Combining Texts

All the ideas for 'Works of Love', 'From Metaphysics to Ethics' and 'The Nature of Mathematical Knowledge'

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60 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 / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
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 / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
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]
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
We examine objects to determine colour; we do not introspect [Jackson]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
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]
22. Metaethics / B. Value / 2. Values / g. Love
Perfect love is not in spite of imperfections; the imperfections must be loved as well [Kierkegaard]
25. Social Practice / F. Life Issues / 3. Abortion
It is hard to justify the huge difference in our judgements of abortion and infanticide [Jackson]