Combining Texts

All the ideas for 'works', 'Elements of Set Theory' and 'Individuals:Essay in Descript Metaphysics'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Descriptive metaphysics aims at actual structure, revisionary metaphysics at a better structure [Strawson,P]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Descriptive metaphysics concerns unchanging core concepts and categories [Strawson,P]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Close examination of actual word usage is the only sure way in philosophy [Strawson,P]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton]
The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton]
A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton]
The empty set may look pointless, but many sets can be constructed from it [Enderton]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The singleton is defined using the pairing axiom (as {x,x}) [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
We can only define functions if Choice tells us which items are involved [Enderton]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
I can only apply consciousness predicates to myself if I can apply them to others [Strawson,P]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
A person is an entity to which we can ascribe predicates of consciousness and corporeality [Strawson,P]
19. Language / C. Assigning Meanings / 3. Predicates
The idea of a predicate matches a range of things to which it can be applied [Strawson,P]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]