Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Structure of Empirical Knowledge' and 'Attitudes De Dicto and De Se'

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16 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
The actual world is just the world you are in [Lewis, by Cappelen/Dever]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
A content is a property, and believing it is self-ascribing that property [Lewis, by Recanati]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
A coherence theory of justification can combine with a correspondence theory of truth [Bonjour]
There will always be a vast number of equally coherent but rival systems [Bonjour]
Empirical coherence must attribute reliability to spontaneous experience [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
A well written novel cannot possibly match a real belief system for coherence [Bonjour]
The objection that a negated system is equally coherent assume that coherence is consistency [Bonjour]
A coherent system can be justified with initial beliefs lacking all credibility [Bonjour]
The best explanation of coherent observations is they are caused by and correspond to reality [Bonjour]
14. Science / A. Basis of Science / 5. Anomalies
Anomalies challenge the claim that the basic explanations are actually basic [Bonjour]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Attitudes involve properties (not propositions), and belief is self-ascribing the properties [Lewis, by Solomon]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Lewis's popular centred worlds approach gives an attitude an index of world, subject and time [Lewis, by Recanati]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A theory of perspectival de se content gives truth conditions relative to an agent [Lewis, by Cappelen/Dever]