Combining Texts

All the ideas for 'Reportatio', 'Whitehead and the Rise of Modern Logic' and 'A General Principle to Explain Laws of Nature'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Philosophy is sanctified, because it flows from God [Leibniz]
     Full Idea: Philosophy is sanctified by having its streams flow from the fountain of God's attributes.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.69)
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]
     Full Idea: Quine (in 1941) attacked 'Principia Mathematica' because the items in the range of higher-order variables (attributes etc) are intensional and thus do not have a clearly defined identity relation.
     From: report of Willard Quine (Whitehead and the Rise of Modern Logic [1941]) by Stewart Shapiro - Foundations without Foundationalism 1.3
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]
     Full Idea: Quine (1941) said that Russell had confused use and mention, and thus thought he had reduced classes to linguistic entities, while in fact he reduced them only to Platonic properties.
     From: report of Willard Quine (Whitehead and the Rise of Modern Logic [1941]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.133
     A reaction: This is cited as the 'orthodox critical interpretation' of Russell and Whitehead. Confusion of use and mention was a favourite charge of Quine's.
9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
     Full Idea: Equality may be considered as an infinitely small inequality, and we may make inequality approach equality as much as we wish.
     From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.67)
     A reaction: An interesting response to David Lewis's brusque dismissal of the problem of identity, as all-or-nothing...end of story.
28. God / A. Divine Nature / 3. Divine Perfections
God is not wise, but more-than-wise; God is not good, but more-than-good [William of Ockham]
     Full Idea: God is not wise, but more-than-wise; God is not good, but more-than-good.
     From: William of Ockham (Reportatio [1330], III Q viii)
     A reaction: [He is quoting 'Damascene'] I quote this for interest, but I very much doubt whether Damascene or William knew what it meant, and I certainly don't. There seems to have been a politically correct desire to invent super-powers for God.
28. God / C. Attitudes to God / 4. God Reflects Humanity
We could never form a concept of God's wisdom if we couldn't abstract it from creatures [William of Ockham]
     Full Idea: What we abstract is said to belong to perfection in so far as it can be predicated of God and can stand for Him. For if such a concept could not be abstracted from a creature, then in this life we could not arrive at a cognition of God's wisdom.
     From: William of Ockham (Reportatio [1330], III Q viii)
     A reaction: This seems to be the germ of an important argument. Without the ability to abstract from what is experienced, we would not be able to apply general concepts to things which are beyond experience. It is a key idea for empiricism.