Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Summa quaestionum super Sententias' and 'The Web of Belief'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations do not add anything to reality, though they are real aspects of the world [Olivi]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity just adds union and location to the extension of parts [Olivi]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
27. Natural Reality / G. Biology / 5. Species
Things are limited by the species to certain modes of being [Olivi]