Combining Texts

All the ideas for 'fragments/reports', 'From Metaphysics to Ethics' and 'Higher-Order Logic'

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41 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
Intuitions about possibilities are basic to conceptual analysis [Jackson]
Conceptual analysis studies whether one story is made true by another story [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 / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Some say that second-order logic is mathematics, not logic [Shapiro]
If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Second-order logic has the expressive power for mathematics, but an unworkable model theory [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]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
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]
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 / 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]
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]