Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, R Kaplan / E Kaplan and Hugh LaFollette

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13 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]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
20. Action / C. Motives for Action / 5. Action Dilemmas / a. Dilemmas
Errors in moral practice might be inconsistent or inappropriate principles, or inappropriate application [LaFollette]
We can discuss the criteria of a judgment, or the weight given to them, or their application [LaFollette]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
The act/omission distinction is important for duties, but less so for consequences [LaFollette]
23. Ethics / D. Deontological Ethics / 2. Duty
Are we only obligated by agreement, or should we always help the weak? [LaFollette]
25. Social Practice / C. Rights / 2. Moral rights
Too many options may open us to unwanted pressures, like being paid very little [LaFollette]
Should people be forced to make choices? [LaFollette]