Combining Texts

All the ideas for 'Mathematics and the Metaphysicians', '27: Book of Daniel' and 'Beyond internal Foundations to external Virtues'

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15 ideas

2. Reason / A. Nature of Reason / 6. Coherence
We can't attain a coherent system by lopping off any beliefs that won't fit [Sosa]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The phenomenal concept of an eleven-dot pattern does not include the concept of eleven [Sosa]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
It is acceptable to say a supermarket door 'knows' someone is approaching [Sosa]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
In reducing arithmetic to self-evident logic, logicism is in sympathy with rationalism [Sosa]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Most of our knowledge has insufficient sensory support [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Perception may involve thin indexical concepts, or thicker perceptual concepts [Sosa]
Do beliefs only become foundationally justified if we fully attend to features of our experience? [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Some features of a thought are known directly, but others must be inferred [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
Much propositional knowledge cannot be formulated, as in recognising a face [Sosa]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Fully comprehensive beliefs may not be knowledge [Sosa]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]