Combining Philosophers

All the ideas for Oswald Veblen, Palle Yourgrau and Ullin T. Place

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8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
10247 We have no adequate logic at the moment, so mathematicians must create one [Veblen]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 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
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
18088 Intentionality is the mark of dispositions, not of the mental [Place]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
18089 Dispositions are not general laws, but laws of the natures of individual entities [Place]