Combining Texts

All the ideas for 'The Philosophy of Logic', 'Fourfold Root of Princ of Sufficient Reason' and 'Externalist Theories of Empirical Knowledge'

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18 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
Sufficient Reason can't be proved, because all proof presupposes it [Schopenhauer, by Lewis,PB]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox
The Lottery Paradox says each ticket is likely to lose, so there probably won't be a winner [Bonjour, by PG]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
7. Existence / E. Categories / 1. Categories
No need for a priori categories, since sufficient reason shows the interrelations [Schopenhauer, by Lewis,PB]
10. Modality / A. Necessity / 3. Types of Necessity
Necessity is physical, logical, mathematical or moral [Schopenhauer, by Janaway]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
For Schopenhauer, material things would not exist without the mind [Schopenhauer, by Janaway]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Object for a subject and representation are the same thing [Schopenhauer]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Externalist theories of knowledge are one species of foundationalism [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
The big problem for foundationalism is to explain how basic beliefs are possible [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
The main argument for foundationalism is that all other theories involve a regress leading to scepticism [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Extreme externalism says no more justification is required than the truth of the belief [Bonjour]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
External reliability is not enough, if the internal state of the believer is known to be irrational [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Even if there is no obvious irrationality, it may be irrational to base knowledge entirely on external criteria [Bonjour]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
The four explanations: objects by causes, concepts by ground, maths by spacetime, ethics by motive [Schopenhauer, by Lewis,PB]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
Concepts are abstracted from perceptions [Schopenhauer, by Lewis,PB]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Motivation is causality seen from within [Schopenhauer]