Combining Texts

All the ideas for 'The Nature of Things', 'Intuitionism and Formalism' and 'The Idea of Equality'

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


15 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
A class is natural when everybody can spot further members of it [Quinton]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
7. Existence / E. Categories / 5. Category Anti-Realism
Extreme nominalists say all classification is arbitrary convention [Quinton]
8. Modes of Existence / B. Properties / 5. Natural Properties
The naturalness of a class depends as much on the observers as on the objects [Quinton]
Properties imply natural classes which can be picked out by everybody [Quinton]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated properties must be defined using the instantiated ones [Quinton]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
An individual is a union of a group of qualities and a position [Quinton, by Campbell,K]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Equality of opportunity without equality of respect would create a very inhuman society [Williams,B]
25. Social Practice / B. Equalities / 1. Grounds of equality
Equality implies that people are alike in potential as well as in needs [Williams,B]
Equality seems to require that each person be acknowledged as having a significant point of view [Williams,B]
25. Social Practice / B. Equalities / 4. Economic equality
It is a mark of extreme exploitation that the sufferers do not realise their plight [Williams,B]