Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Tractatus de corpore Christi' and '25: Third Epistle of John'

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4 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Why use more things when fewer will do? [William of Ockham]
     Full Idea: It is pointless to do through more things something that can be done through fewer.
     From: William of Ockham (Tractatus de corpore Christi [1323], Ch. 29), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 14.3
     A reaction: The more famous formulation isn't found in his works, so I'm delighted to find an authentic quotation from the man.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
Every extended material substance is composed of parts distant from one another [William of Ockham]
     Full Idea: Every extended material substance is composed of substantial parts distant from one another in place or location.
     From: William of Ockham (Tractatus de corpore Christi [1323], Ch. 12)
     A reaction: Pasnau glosses this as that 'bodies have corpuscular structure', meaning that they are made up of parts of matter (rather than just enformed matter, I think).
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
He that does evil has not seen God [John]
     Full Idea: He that doeth evil hath not seen God.
     From: St John (25: Third Epistle of John [c.90], 11)
     A reaction: This gives God a role striking similar to Plato's Form of the Good. Plato thought the Good was prior to the gods, but he gives the good a quasi-religious role. I say we would only be inspired by the sight of God if we already had a moral sense.