Combining Philosophers

All the ideas for R Kaplan / E Kaplan, Simon Blackburn and Terence Horgan

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22 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]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Don't just observe supervenience - explain it! [Horgan,T]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism needs more than global supervenience on the physical [Horgan,T]
Materialism requires that physics be causally complete [Horgan,T]
10. Modality / A. Necessity / 11. Denial of Necessity
Asserting a necessity just expresses our inability to imagine it is false [Blackburn]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
If we are told the source of necessity, this seems to be a regress if the source is not already necessary [Blackburn]
If something underlies a necessity, is that underlying thing necessary or contingent? [Blackburn, by Hale/Hoffmann,A]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Visual sense data are an inner picture show which represents the world [Blackburn]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
A true belief might be based on a generally reliable process that failed on this occasion [Blackburn]
14. Science / B. Scientific Theories / 3. Instrumentalism
Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Akrasia is intelligible in hindsight, when we revisit our previous emotions [Blackburn]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Some philosophers always want more from morality; for others, nature is enough [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn]