## Philosophy Lexicon of Arguments | |||

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Author | Item | Summary | Meta data |
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III 95 Finite/finiteness/1st order logic with identity/Field: a statement about finiteness cannot be identified with a sentence of 1st order logic plus identity. Solution: take "There is only a finite number of" as a primitive quantifier. - A theory of truth for "E-fin" of course, would have to introduce the notion of finiteness. But this is not an objection to the clarity and usability of the logic. At least the assertion "There are infinitely many grains of sand" needs no functions, quantities and numbers. _____________ Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. |
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 2018-06-24