Combining Texts

All the ideas for 'Buddhacarita', 'What are Sets and What are they For?' and 'Human Freedom and the Self'

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19 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
14239 The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
14240 The empty set is something, not nothing! [Oliver/Smiley]
14241 We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
14242 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
14243 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
14234 If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
14237 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
14245 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
14246 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
14247 Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
7906 When the Buddha reached the highest level of insight, he could detect no self in the world [Ashvaghosha]
16. Persons / F. Free Will / 4. For Free Will
3444 If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
3446 For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm]
9268 If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm]
20. Action / C. Motives for Action / 4. Responsibility for Actions
3442 Responsibility seems to conflict with events being either caused or not caused [Chisholm]
3443 Desires may rule us, but are we responsible for our desires? [Chisholm]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
3445 Causation among objects relates either events or states [Chisholm]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7904 The first stage of trance is calm amidst applied and discursive thinking [Ashvaghosha]
7905 The Buddha sought ultimate reality and the final goal of existence in his meditations [Ashvaghosha]