Combining Texts

Ideas for 'Thinking About Mathematics', 'On Nature Itself (De Ipsa Natura)' and 'Ontology and Mathematical Truth'

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2 ideas

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The empty set is the purest abstract object [Jubien]
     Full Idea: The empty set is the pure abstract object par excellence.
     From: Michael Jubien (Ontology and Mathematical Truth [1977], p.118 n8)
     A reaction: So a really good PhD on the empty set could crack the whole nature of reality. Get to work, whoever you are!
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is a force for acting and being acted upon [Leibniz]
     Full Idea: The very substance in things consists of a force for acting and being acted upon.
     From: Gottfried Leibniz (On Nature Itself (De Ipsa Natura) [1698], §08)
     A reaction: Garber places this text just before the spiritual notion of monads took a grip on Leibniz. He seems to have thought that only some non-physical entity, with appetite and perception, could generate force. Wrong.