Parts of Classes
Seiten
1991
Blackwell Publishers (Verlag)
978-0-631-17655-8 (ISBN)
Blackwell Publishers (Verlag)
978-0-631-17655-8 (ISBN)
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Aimed at philosophers of logic, set theory and mathematics, this philosophical treatise argues that the notion of part and whole - the theory of mereology - has application to classes because of one-membered "singleton" subclasses, thus resulting in a reconception of set theory.
Does the notion of part and whole have any application to classes? Lewis argues that it does, and that the smallest parts of any class are its one-membered "singleton" subclasses. That results in a reconception of set theory. The set-theoretical making of one out of many is just the composition of one whole out of many parts. But first, one singleton must be made out of its one member - this is the distinctively set-theoretical primitive operation. Thus set theory is entangled, with mereology: the theory of parts and wholes.
Does the notion of part and whole have any application to classes? Lewis argues that it does, and that the smallest parts of any class are its one-membered "singleton" subclasses. That results in a reconception of set theory. The set-theoretical making of one out of many is just the composition of one whole out of many parts. But first, one singleton must be made out of its one member - this is the distinctively set-theoretical primitive operation. Thus set theory is entangled, with mereology: the theory of parts and wholes.
Taking classes apart; the trouble with classes; a framework for set theory; set theory for mereologists.
| Erscheint lt. Verlag | 10.1.1991 |
|---|---|
| Zusatzinfo | 4 figures, index |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-631-17655-1 / 0631176551 |
| ISBN-13 | 978-0-631-17655-8 / 9780631176558 |
| Zustand | Neuware |
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