mathematical logic Physics Statistics Mathematical Logic and Foundations Statistical Theory and Methods History and Philosophical Foundations of Physics Operation Research/Decision Theory Philosophie Statistik Mathematische Logik Wahrscheinlichkeitslogik Erkenntnistheorie
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work_keys_str_mv	AT atkinsondavid fadingfoundationsprobabilityandtheregressproblem AT peijnenburgjeanne fadingfoundationsprobabilityandtheregressproblem

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