دانلود کتاب Where is the Gödel-point hiding : Gentzen's consistency proof of 1936 and his representation of constructive ordinals

Name: Where is the Gödel-point hiding : Gentzen's consistency proof of 1936 and his representation of constructive ordinals
Availability: InStock
Author: Horská
ISBN: 9783319021706,9783319021713,3319021702,331

by Horská, Anna

عنوان فارسی: پنهان کردن نقطه گودل کجاست: اثبات سازگاری Gentzen از سال 1936 و نمایندگی او از عبارات سازنده
ناشر: Springer
سال: 2014
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 77-81
شابک: 9783319021706,9783319021713,3319021702,331
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 3.23 مگابایت

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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'

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