Combining Texts

All the ideas for 'Structure and Ontology', 'Theory of Knowledge (2nd ed 1977)' and 'Commentary on Euclid's 'Elements''

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4 ideas

11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
We have a basic epistemic duty to believe truth and avoid error [Chisholm, by Kvanvig]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
18. Thought / E. Abstraction / 1. Abstract Thought
The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro]