Combining Philosophers

All the ideas for Charles Parsons, Stephen R. Grimm and Jim Baggott

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18 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Unlike knowledge, you can achieve understanding through luck [Grimm]
'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm]
You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm]
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]