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All the ideas for 'Universal Arithmetick', 'works' and 'Many, but almost one'

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10 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Do not multiply entities beyond necessity [William of Ockham]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
Species and genera are individual concepts which naturally signify many individuals [William of Ockham]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
We have one cloud, but many possible boundaries and aggregates for it [Lewis]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
Even an angel must have some location [William of Ockham, by Pasnau]