Combining Texts

All the ideas for 'fragments/reports', 'The Structure of Empirical Knowledge' and 'Structuralism and the Notion of Dependence'

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19 ideas

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]
14084 Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo]
14086 'Modal' structuralism studies all possible concrete models for various mathematical theories [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]
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]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
21506 A coherence theory of justification can combine with a correspondence theory of truth [Bonjour]
21509 There will always be a vast number of equally coherent but rival systems [Bonjour]
21503 Empirical coherence must attribute reliability to spontaneous experience [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
21510 The objection that a negated system is equally coherent assume that coherence is consistency [Bonjour]
21511 A well written novel cannot possibly match a real belief system for coherence [Bonjour]
21505 A coherent system can be justified with initial beliefs lacking all credibility [Bonjour]
21504 The best explanation of coherent observations is they are caused by and correspond to reality [Bonjour]
14. Science / A. Basis of Science / 5. Anomalies
21508 Anomalies challenge the claim that the basic explanations are actually basic [Bonjour]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]