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All the ideas for 'fragments/reports', 'Principia Mathematica' and 'From Metaphysics to Ethics'

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55 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Serious metaphysics cares about entailment between sentences [Jackson]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Conceptual analysis studies whether one story is made true by another story [Jackson]
Intuitions about possibilities are basic to conceptual analysis [Jackson]
Conceptual analysis is needed to establish that metaphysical reductions respect original meanings [Jackson, by Schroeter]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Something can only have a place in a preferred account of things if it is entailed by the account [Jackson]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
Truth supervenes on being [Jackson]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Lewis's 'strict implication' preserved Russell's confusion of 'if...then' with implication [Quine on Russell/Whitehead]
Russell's implication means that random sentences imply one another [Lewis,CI on Russell/Whitehead]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Russell unusually saw logic as 'interpreted' (though very general, and neutral) [Russell/Whitehead, by Linsky,B]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
In 'Principia' a new abstract theory of relations appeared, and was applied [Russell/Whitehead, by Gödel]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell and Whitehead took arithmetic to be higher-order logic [Russell/Whitehead, by Hodes]
Russell and Whitehead were not realists, but embraced nearly all of maths in logic [Russell/Whitehead, by Friend]
'Principia' lacks a precise statement of the syntax [Gödel on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The ramified theory of types used propositional functions, and covered bound variables [Russell/Whitehead, by George/Velleman]
The Russell/Whitehead type theory was limited, and was not really logic [Friend on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
In 'Principia Mathematica', logic is exceeded in the axioms of infinity and reducibility, and in the domains [Bernays on Russell/Whitehead]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Russell and Whitehead consider the paradoxes to indicate that we create mathematical reality [Russell/Whitehead, by Friend]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
To avoid vicious circularity Russell produced ramified type theory, but Ramsey simplified it [Russell/Whitehead, by Shapiro]
7. Existence / C. Structure of Existence / 2. Reduction
Smooth reductions preserve high-level laws in the lower level [Jackson]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Baldness is just hair distribution, but the former is indeterminate, unlike the latter [Jackson]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Redness is a property, but only as a presentation to normal humans [Jackson]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
An object is identical with itself, and no different indiscernible object can share that [Russell/Whitehead, by Adams,RM]
10. Modality / A. Necessity / 3. Types of Necessity
We should not multiply senses of necessity beyond necessity [Jackson]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Mathematical sentences are a problem in a possible-worlds framework [Jackson]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds could be concrete, abstract, universals, sentences, or properties [Jackson]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Long arithmetic calculations show the a priori can be fallible [Jackson]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
We examine objects to determine colour; we do not introspect [Jackson]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Russell showed, through the paradoxes, that our basic logical intuitions are self-contradictory [Russell/Whitehead, by Gödel]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
In physicalism, the psychological depends on the physical, not the other way around [Jackson]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Is the dependence of the psychological on the physical a priori or a posteriori? [Jackson]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If different states can fulfil the same role, the converse must also be possible [Jackson]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology covers input, internal role, and output [Jackson]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
The multiple relations theory says assertions about propositions are about their ingredients [Russell/Whitehead, by Linsky,B]
A judgement is a complex entity, of mind and various objects [Russell/Whitehead]
The meaning of 'Socrates is human' is completed by a judgement [Russell/Whitehead]
The multiple relation theory of judgement couldn't explain the unity of sentences [Morris,M on Russell/Whitehead]
Only the act of judging completes the meaning of a statement [Russell/Whitehead]
18. Thought / C. Content / 1. Content
Egocentric or de se content seems to be irreducibly so [Jackson]
18. Thought / C. Content / 5. Twin Earth
Keep distinct the essential properties of water, and application conditions for the word 'water' [Jackson]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Analysis is finding necessary and sufficient conditions by studying possible cases [Jackson]
19. Language / C. Assigning Meanings / 3. Predicates
Successful predication supervenes on nature [Jackson]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
I can understand "He has a beard", without identifying 'he', and hence the truth conditions [Jackson]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions as objects of judgement don't exist, because we judge several objects, not one [Russell/Whitehead]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
Folk morality does not clearly distinguish between doing and allowing [Jackson]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Moral functionalism says moral terms get their meaning from their role in folk morality [Jackson]
Which are prior - thin concepts like right, good, ought; or thick concepts like kindness, equity etc.? [Jackson]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
25. Social Practice / F. Life Issues / 3. Abortion
It is hard to justify the huge difference in our judgements of abortion and infanticide [Jackson]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]