Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Causation and Laws of Nature' and 'Epistemology: contemporary introduction'

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40 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
Analysis aims at secure necessary and sufficient conditions [Schaffer,J]
2. Reason / F. Fallacies / 1. Fallacy
'Reification' occurs if we mistake a concept for a thing [Schaffer,J]
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]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
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]
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]
10. Modality / A. Necessity / 7. Natural Necessity
Because 'gold is malleable' is necessary does not mean that it is analytic [Audi,R]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Only ideal conceivability could indicate what is possible [Schaffer,J]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Beliefs are based on perception, memory, introspection or reason [Audi,R]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
Could you have a single belief on its own? [Audi,R]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
We can make certain of what we know, so knowing does not entail certainty [Audi,R]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Sense-data theory is indirect realism, but phenomenalism is direct irrealism [Audi,R]
If you gradually remove a book's sensory properties, what is left at the end? [Audi,R]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Red and green being exclusive colours seems to be rationally graspable but not analytic [Audi,R]
The concepts needed for a priori thought may come from experience [Audi,R]
12. Knowledge Sources / B. Perception / 3. Representation
To see something as a field, I obviously need the concept of a field [Audi,R]
How could I see a field and believe nothing regarding it? [Audi,R]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data (and the rival 'adverbial' theory) are to explain illusions and hallucinations [Audi,R]
Sense data imply representative realism, possibly only representing primary qualities [Audi,R]
12. Knowledge Sources / B. Perception / 5. Interpretation
Perception is first simple, then objectual (with concepts) and then propositional [Audi,R]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Virtually all rationalists assert that we can have knowledge of synthetic a priori truths [Audi,R]
The principles of justification have to be a priori [Audi,R]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
To remember something is to know it [Audi,R]
I might remember someone I can't recall or image, by recognising them on meeting [Audi,R]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Justification is either unanchored (infinite or circular), or anchored (in knowledge or non-knowledge) [Audi,R]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Internalism about justification implies that there is a right to believe something [Audi,R]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Maths may be consistent with observations, but not coherent [Audi,R]
It is very hard to show how much coherence is needed for justification [Audi,R]
A consistent madman could have a very coherent belief system [Audi,R]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Consistent accurate prediction looks like knowledge without justified belief [Audi,R]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A reliability theory of knowledge seems to involve truth as correspondence [Audi,R]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
'Reliable' is a very imprecise term, and may even mean 'justified' [Audi,R]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
We can be ignorant about ourselves, for example, our desires and motives [Audi,R]