Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Modes of Extension: comment on Fine' and 'Of Organum or Ars Magna of Thinking'

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9 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

5021	An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]

2. Reason / D. Definition / 2. Aims of Definition

10528

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

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations

5020	Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

10527

An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]

18883

Any equivalence relation among similar things allows the creation of an abstractum [Simons]

18884

Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]

22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness

5019	Supreme human happiness is the greatest possible increase of his perfection [Leibniz]