Combining Texts

All the ideas for 'works', 'On Carnap's Views on Ontology' and 'Elements of Intuitionism'

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

7 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
22153 Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
15938 Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
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 / 10. Constructivism / a. Constructivism
15939 For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
19485 Names have no ontological commitment, because we can deny that they name anything [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
19486 We can use quantification for commitment to unnameable things like the real numbers [Quine]
19. Language / E. Analyticity / 3. Analytic and Synthetic
19487 Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine]