Combining Philosophers

All the ideas for Charles Parsons, Peter B. Lewis and Keith T. Maslin

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20 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 / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Shadows are supervenient on their objects, but not reducible [Maslin]
7. Existence / D. Theories of Reality / 1. Ontologies
'Ontology' means 'study of things which exist' [Maslin]
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 / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Fichte, Schelling and Hegel rejected transcendental idealism [Lewis,PB]
Fichte, Hegel and Schelling developed versions of Absolute Idealism [Lewis,PB]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin]
16. Persons / B. Nature of the Self / 7. Self and Body / b. Self as brain
If we are brains then we never meet each other [Maslin]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
I'm not the final authority on my understanding of maths [Maslin]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Denial of purely mental causation will lead to epiphenomenalism [Maslin]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Token-identity removes the explanatory role of the physical [Maslin]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Causality may require that a law is being followed [Maslin]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Strict laws make causation logically necessary [Maslin]
Strict laws allow no exceptions and are part of a closed system [Maslin]