Combining Texts

All the ideas for 'The Guide of the Perplexed', 'Knowledge and the Philosophy of Number' and 'Morality and the emotions'

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15 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Reference to a person's emotions is often essential to understanding their actions [Williams,B]
18. Thought / A. Modes of Thought / 3. Emotions / g. Controlling emotions
Moral education must involve learning about various types of feeling towards things [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Emotivism saw morality as expressing emotions, and influencing others' emotions [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
An admirable human being should have certain kinds of emotional responses [Williams,B]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
Kant's love of consistency is too rigid, and it even overrides normal fairness [Williams,B]
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]