Combining Philosophers

All the ideas for Anon (Dan), ������������������������������������������������������������������������ystein Linnebo and Isaac Beeckman

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26 ideas

2. Reason / D. Definition / 12. Paraphrase
10633 'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
10779 A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10781 A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]
10638 A pure logic is wholly general, purely formal, and directly known [Linnebo]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
10783 Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
10778 Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
10635 Second-order quantification and plural quantification are different [Linnebo]
10640 Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
10641 Traditionally we eliminate plurals by quantifying over sets [Linnebo]
10636 Plural plurals are unnatural and need a first-level ontology [Linnebo]
10639 Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
14085 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo]
14086 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo]
14084 Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
14087 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
14089 Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
14083 Structuralism is right about algebra, but wrong about sets [Linnebo]
14090 In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
14091 There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo]
7. Existence / D. Theories of Reality / 10. Ontological Commitment / a. Ontological commitment
10643 We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo]
7. Existence / D. Theories of Reality / 10. Ontological Commitment / e. Ontological commitment problems
10637 Ordinary speakers posit objects without concern for ontology [Linnebo]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
14088 An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo]
9. Objects / A. Existence of Objects / 1. Physical Objects
10782 The modern concept of an object is rooted in quantificational logic [Linnebo]
19. Language / C. Assigning Meanings / 3. Predicates
10634 Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
16707 Cold and hot are the swiftness and slowness of corpuscular motion [Beeckman]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
7482 Resurrection developed in Judaism as a response to martyrdoms, in about 160 BCE [Anon (Dan), by Watson]