Combining Philosophers

All the ideas for Agrippa, Tyler Burge and Thoralf Skolem

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25 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
1815 Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
1812 All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
1811 Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
1813 All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
13536 Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
13479 Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
8132 We now have a much more sophisticated understanding of logical form in language [Burge]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17622 We come to believe mathematical propositions via their grounding in the structure [Burge]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
16901 The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
9159 You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
16902 Peano arithmetic requires grasping 0 as a primitive number [Burge]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
16892 Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
8850 Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / C. External Justification / 1. External Justification
9382 Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
13. Knowledge Criteria / E. Relativism / 1. Relativism
1814 Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
8126 Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
8127 Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
16. Persons / C. Self-Awareness / 2. Knowing the Self
8129 Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
17. Mind and Body / C. Functionalism / 1. Functionalism
8131 Some qualities of experience, like blurred vision, have no function at all [Burge]
18. Thought / C. Content / 1. Content
3115 Are meaning and expressed concept the same thing? [Burge, by Segal]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
14349 If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]