Combining Texts

All the ideas for 'works', 'What do powers do when they are not manifested?' and 'The Search After Truth'

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
8. Modes of Existence / B. Properties / 8. Properties as Modes
Everything that exists is either a being, or some mode of a being [Malebranche]
     Full Idea: It is absolutely necessary that everything in the world be either a being or a mode [manière] of a being.
     From: Nicolas Malebranche (The Search After Truth [1675], III.2.8.ii), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 13.4
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Powers are claimed to be basic because fundamental particles lack internal structure [Psillos]
     Full Idea: The argument for fundamental powers is that fundamental particles are simple, without internal structure. Hence they have no parts which can be the bearers of further properties (powers or non-powers) which in turn ground the properties of the particles.
     From: Stathis Psillos (What do powers do when they are not manifested? [2006], p.151), quoted by Anna Marmodoro - Do powers need powers to make them powerful? 'The Problem'
     A reaction: If a power is basic, what has the power? I think the best answer is that at the fundamental level this is a false dichotomy. If you could zoom in, you would say that basic substance is active in a way that everyday stuff doesn't appear to be.
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
In a true cause we see a necessary connection [Malebranche]
     Full Idea: A true cause is one in which the mind perceives a necessary connection between the cause and its effect.
     From: Nicolas Malebranche (The Search After Truth [1675], 1.649 (450)), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 5
     A reaction: Presumably Hume was ignorant of 'true' causes, since he says he never saw this connection. But then is the perception done by the mind, or by the senses?