Combining Texts

All the ideas for 'A Priori Knowledge', 'Mathematics and the Metaphysicians' and 'On the Concept of Number'

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11 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox

7557	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

10059

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

7556	A collection is infinite if you can remove some terms without diminishing its number [Russell]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

10. Modality / A. Necessity / 11. Denial of Necessity

20475

Maybe modal sentences cannot be true or false [Casullo]

10. Modality / D. Knowledge of Modality / 1. A Priori Necessary

20476

If the necessary is a priori, so is the contingent, because the same evidence is involved [Casullo]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

20471

Epistemic a priori conditions concern either the source, defeasibility or strength [Casullo]

20477

The main claim of defenders of the a priori is that some justifications are non-experiential [Casullo]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

7554	Self-evidence is often a mere will-o'-the-wisp [Russell]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

20472

Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification [Casullo]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility

20474

'Overriding' defeaters rule it out, and 'undermining' defeaters weaken in [Casullo]