Combining Texts

All the ideas for 'works', 'Fallibilism' and 'Precis of 'Limits of Abstraction''

expand these ideas     |    start again     |     specify just one area for these texts

8 ideas

2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
10529 If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
10530 Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
19701 Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty]
19700 It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty]
19702 We can't normally say that we know something 'but it might be false' [Dougherty]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]