Combining Texts

All the ideas for 'fragments/reports', 'On the Introduction of Transfinite Numbers' and 'Discourse on Metaphysics'

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20 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
19342 Reason avoids multiplying hypotheses or principles [Leibniz]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
12711 The immediate cause of movements is more real [than geometry] [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
19349 The complete notion of a substance implies all of its predicates or attributes [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
7558 Substances mirror God or the universe, each from its own viewpoint [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
16761 Forms are of no value in physics, but are indispensable in metaphysics [Leibniz]
9. Objects / D. Essence of Objects / 1. Essences of Objects
13088 Subjects include predicates, so full understanding of subjects reveals all the predicates [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
13085 Leibniz is some form of haecceitist [Leibniz, by Cover/O'Leary-Hawthorne]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
5024 Knowledge doesn't just come from the senses; we know the self, substance, identity, being etc. [Leibniz]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
5027 If a person's memories became totally those of the King of China, he would be the King of China [Leibniz]
16. Persons / F. Free Will / 1. Nature of Free Will
5023 Future contingent events are certain, because God foresees them, but that doesn't make them necessary [Leibniz]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
2119 People argue for God's free will, but it isn't needed if God acts in perfection following supreme reason [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
5025 Mind and body can't influence one another, but God wouldn't intervene in the daily routine [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
5026 Animals lack morality because they lack self-reflection [Leibniz]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]