Combining Philosophers

All the ideas for Archimedes, Earl Conee and Agrippa

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16 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
Evidentialism is not axiomatic; the evidence itself inclines us towards evidentialism [Conee]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
If pure guesses were reliable, reliabilists would have to endorse them [Conee]
More than actual reliability is needed, since I may mistakenly doubt what is reliable [Conee]
Reliabilism is poor on reflective judgements about hypothetical cases [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
People begin to doubt whether they 'know' when the answer becomes more significant [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]
Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]
That standards vary with context doesn't imply different truth-conditions for judgements [Conee]
Maybe there is only one context (the 'really and truly' one) for serious discussions of knowledge [Conee]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]