## Philosophy Lexicon of Arguments | |||

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

Simons, Peter Books on Amazon |
Set Theory | I 12 Set theory: seperate quantities have one element in common: the empty set - mereology: here, it does not exist. - Partial order: here is the common part the lower barrier - product: greatest lower barrier: - the individual, that x and y have in common - (= average of the set theory, lens in Venndiagram). - stronger: binary sum: is the individual who overlaps iff it at least overlaps one of x or y (Venndiagram: both circles with lens) - E.g. Broom sum of handle and head - any two individuals always have a sum. --- I 279 Set Theory/Modality/necessity/Simons: rigidity of the element relationship: a class can have in no possible world other elements, as it has in the actual world. - This is analog to the mereological essentialism for subsets. --- I 332 Set Theory/mereology/elements/(s): elements are not interchangeable - parts are. |
Si I P. Simons Parts Oxford New York 1987 |

> Counter arguments against **Simons**

> Counter arguments in relation to **Set Theory**

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Ed. Martin Schulz, access date 2017-03-25