Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'Causation and Laws of Nature' and 'Vagueness and Contradiction'

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29 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
Analysis aims at secure necessary and sufficient conditions [Schaffer,J]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
The paradox of analysis says that any conceptual analysis must be either trivial or false [Sorensen]
2. Reason / B. Laws of Thought / 1. Laws of Thought
Two long understandable sentences can have an unintelligible conjunction [Sorensen]
2. Reason / F. Fallacies / 1. Fallacy
'Reification' occurs if we mistake a concept for a thing [Schaffer,J]
3. Truth / B. Truthmakers / 6. Making Negative Truths
If nothing exists, no truthmakers could make 'Nothing exists' true [Sorensen]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Which toothbrush is the truthmaker for 'buy one, get one free'? [Sorensen]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
No attempt to deny bivalence has ever been accepted [Sorensen]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
We now see that generalizations use variables rather than abstract entities [Sorensen]
5. Theory of Logic / L. Paradox / 3. Antinomies
Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Banning self-reference would outlaw 'This very sentence is in English' [Sorensen]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
7. Existence / C. Structure of Existence / 2. Reduction
Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vague words have hidden boundaries [Sorensen]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are the same as events [Schaffer,J]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Individuation aims to count entities, by saying when there is one [Schaffer,J]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
An offer of 'free coffee or juice' could slowly shift from exclusive 'or' to inclusive 'or' [Sorensen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Only ideal conceivability could indicate what is possible [Schaffer,J]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
It is propositional attitudes which can be a priori, not the propositions themselves [Sorensen]
Attributing apriority to a proposition is attributing a cognitive ability to someone [Sorensen]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
The colour bands of the spectrum arise from our biology; they do not exist in the physics [Sorensen]
12. Knowledge Sources / B. Perception / 5. Interpretation
We are unable to perceive a nose (on the back of a mask) as concave [Sorensen]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Bayesians build near-certainty from lots of reasonably probable beliefs [Sorensen]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Illusions are not a reason for skepticism, but a source of interesting scientific information [Sorensen]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
The negation of a meaningful sentence must itself be meaningful [Sorensen]
19. Language / D. Propositions / 4. Mental Propositions
Propositions are what settle problems of ambiguity in sentences [Sorensen]
25. Social Practice / A. Freedoms / 4. Free market
I can buy any litre of water, but not every litre of water [Sorensen]
28. God / A. Divine Nature / 4. Divine Contradictions
God cannot experience unwanted pain, so God cannot understand human beings [Sorensen]