Combining Texts

All the ideas for 'The Guide of the Perplexed', 'Logicism in the 21st Century' and 'Process and Reality'

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12 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
European philosophy consists of a series of footnotes to Plato [Whitehead]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
7. Existence / B. Change in Existence / 2. Processes
In Whitehead 'processes' consist of events beginning and ending [Whitehead, by Simons]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
26. Natural Theory / C. Causation / 1. Causation
Whitehead held that perception was a necessary feature of all causation [Whitehead, by Harré/Madden]
27. Natural Reality / C. Space / 3. Points in Space
Whitehead replaced points with extended regions [Whitehead, by Quine]
28. God / A. Divine Nature / 2. Divine Nature
We can approach knowledge of God by negative attributes [Maimonides]
28. God / C. Attitudes to God / 4. God Reflects Humanity
Thinking of God as resembling humans results from a bad translation of Genesis 1:26 [Maimonides]