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The present situation of research in foundations of mathematics. (Czech) Zbl 0792.01060
Czech translation of the paper “Die gegenwärtige Lage in der mathematischen Grundlagenforschung” by Gerhard Gentzen [Forsch. z. Logik und z. Grundlegung d. exakt. Wiss. Neue Folge, ed. Heinrich Scholz (Leipzig 1938; Zbl 0019.24102)]. Contents: §1. Various views on problems of antinomies and on concept of infinity, §2. Exact mathematical research of foundations: axiomatics, metalogic, metamathematics. Gödel’s and Skolem’s Theorems, §3. Continuum, §4. A possibility of reconciliation various views.
MSC:
01A75 Collected or selected works; reprintings or translations of classics
01A60 History of mathematics in the 20th century
03B30 Foundations of classical theories (including reverse mathematics)
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