## Philosophy Lexicon of Arguments | |||

Empty set: an empty set is a set without an element. Notation ∅ or {}. There is only one empty set, since without an existing element there is no way to specify a specification of the set. The empty set can be specified as such that each element of the empty set is not identical with itself {x x unequal x}. Since there is no such object, the set must be empty. The empty set is not the number zero, but zero indicates the cardinality of the empty set._____________ Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||

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

Books on Amazon |
IX 218 Empty set/zero class/Quine: L not equal to 0! (For Frege 0, namely {L}. --- A propos IX 226 ~ Empty set/zero class/(s): unlike definition gap (e.g. divide continuity through zero) - real gap: a well-defined condition is not met, e.g. primes between 31 and 37: 5 natural numbers do not satisfy the condition, 0 natural numbers fulfill the condition - for an infinite number of rational numbers and real numbers the condition is not defined - universal class/(s) if there is nothing that fulfills the condition it is questionable whether we can talk of a set (because it does not match a term) - the other way around: what is should be the condition for the universal class? _____________ 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. |
Q I W.V.O. Quine Wort und Gegenstand Stuttgart 1980 Q II W.V.O. Quine Theorien und Dinge Frankfurt 1985 Q III W.V.O. Quine Grundzüge der Logik Frankfurt 1978 Q IX W.V.O. Quine Mengenlehre und ihre Logik Wiesbaden 1967 Q V W.V.O. Quine Die Wurzeln der Referenz Frankfurt 1989 Q VI W.V.O. Quine Unterwegs zur Wahrheit Paderborn 1995 Q VII W.V.O. Quine From a logical point of view Cambridge, Mass. 1953 Q VIII W.V.O. Quine Bezeichnung und Referenz InZur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982 Q X W.V.O. Quine Philosophie der Logik Bamberg 2005 Q XII W.V.O. Quine Ontologische Relativität Frankfurt 2003 |

> Counter arguments against **Quine**

> Suggest your own contribution | > Suggest a correction | > Export as BibTeX Datei

Ed. Martin Schulz, access date 2017-06-29