Combining Texts

All the ideas for 'Folk Psychology', 'What are Sets and What are they For?' and 'works'

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15 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
Sufficient reason is implied by contradiction, of an insufficient possible which exists [Wolff, by Korsgaard]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is something, not nothing! [Oliver/Smiley]
The empty set is usually derived from Separation, but it also seems to need Infinity [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]
18. Thought / A. Modes of Thought / 4. Folk Psychology
If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM]
Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM]
Many mental phenomena are totally unexplained by folk psychology [Churchland,PM]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Confucius shows that ethics can rest on reason, rather than on revelation [Wolff, by Korsgaard]