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Conditional Probability and Dutch Books
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| Zeitschriftentitel: | Philosophy of Science |
|---|---|
| Personen und Körperschaften: | |
| In: | Philosophy of Science, 67, 2000, 3, S. 391-409 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Cambridge University Press (CUP)
|
| Schlagwörter: |
| author_facet |
Döring, Frank Döring, Frank |
|---|---|
| author |
Döring, Frank |
| spellingShingle |
Döring, Frank Philosophy of Science Conditional Probability and Dutch Books History and Philosophy of Science Philosophy History |
| author_sort |
döring, frank |
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Döring, Frank 0031-8248 1539-767X Cambridge University Press (CUP) History and Philosophy of Science Philosophy History http://dx.doi.org/10.1086/392787 <jats:p>There is no set <jats:italic>Δ</jats:italic> of probability axioms that meets the following three desiderata: <jats:list list-type="simple"><jats:list-item><jats:p>(1) <jats:italic>Δ</jats:italic> is vindicated by a Dutch book theorem;</jats:p></jats:list-item><jats:list-item><jats:p>(2) <jats:italic>Δ</jats:italic> does not imply regularity (and thus allows, among other things, updating by conditionalization);</jats:p></jats:list-item><jats:list-item><jats:p>(3) <jats:italic>Δ</jats:italic> constrains the conditional probability <jats:italic>q</jats:italic>(·, z) even when the unconditional probability <jats:italic>p</jats:italic>(<jats:italic>z</jats:italic>) (= <jats:italic>q</jats:italic>(<jats:italic>z, T</jats:italic>)) equals 0.</jats:p></jats:list-item><jats:list-item><jats:p>This has significant consequences for Bayesian epistemology, some of which are discussed.</jats:p></jats:list-item></jats:list></jats:p> Conditional Probability and Dutch Books Philosophy of Science |
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Cambridge University Press (CUP), 2000 |
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Cambridge University Press (CUP), 2000 |
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0031-8248 1539-767X |
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2000 |
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Cambridge University Press (CUP) |
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Philosophy of Science |
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| title |
Conditional Probability and Dutch Books |
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Conditional Probability and Dutch Books |
| title_full |
Conditional Probability and Dutch Books |
| title_fullStr |
Conditional Probability and Dutch Books |
| title_full_unstemmed |
Conditional Probability and Dutch Books |
| title_short |
Conditional Probability and Dutch Books |
| title_sort |
conditional probability and dutch books |
| topic |
History and Philosophy of Science Philosophy History |
| url |
http://dx.doi.org/10.1086/392787 |
| publishDate |
2000 |
| physical |
391-409 |
| description |
<jats:p>There is no set <jats:italic>Δ</jats:italic> of probability axioms that meets the following three desiderata:
<jats:list list-type="simple"><jats:list-item><jats:p>(1) <jats:italic>Δ</jats:italic> is vindicated by a Dutch book theorem;</jats:p></jats:list-item><jats:list-item><jats:p>(2) <jats:italic>Δ</jats:italic> does not imply regularity (and thus allows, among other things, updating by conditionalization);</jats:p></jats:list-item><jats:list-item><jats:p>(3) <jats:italic>Δ</jats:italic> constrains the conditional probability <jats:italic>q</jats:italic>(·, z) even when the unconditional probability <jats:italic>p</jats:italic>(<jats:italic>z</jats:italic>) (= <jats:italic>q</jats:italic>(<jats:italic>z, T</jats:italic>)) equals 0.</jats:p></jats:list-item><jats:list-item><jats:p>This has significant consequences for Bayesian epistemology, some of which are discussed.</jats:p></jats:list-item></jats:list></jats:p> |
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| description | <jats:p>There is no set <jats:italic>Δ</jats:italic> of probability axioms that meets the following three desiderata: <jats:list list-type="simple"><jats:list-item><jats:p>(1) <jats:italic>Δ</jats:italic> is vindicated by a Dutch book theorem;</jats:p></jats:list-item><jats:list-item><jats:p>(2) <jats:italic>Δ</jats:italic> does not imply regularity (and thus allows, among other things, updating by conditionalization);</jats:p></jats:list-item><jats:list-item><jats:p>(3) <jats:italic>Δ</jats:italic> constrains the conditional probability <jats:italic>q</jats:italic>(·, z) even when the unconditional probability <jats:italic>p</jats:italic>(<jats:italic>z</jats:italic>) (= <jats:italic>q</jats:italic>(<jats:italic>z, T</jats:italic>)) equals 0.</jats:p></jats:list-item><jats:list-item><jats:p>This has significant consequences for Bayesian epistemology, some of which are discussed.</jats:p></jats:list-item></jats:list></jats:p> |
| doi_str_mv | 10.1086/392787 |
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| imprint | Cambridge University Press (CUP), 2000 |
| imprint_str_mv | Cambridge University Press (CUP), 2000 |
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| physical | 391-409 |
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| spelling | Döring, Frank 0031-8248 1539-767X Cambridge University Press (CUP) History and Philosophy of Science Philosophy History http://dx.doi.org/10.1086/392787 <jats:p>There is no set <jats:italic>Δ</jats:italic> of probability axioms that meets the following three desiderata: <jats:list list-type="simple"><jats:list-item><jats:p>(1) <jats:italic>Δ</jats:italic> is vindicated by a Dutch book theorem;</jats:p></jats:list-item><jats:list-item><jats:p>(2) <jats:italic>Δ</jats:italic> does not imply regularity (and thus allows, among other things, updating by conditionalization);</jats:p></jats:list-item><jats:list-item><jats:p>(3) <jats:italic>Δ</jats:italic> constrains the conditional probability <jats:italic>q</jats:italic>(·, z) even when the unconditional probability <jats:italic>p</jats:italic>(<jats:italic>z</jats:italic>) (= <jats:italic>q</jats:italic>(<jats:italic>z, T</jats:italic>)) equals 0.</jats:p></jats:list-item><jats:list-item><jats:p>This has significant consequences for Bayesian epistemology, some of which are discussed.</jats:p></jats:list-item></jats:list></jats:p> Conditional Probability and Dutch Books Philosophy of Science |
| spellingShingle | Döring, Frank, Philosophy of Science, Conditional Probability and Dutch Books, History and Philosophy of Science, Philosophy, History |
| title | Conditional Probability and Dutch Books |
| title_full | Conditional Probability and Dutch Books |
| title_fullStr | Conditional Probability and Dutch Books |
| title_full_unstemmed | Conditional Probability and Dutch Books |
| title_short | Conditional Probability and Dutch Books |
| title_sort | conditional probability and dutch books |
| title_unstemmed | Conditional Probability and Dutch Books |
| topic | History and Philosophy of Science, Philosophy, History |
| url | http://dx.doi.org/10.1086/392787 |