Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Daniel Dennett on himself' and 'Foundations of Geometry'

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11 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett]
18. Thought / C. Content / 9. Conceptual Role Semantics
The nature of content is entirely based on its functional role [Dennett]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learning is evolution in the brain [Dennett]
27. Natural Reality / G. Biology / 1. Biology
Biology is a type of engineering, not a search for laws of nature [Dennett]