Combining Texts

All the ideas for 'The Tenseless Theory of Time', 'Cardinality, Counting and Equinumerosity' and 'Epistemic Norms'

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27 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics should avoid talk of past, present or future [Smart]
3. Truth / A. Truth Problems / 1. Truth
Rules of reasoning precede the concept of truth, and they are what characterize it [Pollock]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
We need the concept of truth for defeasible reasoning [Pollock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
Is counting basically mindless, and independent of the cardinality involved? [Heck]
Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Equinumerosity is not the same concept as one-one correspondence [Heck]
We can understand cardinality without the idea of one-one correspondence [Heck]
10. Modality / A. Necessity / 2. Nature of Necessity
Statements about necessities need not be necessarily true [Pollock]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
Defeasible reasoning requires us to be able to think about our thoughts [Pollock]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
What we want to know is - when is it all right to believe something? [Pollock]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
Logical entailments are not always reasons for beliefs, because they may be irrelevant [Pollock]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Epistemic norms are internalised procedural rules for reasoning [Pollock]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Reasons are always for beliefs, but a perceptual state is a reason without itself being a belief [Pollock]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
If we have to appeal explicitly to epistemic norms, that will produce an infinite regress [Pollock]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Norm Externalism says norms must be internal, but their selection is partly external [Pollock]
Externalists tend to take a third-person point of view of epistemology [Pollock]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Belief externalism is false, because external considerations cannot be internalized for actual use [Pollock]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
Special relativity won't determine a preferred frame, but we can pick one externally [Smart]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
If time flows, then 'how fast does it flow?' is a tricky question [Smart]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
The past, present, future and tenses of A-theory are too weird, and should be analysed indexically [Smart]