Combining Texts

All the ideas for 'Apprehension: reason in absence of Rules', 'Intuitionism and Formalism' and 'Intro to Oxford Hndbk of Metaphysics'

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Modern empirical metaphysics focuses on ontological commitments of discourse, or on presuppositions [Loux/Zimmerman]
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]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]
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]