Where is the Gödel-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Constructive Ordinals
Horská, Anna
Produktnummer:
18628603602fb84edd922d26b9c117e685
| Autor: | Horská, Anna |
|---|---|
| Themengebiete: | Algorithm for translating Gentzen's notation of ordinal numbers Gentzen's notation and standard notation of ordinal numbers Gentzen's original numbering Gerhard Gentzen Hilbert's program Non-standard representation of ordinal numbers up to e_0 Ordinal numbers up to e_0 Peano Arithmetic Transfinite induction up to e_0 |
| Veröffentlichungsdatum: | 06.11.2013 |
| EAN: | 9783319021706 |
| Sprache: | Englisch |
| Seitenzahl: | 77 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Where is the Gödel-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Constructive Ordinals"
This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. This representation is analysed and connection to set-theoretical representation is found, namely an algorithm for translating Gentzen's notation into Cantor normal form. The topic should interest researchers and students who work on proof theory, history of proof theory or Hilbert's program and who do not mind reading mathematical texts.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen