Combining Philosophers

All the ideas for Archimedes, Anjan Chakravarrty and Paul Bernays

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

10 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304 Very few things in set theory remain valid in intuitionist mathematics [Bernays]
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 / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303 Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306 Mathematical abstraction just goes in a different direction from logic [Bernays]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
15148 Powers give explanations, without being necessary for some class membership [Chakravartty]
9. Objects / D. Essence of Objects / 5. Essence as Kind
15145 A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty]
9. Objects / D. Essence of Objects / 15. Against Essentialism
15147 Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
15144 Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
15146 Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
15151 Many causal laws do not refer to kinds, but only to properties [Chakravartty]