MODEL THEORY OF MEASURE SPACES AND PROBABILITY LOGIC
We study the model-theoretic aspects of a probability logic suited for talking about measure spaces. This nonclassical logic has a model theory rather different from that of classical predicate logic. In general, not every satisfiable set of sentences has a countable model, but we show that one can...
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| Veröffentlicht in: | The review of symbolic logic 2013-09, Vol.6 (3), p.367-393 |
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| container_title | The review of symbolic logic |
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| creator | KUYPER, RUTGER TERWIJN, SEBASTIAAN A. |
| description | We study the model-theoretic aspects of a probability logic suited for talking about measure spaces. This nonclassical logic has a model theory rather different from that of classical predicate logic. In general, not every satisfiable set of sentences has a countable model, but we show that one can always build a model on the unit interval. Also, the probability logic under consideration is not compact. However, using ultraproducts we can prove a compactness theorem for a certain class of weak models. |
| doi_str_mv | 10.1017/S1755020313000063 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1755-0203 |
| ispartof | The review of symbolic logic, 2013-09, Vol.6 (3), p.367-393 |
| issn | 1755-0203 1755-0211 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Predicate logic |
| title | MODEL THEORY OF MEASURE SPACES AND PROBABILITY LOGIC |
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