Combining Philosophers

All the ideas for Charles Parsons, Protagoras and Neil E. Williams

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48 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Reductive analysis makes a concept clearer, by giving an alternative simpler set [Williams,NE]
2. Reason / E. Argument / 1. Argument
Promoting an ontology by its implied good metaphysic is an 'argument-by-display' [Williams,NE]
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 / 2. Geometry
No perceptible object is truly straight or curved [Protagoras]
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 / B. Change in Existence / 1. Nature of Change
Change exists, it is causal, and it needs an explanation [Williams,NE]
7. Existence / B. Change in Existence / 2. Processes
Processes don't begin or end; they just change direction unexpectedly [Williams,NE]
Processes are either strings of short unchanging states, or continuous and unreducible events [Williams,NE]
7. Existence / D. Theories of Reality / 1. Ontologies
The status quo is part of what exists, and so needs metaphysical explanation [Williams,NE]
A metaphysic is a set of wider explanations derived from a basic ontology [Williams,NE]
Humeans say properties are passive, possibility is vast, laws are descriptions, causation is weak [Williams,NE]
We shouldn't posit the existence of anything we have a word for [Williams,NE]
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]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers are 'multi-track' if they can produce a variety of manifestations [Williams,NE]
Every possible state of affairs is written into its originating powers [Williams,NE]
Naming powers is unwise, because that it usually done by a single manifestation [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Fundamental physics describes everything in terms of powers [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Rather than pure powers or pure categoricals, I favour basics which are both at once [Williams,NE]
Powers are more complicated than properties which are always on display [Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
There are basic powers, which underlie dispositions, potentialities, capacities etc [Williams,NE]
Dispositions are just useful descriptions, which are explained by underlying powers [Williams,NE]
9. Objects / A. Existence of Objects / 1. Physical Objects
If objects are property bundles, the properties need combining powers [Williams,NE]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Four-Dimensional is Perdurantism (temporal parts), plus Eternalism [Williams,NE]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Everything that exists consists in being perceived [Protagoras]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Protagoras was the first to claim that there are two contradictory arguments about everything [Protagoras, by Diog. Laertius]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Man is the measure of all things - of things that are, and of things that are not [Protagoras]
There is no more purely metaphysical doctrine than Protagorean relativism [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
If my hot wind is your cold wind, then wind is neither hot nor cold, and so not as cold as itself [Benardete,JA on Protagoras]
You can only state the problem of the relative warmth of an object by agreeing on the underlying object [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
God is "the measure of all things", more than any man [Plato on Protagoras]
Protagoras absurdly thought that the knowing or perceiving man is 'the measure of all things' [Aristotle on Protagoras]
Relativists think if you poke your eye and see double, there must be two things [Aristotle on Protagoras]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Early sophists thought convention improved nature; later they said nature was diminished by it [Protagoras, by Miller,FD]
23. Ethics / B. Contract Ethics / 1. Contractarianism
For Protagoras the only bad behaviour is that which interferes with social harmony [Protagoras, by Roochnik]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Protagoras contradicts himself by saying virtue is teachable, but then that it is not knowledge [Plato on Protagoras]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Protagoras seems to have made the huge move of separating punishment from revenge [Protagoras, by Vlastos]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Successful education must go deep into the soul [Protagoras]
25. Social Practice / E. Policies / 5. Education / b. Education principles
He spent public money on education, as it benefits the individual and the state [Protagoras, by Diodorus of Sicily]
26. Natural Theory / C. Causation / 1. Causation
Causation needs to explain stasis, as well as change [Williams,NE]
Causation is the exercise of powers [Williams,NE]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
If causes and effects overlap, that makes changes impossible [Williams,NE]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Powers contain lawlike features, pointing to possible future states [Williams,NE]
28. God / C. Attitudes to God / 5. Atheism
He said he didn't know whether there are gods - but this is the same as atheism [Diogenes of Oen. on Protagoras]