The Philosophy of Mathematics Today

By Matthias Schirn | Go to book overview

INDEX
absolute, see necessity
abstract (entities; abstracta), see objects; ontology
abstraction 22, 24, 341, 395, 397-8, 404
adjustive 489-91, 493
conceptual 27, 504-6, 513
extensional 504, 513, 595, 626
Frege 486-7, 500
logical 24-5
objectual 27, 504, 534
principle (of) 19-20, 25, 27-9, 376-7, 504, 506-12, 514-15, 521, 523-4, 528, 540, 542, 552, 556-7, 560, 563, 596, 603, 626-7
transcriptive 489
Ackermann, W.250, 272
Aczel, P.220n.
Ajdukiewicz, K.486-7
alienated, see epistemology
Alston, W.207
analysis 24, 29, 503-4, 538, 542, 604; see also formal
analytic truths 163
analyticity 369-70, 374
Angelelli, I.229n.
Anschauung (intellektuelle), see intuition
Anselm 93n., 319n.
arbitrary, see objects
argument, see compactness; Continuum; diagonal; epistemological; indispensibility; inductive; ontological
Aristotle139
arithmetic 17-18, 24, 39-40, 46-8, 51-2, 54, 57, 59-60, 73-4, 503-4, 530, 532, 542, 604; see also formalized; Frege; second- order
artefact 139-40
atoms 178, 180; see also nominalistic sum
Augustine319n.
Austin, J. L.41, 410n., 411, 412n., 413n.
axiom, see cardinal; choice; constructibility; Dedekind; infinity; ordered pair
Axiom V19, 457; see also Law V
Ayer, A. J.42-3, 45
Bach, C.158n.
bad company 343, 396, 398
Balaguer, M.5n., 6n., 227n.
Barcan Marcus, R.42
Barwise, J.163n.
Bauer-Mengelberg, S.271n.
Bedeutung 372-3, 375, 384-6; see also reference
Belnap, N.131n.
Beman, W. W.430n.
Benacerraf, P.2-8, 22n., 35n., 50n., 51n., 54n., 59, 69, 78-80, 183n., 191n., 195n., 196, 199-200, 239n., 262n., 492
Benthem, J. van267 n.
Bernays, P.12-13, 15-16, 249-51, 252n., 253, 255, 257, 260-4, 267, 272-3, 277n., 278-80, 287n., 288
Berzelius, J. J.184
Bessel, F. W.312-13
bivalence 392
Black, M.18n., 35
Boethius, A. M. S.315n.
Bolyai, J.311n., 312
Bolzano, B.132, 144n., 147
Boole, G.132
Boolos, G.17-19, 21, 49, 49n., 53, 56, 221n., 386, 430n., 435n., 448n., 459n., 460n., 487, 503n., 508, 538, 572, 581
Brandom, R.140
Brouwer, L. E. J.12, 204, 307, 309-11, 314-20, 321n., 322, 329-33
Bublak, R.1n., 271n.
Burali-Forti's paradox, see paradox
Burge, T.175, 187
Burgess, J. P.10-11, 17n., 54n., 80n., 81n., 131, 138n., 215n., 222-3, 489
Butterfield, J.91n., 253n.
Caesar problem, see Julius
Cantor, G.70-2, 160, 191, 217, 287n., 293n., 422n., 429, 447-9, 453-4, 473, 494
see also paradox
cardinal equivalence 372, 386-7
cardinal number(s) (cardinals) 19, 21, 27-8, 375, 494-7
(strongly) inaccessible 470
φ-indescribable 480
totally indescribable 480
measurable cardinals, axiom of (MC) 182-3, 186-7, 193
see also finite
cardinality operator 389, 392, 401
Carnap, R.11, 37-8, 163n., 197-200, 204, 206, 208, 210, 239, 488
Carroll, L.255
Carson, E.460n:

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