株式会社極東書店トップ ＞ 商品一覧 ＞ Where is the Goedel-point hiding : Gentzen's Consistency Proof of 1936 and His Representation of Constructive Ordinals.
商品詳細
Where is the Goedel-point hiding : Gentzen's Consistency Proof of 1936 and His Representation of Constructive Ordinals.
・ISBN 978-3-319-02170-6 paper EUR 64.99
￥17,371.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Horska, Anna, |
|---|---|
| シリーズ | SpringerBriefs in Philosophy |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2013 |
| ページ数 | 77 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-18868＞ |
解説
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.?