Combining Texts

All the ideas for 'The Case for Closure', 'Quodlibeta' and 'Lecture on Applicability of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

9 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
8732 It is spooky the way mathematics anticipates physics [Weinberg]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16641 Whiteness does not exist, but by it something can exist-as-white [Aquinas]
11. Knowledge Aims / A. Knowledge / 2. Understanding
22170 Senses grasp external properties, but the understanding grasps the essential natures of things [Aquinas]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
19553 Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
22169 Initial universal truths are present within us as potential, to be drawn out by reason [Aquinas]
12. Knowledge Sources / B. Perception / 3. Representation
22168 Minds take in a likeness of things, which activates an awaiting potential [Aquinas]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
19551 How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
19552 We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
19554 Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]