Combining Philosophers

All the ideas for Hesiod, Jim Baggott and Palle Yourgrau

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13 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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Planck introduced the idea that energy can be quantized [Baggott]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott]
A 'field' is a property with a magnitude, distributed across all of space and time [Baggott]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Free electrons have clouds of virtual particles, arising from field interaction [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Thermodynamics sees nature as a continuous flow of energy, as radiation and as substance [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / b. Standard model
The current standard model requires 61 particles [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Particle measurements don't seem to reflect their reality [Baggott]