PSYKENS TOPOLOGI - Niels Engelsted

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Redaktionsgruppen består af: Lars Hem (ansvarshavende redaktør), Mogens Agervold, Birgitte Diderichsen, Jens Mammen og Thomas Nielsen. Sekretariat: Ingrid Graversen, email: ingrid@psy.au.dk Psykologisk Skriftserie kan bestilles skriftligt eller pr. telefon (8942 4900). © Jens Mammen, Niels Engelsted, m.fl. UDGIVET PÅ PSYKOLOGISK INSTITUT AARHUS UNIVERSITET, ASYLVEJ 4, 8240 RISSKOV RISSKOV, 2000 Tryk: Institut for Statskundskab ii
INDHOLDSFORTEGNELSE Forord (Jens Mammen) ................................................................................. ix I Indledning (Studiebrev 1. Jens Mammen, 12.12.94) ............................ 1 Ia. Om studiebrevene ...................................................................... 1 Ib. Foreløbig emneliste .................................................................... 3 Ic. Litteratur .................................................................................... 4 II Om mængder og mængdealgebra (Studiebrev 2. Jens Mammen, 12.12.94) ............................................... 6 IIa. Hvad er en mængde? ................................................................. 6 Spørgsmål om Zermelos axiom (Niels Engelsted, 14.12.94) ...... 11 Svar til Niels Engelsted (Jens Mammen, 16.12.94) ..................... 12 Kommentar (Jan Riis Flor, 16.12.94) ......................................... 16 Diskussion om matematisk konstruktivisme m.m. (Tia Hansen og Jens Mammen, 19.12.94) ........................................................ 17 Kommentar om Gödel og Gentzen (Benny Karpatschof, 22.12.94) ...................................................................................... 23 Svar til Benny Karpatschof (Jens Kvorning, 22.12.94) ............... 24 IIb. Mængdealgebra (Studiebrev 3. Jens Mammen, 03.01.95) ......... 25 Spørgsmål angående udvalgsaxiomet (Preben Bertelsen, 05.01.95) ...................................................................................... 34 Svar til Preben Bertelsen (Jens Mammen, 06.01.95) ................... 36 Nye spørgsmål angående udvalgsaxiomet (Preben Bertelsen, 09.01.95) ...................................................................................... 39 Personlig introduktion (Benny Karpatschof, 09.01.95) ............... 40 Status vedrørende studiebrevene med svar til flere (Jens Mammen, 11.01.95) ............................................................ 42 IIc. Om mængders størrelse. Endelige og uendelige mængder (Studiebrev 4. Jens Mammen, 16.01.95) ..................................... 44 IIc.1. Endelige mængder ............................................................ 44 iii
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Litteraturliste Engelsted, N. (1998
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Litteraturliste Lübcke, P. (red.)
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Litteraturliste Tornehave, H. (1961
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Afstand: Afstanden mellem to elemen
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Diskret rum: Et topologisk rum, hvo
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Indre (eng. interior): (SB8) Indre
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Mængde (eng. set): Der henvises ti
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liste over anvendte symboler og teg
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Erik Schultz Niels Bohr Instituttet
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