Combining Texts

All the ideas for 'Good and Evil', 'What are Sets and What are they For?' and 'Jerry A. Fodor on himself'

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18 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Associations are held to connect Ideas together in the way the world is connected together [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentional science needs objects with semantic and causal properties, and which obey laws [Fodor]
Intentional states and processes may be causal relations among mental symbols [Fodor]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Most psychological properties seem to be multiply realisable [Fodor]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology explains behaviour by reference to intentional states like belief and desire [Fodor]
18. Thought / C. Content / 6. Broad Content
How could the extrinsic properties of thoughts supervene on their intrinsic properties? [Fodor]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Laws are true generalisations which support counterfactuals and are confirmed by instances [Fodor]