{"product_id":"9783319021706","title":"SpringerBriefs in Philosophy","description":"\u003ch1\u003eSpringerBriefs in Philosophy\u003c\/h1\u003e \u003ch2\u003eHorská, Anna\u003c\/h2\u003e \u003cp\u003eThis 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.​\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-11-06\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319021706\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-02171-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 77\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44480507150476,"sku":"9783319021706","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319021706.jpg?v=1775784243","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319021706","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}