Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Palle Yourgrau and Hugh LaFollette

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12 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
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
We can discuss the criteria of a judgment, or the weight given to them, or their application [LaFollette]
Errors in moral practice might be inconsistent or inappropriate principles, or inappropriate 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
Should people be forced to make choices? [LaFollette]
Too many options may open us to unwanted pressures, like being paid very little [LaFollette]