Combining Texts

All the ideas for 'fragments/reports', 'Prologue to Ordinatio' and 'Intuitionism and Formalism'

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


8 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Our intellect only assents to what we believe to be true [William of Ockham]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractive cognition knows universals abstracted from many singulars [William of Ockham]
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]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]