標(biāo)題: Titlebook: Ernst Zermelo - Collected Works/Gesammelte Werke; Volume I/Band I - Se Ernst Zermelo,Heinz-Dieter Ebbinghaus,Craig G. Fra Book 2010 Springe [打印本頁(yè)] 作者: Daidzein 時(shí)間: 2025-3-21 19:31
書目名稱Ernst Zermelo - Collected Works/Gesammelte Werke影響因子(影響力)
作者: 走路左晃右晃 時(shí)間: 2025-3-21 21:20 作者: integral 時(shí)間: 2025-3-22 01:23
Zermelo 1904, from what was later called by Zermelo “the axiom of choice [.]” (AC), a principle formulated for the first time in this letter. Shortly after, there appeared in volume 59 of the . a paper by Zermelo (no date is given for its receipt) of slightly less than three pages which sets out this proof. The 作者: 歡呼 時(shí)間: 2025-3-22 08:08
Zermelo 1908a,n § 2, the new proof that I give below of the same theorem may yet be of interest, since, on the one hand, it presupposes no specific theorems of set theory and, on the other, it brings out, more clearly than the first proof did, the purely formal character of the well-ordering, which has nothing at作者: macular-edema 時(shí)間: 2025-3-22 10:47 作者: 奴才 時(shí)間: 2025-3-22 13:23
Zermelo 1909a,xpressed by the opening sentence of .:.Anyone wishing to found arithmetic on the theory of natural numbers as the ., faces the task, first and foremost, of defining .; for cardinal number is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as on作者: 奴才 時(shí)間: 2025-3-22 20:51
Zermelo 1909b,r is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as one about finite sets. In what follows we shall try to derive the most important property of the natural numbers, namely the ., from as simple a definition as possible of finite sets, and 作者: Palate 時(shí)間: 2025-3-22 23:45
Zermelo 1913,rst mathematical analysis of strategies in games. While the paper claims to be an application of set theory, and while it would have appeared that way to Zermelo’s contemporaries, the set-theoretic notions in the paper have since become part of standard mathematical practice, and to modern eyes the 作者: nocturia 時(shí)間: 2025-3-23 03:53 作者: 防銹 時(shí)間: 2025-3-23 05:54 作者: 收藏品 時(shí)間: 2025-3-23 10:13
Zermelo s1921,ithin mathematics. Zermelo’s ., comprising five multi-part philosophical “theses”, should be understood in that spirit. Despite its brevity, . is somewhat repetitive. It seems that Zermelo had no intention of publishing it even as part of some longer piece. Instead, . likely functioned as a personal作者: molest 時(shí)間: 2025-3-23 17:38
Zermelo 1927,s thesis, Zermelo criticizes “the truly discouraging effect of the French original memoirs” on the promulgation of the theory of measure and expresses the opinion that “a simple and clearly arranged development of the theory from the fundamentals satisfying at the same time all requirements of scien作者: VALID 時(shí)間: 2025-3-23 18:11 作者: 財(cái)產(chǎn) 時(shí)間: 2025-3-24 01:00 作者: Pituitary-Gland 時(shí)間: 2025-3-24 05:10 作者: 單色 時(shí)間: 2025-3-24 08:40 作者: CLEAR 時(shí)間: 2025-3-24 10:42
Zermelo 1904,’s correspondence or Zermelo’s papers, and its fate is not known. There do exist in Zermelo’s hand some fragments from a draft of this letter, but the bulk of the proof is missing. Thus, all that we really have is the published paper.作者: Stress 時(shí)間: 2025-3-24 16:45
Zermelo 1927,n to his thesis, Alexandrow likewise points out that “the line of thought of the entire development and the essential results [...] have been communicated to [...] [[the author]] by Herrn Prof. Zermelo for a systematic elaboration”. — It is only in 1927 after a long break that Zermelo himself submit作者: lambaste 時(shí)間: 2025-3-24 20:04
Book 2010each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence..作者: Cupidity 時(shí)間: 2025-3-25 01:34
Yasmin Rustamova,Massimo Lombardi’s correspondence or Zermelo’s papers, and its fate is not known. There do exist in Zermelo’s hand some fragments from a draft of this letter, but the bulk of the proof is missing. Thus, all that we really have is the published paper.作者: 歡樂中國(guó) 時(shí)間: 2025-3-25 07:17 作者: Spangle 時(shí)間: 2025-3-25 07:34
2945-901X ovided by an acknowledged expert in the field which comments on the historical background, motivations, accomplishments, and influence..978-3-642-26209-8978-3-540-79384-7Series ISSN 2945-901X Series E-ISSN 2945-9028 作者: Incise 時(shí)間: 2025-3-25 11:53
William K. Cornwell III,Peter Buttrickmade in the paper, Zermelo’s arguments for these claims are incomplete. As we shall see below, there are other gaps in the paper, one of which was fixed by Dénes K?nig in his .. K?nig’s paper also contains two paragraphs, ., on arguments of Zermelo fixing this gap, using ideas similar to K?nig’s.作者: 消極詞匯 時(shí)間: 2025-3-25 18:54
Andrè E. Aubert,Hugo Ector,Roland Stroobandts a platform from which he developed new insights when faced with the pioneering results of Thoralf Skolem and Kurt G?del. Zermelo’s views had evidently been sharpened by intensive discussions with the philosopher Marvin Farber in the 1920s.作者: HAVOC 時(shí)間: 2025-3-25 23:44 作者: photopsia 時(shí)間: 2025-3-26 02:32
Zermelo s1929b,s a platform from which he developed new insights when faced with the pioneering results of Thoralf Skolem and Kurt G?del. Zermelo’s views had evidently been sharpened by intensive discussions with the philosopher Marvin Farber in the 1920s.作者: 搜尋 時(shí)間: 2025-3-26 05:12 作者: APEX 時(shí)間: 2025-3-26 08:59 作者: 大暴雨 時(shí)間: 2025-3-26 14:20
https://doi.org/10.1007/978-0-387-48868-4 and of an algebraic integer (i.e. an integral element in the field . of all algebraic numbers). More precisely, if ? = . is the usual ring of (rational) integers and . the usual ring of algebraic integers, Maillet asked whether there exists a ring . of complex numbers.作者: 逗它小傻瓜 時(shí)間: 2025-3-26 18:56
Salah Abdel-Aleem,James E. Lowend in 1862 he accepted a professorship in Brunswick, the town where he was born, living there until his death. Already in 1859 he became a corresponding member and in 1862 an external member of the K?nigliche Gesellschaft der Wissenschaften zu G?ttingen.作者: dearth 時(shí)間: 2025-3-26 21:06
Zermelo 1908b,” (. for short). In order fully to appreciate Zermelo’s research we must discuss the 19th century emergence of the concept of set as a . of mathematics as well as the axiomatic method with all its many facets.作者: 木訥 時(shí)間: 2025-3-27 03:33
Book 2010, his papers include also pioneering work in applied mathematics and mathematical physics...This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemente作者: 熄滅 時(shí)間: 2025-3-27 07:02
Michio Arakawa,Tsutomu Tanaka,Senri Hirakawa rely on the basic concepts and methods of general set theory created by . and .. We shall, however, . use the assumption that there exists an “infinite set”, i.e., one which is equivalent to one of its parts as . still does in his fundamental essay: “Was sind und was sollen die Zahlen? ”.作者: Adherent 時(shí)間: 2025-3-27 09:43
https://doi.org/10.1007/978-3-642-50115-9the theory of systems of infinitely long propositions described in ., ., and .; but serious questions regarding the dating of . have been raised (see ., 205). In any case, talk of theses implies supplementary elaboration, and ., ., and . will provide it.作者: EXCEL 時(shí)間: 2025-3-27 15:01 作者: Negligible 時(shí)間: 2025-3-27 17:55
Cardiac Positron Emission Tomography Mathematics”, and surely the fellowship was a significant factor in his return to the fray of foundational work. . was a report, dated 3 December 1930, to the Notgemeinschaft for the continuation of the fellowship into 1931.作者: 整潔 時(shí)間: 2025-3-27 22:00
Zermelo 1909b, rely on the basic concepts and methods of general set theory created by . and .. We shall, however, . use the assumption that there exists an “infinite set”, i.e., one which is equivalent to one of its parts as . still does in his fundamental essay: “Was sind und was sollen die Zahlen? ”.作者: 空洞 時(shí)間: 2025-3-28 03:18
Zermelo s1921,the theory of systems of infinitely long propositions described in ., ., and .; but serious questions regarding the dating of . have been raised (see ., 205). In any case, talk of theses implies supplementary elaboration, and ., ., and . will provide it.作者: 變量 時(shí)間: 2025-3-28 10:00 作者: flamboyant 時(shí)間: 2025-3-28 11:15
Zermelo s1930d, Mathematics”, and surely the fellowship was a significant factor in his return to the fray of foundational work. . was a report, dated 3 December 1930, to the Notgemeinschaft for the continuation of the fellowship into 1931.作者: promote 時(shí)間: 2025-3-28 18:07
Zermelo 1901, G?ttingen and wrote his . in hydrodynamics. Influenced by David Hilbert, he became gradually involved in set-theoretic questions. In the winter semester 1900/01 Zermelo gave a lecture on set theory—one of the first lectures at all on this then rather new subject. We may date the main result of the paper to late winter 1900/01.作者: 軍械庫(kù) 時(shí)間: 2025-3-28 20:10
Zermelo 1914, and of an algebraic integer (i.e. an integral element in the field . of all algebraic numbers). More precisely, if ? = . is the usual ring of (rational) integers and . the usual ring of algebraic integers, Maillet asked whether there exists a ring . of complex numbers.作者: 令人苦惱 時(shí)間: 2025-3-28 23:35 作者: amplitude 時(shí)間: 2025-3-29 03:21
Gonzalo Baron Esquivias,Riccardo Asteggiano” (. for short). In order fully to appreciate Zermelo’s research we must discuss the 19th century emergence of the concept of set as a . of mathematics as well as the axiomatic method with all its many facets.作者: 放牧 時(shí)間: 2025-3-29 10:52 作者: hysterectomy 時(shí)間: 2025-3-29 12:18 作者: Ventricle 時(shí)間: 2025-3-29 16:57
Markus Schwaiger,Otto Muzik,Gary D. HutchinsThe concept of a complete propositional system is introduced, that is, of a propositional system containing all logical consequences of its propositions. The consideration of such systems may be preferred to the axiomatic formulation with respect to certain questions.作者: dapper 時(shí)間: 2025-3-29 21:24
,Ernst Zermelo’s , 27 July: Zermelo is born in Berlin as the second child and the only son of the . Theodor Zermelo and his wife Auguste neé Zieger.作者: 無(wú)可爭(zhēng)辯 時(shí)間: 2025-3-30 01:55 作者: 不易燃 時(shí)間: 2025-3-30 06:07
Zermelo 1930b,The concept of a complete propositional system is introduced, that is, of a propositional system containing all logical consequences of its propositions. The consideration of such systems may be preferred to the axiomatic formulation with respect to certain questions.作者: 合并 時(shí)間: 2025-3-30 09:48
Nuclear Imaging for Device Therapyction of the axiom of choice in 1904 and his axiomatization of set theory in 1908. The axiom of choice led to a methodological enrichment of mathematics, and the axiomatization was the starting point of post-Cantorian set theory. Zermelo also made significant contributions later, particularly in his 1930 introduction of the cumulative hierarchy.作者: Legion 時(shí)間: 2025-3-30 12:44
Niccolò Marchionni,Alessandro Boccanellin § 2, the new proof that I give below of the same theorem may yet be of interest, since, on the one hand, it presupposes no specific theorems of set theory and, on the other, it brings out, more clearly than the first proof did, the purely formal character of the well-ordering, which has nothing at all to do with spatio-temporal arrangement.作者: savage 時(shí)間: 2025-3-30 18:54
Myoglobin and Carbonic Anhydrase IIIxpressed by the opening sentence of .:.Anyone wishing to found arithmetic on the theory of natural numbers as the ., faces the task, first and foremost, of defining .; for cardinal number is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as one about finite sets.作者: arsenal 時(shí)間: 2025-3-30 20:48
Investigations Prior to Pacing,teness. The paper provoked a swift response by Thoralf Skolem, ., a response which had a strong impact on Zermelo’s foundational views in the 1930s. In the following we first describe the range and nature of the criticism. We then comment on the paper, and in the concluding section we discuss the impact of Skolem’s response.作者: 壯觀的游行 時(shí)間: 2025-3-31 03:03 作者: 雀斑 時(shí)間: 2025-3-31 06:13
Zermelo 1908a,n § 2, the new proof that I give below of the same theorem may yet be of interest, since, on the one hand, it presupposes no specific theorems of set theory and, on the other, it brings out, more clearly than the first proof did, the purely formal character of the well-ordering, which has nothing at all to do with spatio-temporal arrangement.作者: 先行 時(shí)間: 2025-3-31 11:28
Zermelo 1909a,xpressed by the opening sentence of .:.Anyone wishing to found arithmetic on the theory of natural numbers as the ., faces the task, first and foremost, of defining .; for cardinal number is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as one about finite sets.作者: prostatitis 時(shí)間: 2025-3-31 15:20 作者: 芳香一點(diǎn) 時(shí)間: 2025-3-31 21:01
Ernst Zermelo,Heinz-Dieter Ebbinghaus,Craig G. FraIncludes supplementary material: 作者: embolus 時(shí)間: 2025-4-1 00:01 作者: 窩轉(zhuǎn)脊椎動(dòng)物 時(shí)間: 2025-4-1 04:31 作者: nocturia 時(shí)間: 2025-4-1 06:58 作者: Outshine 時(shí)間: 2025-4-1 10:11
Ernst Zermelo - Collected Works/Gesammelte Werke978-3-540-79384-7Series ISSN 2945-901X Series E-ISSN 2945-9028
