Combining Texts

All the ideas for 'Why coherence is not enough', 'Nature Without Essence' and 'Remarks on axiomatised set theory'

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18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
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 / 6. Compactness
17867 If a concept is not compact, it will not be presentable to finite minds [Almog]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
17877 The number series is primitive, not the result of some set theoretic axioms [Almog]
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 / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / D. Essence of Objects / 4. Essence as Definition
17871 Fregean meanings are analogous to conceptual essence, defining a kind [Almog]
17866 Essential definition aims at existence conditions and structural truths [Almog]
17868 Surface accounts aren't exhaustive as they always allow unintended twin cases [Almog]
17872 Definitionalists rely on snapshot-concepts, instead of on the real processes [Almog]
9. Objects / D. Essence of Objects / 10. Essence as Species
17870 Alien 'tigers' can't be tigers if they are not related to our tigers [Almog]
9. Objects / D. Essence of Objects / 13. Nominal Essence
17869 Kripke and Putnam offer an intermediary between real and nominal essences [Almog]
9. Objects / D. Essence of Objects / 15. Against Essentialism
17876 Individual essences are just cobbled together classificatory predicates [Almog]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
8840 There are five possible responses to the problem of infinite regress in justification [Cleve]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
8841 Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
18. Thought / C. Content / 5. Twin Earth
17873 Water must be related to water, just as tigers must be related to tigers [Almog]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
17864 Defining an essence comes no where near giving a thing's nature [Almog]
17863 Essences promise to reveal reality, but actually drive us away from it [Almog]