caa a22 4500 477092578 CHVBK 20180405111519.0 cr unu---uuuuu 170330e19960301xx s 000 0 ger 10.1007/BF02913788 doi (NATIONALLICENCE)springer-10.1007/BF02913788 Schreiber Peter Fachrichtungen Mathematik/Informatik, Ernst-Moritz-Arndt-Universität, Freidrich-Ludwig-Jahn-Str. 15a, D-17487, Greifswald aut Mengenlehre—Vom Himmel Cantors zur Theoria prima inter pares [Elektronische Daten] [Peter Schreiber] On the occasion of the 150th birthday of Georg Cantor (1845-1918), the founder of the theory of sets, the development of the logical foundations of this theory is described as a sequence of catastrophes and of trials to save it. Presently, most mathematicians agree that the set theory exactly defines the subject of mathematics, i.e., any subject is a mathematical one if it may be defined in the "language” (i.e., in the notions) of set theory. Hence the nature of formal definitions plays an important role within the logical foundations of mathematics. Its study is also helpful to answer the question of how it is possible that the set theory as a universal new ontology for the subject of mathematics (as people hoped around 1900) totally failed but nevertheless the language of set theory is successful in all the mathematical practice. Birkhäuser Verlag, 1996 NTM International Journal of History & Ethics of Natural Sciences, Technology & Medicine Birkhäuser-Verlag 4/1(1996-03-01), 129-143 0036-6978 4:1<129 1996 4 48 https://doi.org/10.1007/BF02913788 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02913788 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schreiber Peter Fachrichtungen Mathematik/Informatik, Ernst-Moritz-Arndt-Universität, Freidrich-Ludwig-Jahn-Str. 15a, D-17487, Greifswald aut NATIONALLICENCE 773 0- NTM International Journal of History & Ethics of Natural Sciences, Technology & Medicine Birkhäuser-Verlag 4/1(1996-03-01), 129-143 0036-6978 4:1<129 1996 4 48 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer