## Philosophy Lexicon of Arguments | |||

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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 | Summary | Meta data |
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I 63 ~ Empty set/Prior: creates only the logical construction identity between unicorns and Pegasi. - A logical structure is not any sort of entity. - ((s) there is only one empty set, so unlike anything - makes unicorns and Pegasi not comparable because it has no elements). I 63 ~ Empty set/Prior: solution: to say that there is exactly one null class, is simply: for a φ: nothing φ-s and for each φ and ψ, nothing φ-s and nothing ψ-s - then whatever ψ-s,φ-s and whatever ψ-s, φ-s - related: relation-in-extension. _____________ 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. |
Pri I A. Prior Objects of thought Oxford 1971 Pri II Arthur N. Prior Papers on Time and Tense 2nd Edition Oxford 2003 |

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Ed. Martin Schulz, access date 2018-06-22