## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
---|---|---|---|

Field, Hartry Books on Amazon |
Loewenheim | I 131 LĂ¶wenheim-Skolem / down / Field: says that there must be no uncountable models for 1st order consistent theories. - Compactness theorem / LĂ¶wenheim-Skolem / up: says that each 1st order space-time theory, according to which there are infinitely many space-time points, will have models, in which the set of the space-time points is mightier than the set of real numbers - problem: then the Representation theorem does not apply. |
Fie I H. Field Realism, Mathematics and Modality Oxford New York 1989 Fie II H. Field Truth and the Absence of Fact Oxford New York 2001 Fie III H. Field Science without numbers Princeton New Jersey 1980 |

> Counter arguments against **Field**

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Ed. Martin Schulz, access date 2017-03-27