Combining Philosophers

All the ideas for Brad W. Hooker, R Kaplan / E Kaplan and Daniel M. Mittag

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16 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
We could know the evidence for our belief without knowing why it is such evidence [Mittag]
Evidentialism can't explain that we accept knowledge claims if the evidence is forgotten [Mittag]
Evidentialism concerns the evidence for the proposition, not for someone to believe it [Mittag]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Coherence theories struggle with the role of experience [Mittag]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Prescriptivism says 'ought' without commitment to act is insincere, or weakly used [Hooker,B]
23. Ethics / B. Contract Ethics / 2. Golden Rule
Universal moral judgements imply the Golden Rule ('do as you would be done by') [Hooker,B]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
Modern utilitarians value knowledge, friendship, autonomy, and achievement, as well as pleasure [Hooker,B]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Rule-utilitarians prevent things like torture, even on rare occasions when it seems best [Hooker,B]
25. Social Practice / F. Life Issues / 2. Euthanasia
Euthanasia is active or passive, and voluntary, non-voluntary or involuntary [Hooker,B]
Euthanasia may not involve killing, so it is 'killing or not saving, out of concern for that person' [Hooker,B]