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INDEX adumbrations, 198-201, 202,204-5, 207-8 analytic philosophy, 1-2,12 arithmetic/number Frege on, 74,85 Hilbert on, 123 Husserl on, 1-2,31,39 n.47& n.49, 74,83,121,123-4,137, 141,146 n.6,149 n.28,153, 218-9 Kronecker on, 122-3 Poincare on, 139 Weyl on, 139-11,153-4,159,160 community, 5, 205,214-6,224 of mathematicians, 217-8,220, 223-4 of scientists, 219 consciousness, 176 acts of, 87, 200 constituting, 165,173-4 divine, 198, 200 flux of, 204 immanent, 176,178,181,183 manifold of, 162 mathematical, 200 natural,197 pure, 197-9,200,201 continuum, 109,158,198 ego empirical, 25 transcendental, 25 epistemology analytic philosophers on, 12 coherency, 21 consistency, 21 internalism vs externalism,53 justification, 12,44-5,55 meta-epistemology, 21 naturalism, 52-3 phenomenological, 50-1,53,57, 80 Riemann's principle, 163 essences, 26, 84 categories of, 29,158 exact, 161 Husserl on, 27-8,30,32,48-9,78, 227 INDEX 135-7,143-4,149 n.29,161, 196,201,209 intuition of, 19 morphological, 161 rejection of, 20,22,33 Weyl on, 157-8,164-5,175 evidence, 77,156,169 n.14 evolution, 25-6,116-7 existentialism, 5,182,184 experience, daily, 205 intersubjective, 207-8,214 objects of, 49,193,197-8 relativity of, 206 widening of, 49 foundationalism, 13,14-21,34 n.6 and science, 18-24, 33 Aristotle on, 13,15,17-8 Descartes on, 19-20,35 n.10,43 Heidegger on, 33-4 Hume on, 22-3 Husserl on, 18,26-8 Kant on, 24-6 Newton on, 20 Plato on, 14 geometry, 101 Becker on, 108-11,147n.21 Euclid on, 102,156,164 Hilbert on, 101,104-8,113-5,116, 124 Husserl on, 103,110,112-3, 115-6, Klein on, 102-4,106 Pasch on, 103-5 Poincare on, 111, 118n.6 Weyl on, 110-1,155,161-4,182, history, Husserl on,213 idealism, 32,34 n.3,131,134,138, 158,174,184,191 induction, 23 intentionality, 52, 74,93,130,173, 176 intuition base intuition, 157,160,170 n.43 categorial, 135-8,160, 215-6 data of, 201,204 intellectual, 195 of causality, 157,169 n. 23 of logical entities (see essences and logic) of number (see arithmetic/number) of space, 106-8,110,116-7,166, 176 (see also geometry) of universals, 17 natural, 110 judgment, 25, 79,86-9,96n.44 knowledge, 15,21,50,87, circularity in, 44-7 first principles of, 16-7,19-20,24 mathematician vs. philosopher, 80 regress in, 16,27 transcendental theory of,24 lifeworld, 189,193,197,203,209,210 logic, 32, 75,78-81,82,86-7, 89,91 Frege on, 84-8, 89-90 Husserl on, 75,78-81,122,137, 153,160 Weyl on, 139,153-4,156,160 228 [18.119.107.161] Project MUSE (2024-04-19 09:59 GMT) INDEX logical positivism, 25, 73,90,107,131, 174,184 manifolds 69,123-6,162-3 mathematics, 1,2,4, 26-7,31-2,80, 84-5,129,161,165,180,193, 219-20, 222 constructivism, 167 formalism, 130 intuitionism, 129-30,170n.32 predicativism, 4,133,138-9,149 n.34 realism, 130-1,141-5 structuralism, 131 measurement, 192-4 metaphysics, 70,155,174,183,192-3, 195,196, 216 Munchausen trilemma,16 naturalism, 42-3,47-8, 53-4,56-7,70 Husserl on, 42,44,47-50,52,545 ,70 Neurath on, 47,64 n.12 Quine on, 43-6,55,58,92 neo-Kantianism, 25-6, 29 ontology, 91,157-9 formal, 29,137,140 regional, 29-30,78 perception, 157,201 phenomenological reduction, 44,512 , 78,140,157-8,202, 210 phenomenology, 1,4,92,139-40,144, 146,154,161-2,165,173,175,182, 191 ambiguity in, 134 double task of, 81 Fregean reading of, 71-7,82 Godel and, 131-4,141-5,149 n.26 on concepts, 80 on modes of givenness, 77-S transcendental, 42-3,49, 50,57, 59,144-5,148 n.24 and n.25, 154, 200 Weyl and, 129-30,153,164 philosophical traditions, 72 physics, 192-4,210 psychologism, 26, 70, 72, 74-6, 79, 85, 93,174 psychology, 75-7, 91,116 quantum mechanics, 25,183,193-4, 196,209, 211 reality/realism, 200,202, 207 relativity, 1...

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