Combining Philosophers

All the ideas for Brad W. Hooker, Charles Darwin and Oliver,A/Smiley,T

expand these ideas     |    start again     |     specify just one area for these philosophers

17 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]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
16861 A false theory could hardly rival the explanatory power of natural selection [Darwin]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2854 Prescriptivism says 'ought' without commitment to act is insincere, or weakly used [Hooker,B]
23. Ethics / B. Contract Ethics / 2. Golden Rule
2856 Universal moral judgements imply the Golden Rule ('do as you would be done by') [Hooker,B]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
20883 Modern utilitarians value knowledge, friendship, autonomy, and achievement, as well as pleasure [Hooker,B]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
20884 Rule-utilitarians prevent things like torture, even on rare occasions when it seems best [Hooker,B]
25. Social Practice / F. Life Issues / 2. Euthanasia
20885 Euthanasia is active or passive, and voluntary, non-voluntary or involuntary [Hooker,B]
20882 Euthanasia may not involve killing, so it is 'killing or not saving, out of concern for that person' [Hooker,B]