Philosophical introduction to probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stanford, Calif.
CSLI Publ.
2005
|
| Schriftenreihe: | CSLI lecture notes
167 |
| Schlagworte: | |
| Online-Zugang: | Table of contents Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 265 S. |
| ISBN: | 1575864908 1575864894 |
Internformat
MARC
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| 100 | 1 | |a Galavotti, Maria Carla |d 1947- |e Verfasser |0 (DE-588)135739462 |4 aut | |
| 245 | 1 | 0 | |a Philosophical introduction to probability |c Maria Carla Galavotti |
| 264 | 1 | |a Stanford, Calif. |b CSLI Publ. |c 2005 | |
| 300 | |a X, 265 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a CSLI lecture notes |v 167 | |
| 500 | |a Includes bibliographical references and index | ||
| 505 | 8 | |a The notion of probability -- The laws of probability -- The classical interpretation -- The frequency interpretation -- The propensity interpretation -- The logical interpretation -- The subjective interpretation. | |
| 650 | 7 | |a Probabiliteit |2 gtt | |
| 650 | 4 | |a Probabilités | |
| 650 | 4 | |a Probabilities | |
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Datensatz im Suchindex
| _version_ | 1804133284082352128 |
|---|---|
| adam_text | Contents
Introductory remarks I
1.
The notion of
probability
1.1
A historical sketch
7
The birth of probability
7
The dual character of probability
12
Jakob Bernoulli and direct probability
13
Nikolaus
and Daniel Bernoulli
15
Thomas
Bayes
and inverse probability
17
Probability and social mathematics: Condorcet and Quetelet
18
The rise of contemporary statistics: Galton, Pearson, Fisher
21
The advent of probability in physics
25
1.2
Probability and induction
27
Francis Bacon
28
Induction as ampliative inference
29
Hume s problem of induction
ЗІ
Mill, Herschel, Whewell
34
2.
The laws of probability
2.1
The fundamental properties of probability
39
2.2
Bayes
rule
47
2.3
Kolniogorov s automatization
52
VIU A
PHILOSOPHICAL INTRODUCTION TO PROBABILITY
3.
The classical interpretation
3.1
Laplace and the Principle of insufficient reason
57
Determinism
57
The Principle of insufficient reason
60
The Rule of succession
62
Expectation and certainty
64
3.2
Problems of the classical definition
66
4.
The frequency interpretation
4.1
Robert Leslie Ellis
71
4.2
John Venn
74
Probability as limiting frequency
74
Criticism of the rale of succession
77
Probability and belief
78
43
Richard
von
Mises
and the theory of collectives
81
Von
Mises
approach
81
Collectives
83
Randomness
85
Collective-based probability
87
Applications to science
89
4.4
Hans Reichenbach s probabilistic epistemology
91
Reichenbach s frequentism
91
The theory of posits
95
The justification of induction
98
Causality
99
4.5
Ernest Nagel s truth-frequency theory
101
5.
The propensity interpretation
5.1
Peirce, the forerunner
105
5.2
Popper s propensity interpretation
106
Falsificationism
106
The propensity interpretation of probability
109
CONTENTS
A world of propensities
112
5.3
After Popper
114
Single-case and long-run propensity theories
114
Humphrey
s
paradox
118
Propensity as an ingredient of the description of chance
phenomena
121
5.4
Digression on chance and randomness
125
Historical remarks
125
Poincaré s
views on chance
126
The riddle of randomness
128
Is chance objective?
132
6.
The logical interpretation
6.1
Beginnings
135
6.2
The nineteenth century English Logicists:
De
Morgan, Boole, Jevons
136
Augustus
De
Morgan
136
George Boole
138
William Stanley Jevons
141
6.3
John Maynard Key
nes
144
Probability as a logical relation
144
Rationality and the role of intuition
147
Analogy, relevance and weight
149
Ramsey s criticism
152
6.4
WiUiam Ernest Johnson
153
6.5
Viennese logicism: Wittgenstein and
Waismann 158
Ludwig
Wittgenstein
158
Friedrich Waismann 161
6.6
Rudolf Carnap s inductive logic
164
Two concepts of probability
164
The logic of confirmation
169
The turn of the Sixties
174
χ Α
PHILOSOPHICAL INTRODUCTION TO PROBABILITY
6.7
Harold Jeffreys between logicism and subjectivism
178
Bayesianism
178
The interpretation of probability
181
Probabilistic epistemology
184
7.
The subjective interpretation
7.1
The beginnings
189
William Donkin
189
Emile
Borei
191
7.2
Frank
Plumpton
Ramsey and the notion of coherence
194
Degrees of belief and consistency
194
Ramsey, Keynes and Wittgenstein
200
Belief, frequency and probability in physics
202
7.3
Bruno
de Finetti
and exchangeability
208
De Finetti s
radical probabilism
208
Subjective Bayesianism
215
Criticism of other interpretations of probability
220
Indeterminism
223
7.4
Some recent trends
225
Richard Jeffrey s radical probabilism
225
Patrick Suppes probabilistic empiricism
230
Closing remarks
235
References
239
Index
261
CSLI
Lecture Notes
Number
167
Not limited to merely mathematics, probability has a
rich and controversial philosophical aspect.
Philosophical Introduction to Probability showcases
lesser-known philosophical notions of probability and
explores the debate over their interpretations.
Galavotti traces the history of probability and its
mathematical properties and then discusses various
philosophical positions on probability, including
Pierre Simon
de
Laplace s classical interpretation of
probability, the frequency interpretation of Richard
von
Mises,
the subjectivism of Frank Ramsey and
Bruno
de Finettit,
and the logical interpretation
proposed by John Maynard Keynes. This book is a
valuable resource for students in philosophy and
mathematics and all readers interested in notions of
probability.
Maria
Carla
Galavotti is professor of philosophy of
science at the University of Bologna.
|
| any_adam_object | 1 |
| author | Galavotti, Maria Carla 1947- |
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| classification_rvk | CC 3300 |
| classification_tum | PHI 500f MAT 600f |
| contents | The notion of probability -- The laws of probability -- The classical interpretation -- The frequency interpretation -- The propensity interpretation -- The logical interpretation -- The subjective interpretation. |
| ctrlnum | (OCoLC)57405382 (DE-599)BVBBV019794142 |
| dewey-full | 121/.63 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 121 - Epistemology (Theory of knowledge) |
| dewey-raw | 121/.63 |
| dewey-search | 121/.63 |
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| dewey-tens | 120 - Epistemology, causation, humankind |
| discipline | Mathematik Philosophie / Ethik Philosophie |
| format | Book |
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| isbn | 1575864908 1575864894 |
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| spelling | Galavotti, Maria Carla 1947- Verfasser (DE-588)135739462 aut Philosophical introduction to probability Maria Carla Galavotti Stanford, Calif. CSLI Publ. 2005 X, 265 S. txt rdacontent n rdamedia nc rdacarrier CSLI lecture notes 167 Includes bibliographical references and index The notion of probability -- The laws of probability -- The classical interpretation -- The frequency interpretation -- The propensity interpretation -- The logical interpretation -- The subjective interpretation. Probabiliteit gtt Probabilités Probabilities Philosophie (DE-588)4045791-6 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Philosophie (DE-588)4045791-6 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s DE-604 CSLI lecture notes 167 (DE-604)BV001900711 167 http://www.loc.gov/catdir/toc/ecip056/2005000367.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013119837&sequence=000007&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013119837&sequence=000008&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Galavotti, Maria Carla 1947- Philosophical introduction to probability CSLI lecture notes The notion of probability -- The laws of probability -- The classical interpretation -- The frequency interpretation -- The propensity interpretation -- The logical interpretation -- The subjective interpretation. Probabiliteit gtt Probabilités Probabilities Philosophie (DE-588)4045791-6 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4079013-7 (DE-588)4151278-9 |
| title | Philosophical introduction to probability |
| title_auth | Philosophical introduction to probability |
| title_exact_search | Philosophical introduction to probability |
| title_full | Philosophical introduction to probability Maria Carla Galavotti |
| title_fullStr | Philosophical introduction to probability Maria Carla Galavotti |
| title_full_unstemmed | Philosophical introduction to probability Maria Carla Galavotti |
| title_short | Philosophical introduction to probability |
| title_sort | philosophical introduction to probability |
| topic | Probabiliteit gtt Probabilités Probabilities Philosophie (DE-588)4045791-6 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Probabiliteit Probabilités Probabilities Philosophie Wahrscheinlichkeitstheorie Einführung |
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