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         Skolem Thoralf:     more detail
  1. Abstract Set Theory by Thoralf Skolem, 1962-06
  2. Lattice Theorists: Thoralf Skolem, Garrett Birkhoff, Henry Wallman, Øystein Ore, Robert P. Dilworth, Alfred Horn, Bjarni Jónsson, Richard J. Wood
  3. Mathématicien Norvégien: Niels Henrik Abel, Sophus Lie, Atle Selberg, Thoralf Skolem, Ludwig Sylow, Kristen Nygaard, Axel Thue, Viggo Brun (French Edition)
  4. Albert Thoralf Skolem (German Edition)
  5. Primitive Recursive Arithmetic: Primitive Recursive Arithmetic, Quantification, Thoralf Skolem, Finitism, Foundations of Mathematics, Ordinal Analysis, Peano Axioms, Natural Number
  6. Primitive Recursive Function: Primitive Recursive Function, Primitive Recursive Arithmetic, Quantification, Thoralf Skolem, Finitism, Foundations of Mathematics, ... Analysis, Peano Axioms, Natural Number
  7. Primitive Recursive Arithmetic: Quantification, Thoralf Skolem, Finitism, Foundations of Mathematics, Ordinal Analysis, Peano Axioms, Natural Number, Primitive Recursive Function, Addition
  8. ABSTRACT SET THEORY. Notre Dame Mathematical Lectures Number 8. by Thoralf A. SKOLEM, 1962
  9. MODERN LOGIC: FROM FREGE TO GÖDEL: SKOLEM: An entry from Gale's <i>Encyclopedia of Philosophy</i> by Bede Rundle, 2006

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22. References
Translate this page skolem, thoralf. 1910. H. Weyl. Über die Definitionen der mathematischenGrundbegriffe. 89-90. Review of Weyl 1910. skolem, thoralf. 1920.
http://www.hf.uio.no/filosofi/njpl/vol1no2/skogod/node2.html
Next: Up: Skolem and Gödel Previous: Skolem and Gödel
References
Boos, William. Jul. 1992.

Typescript.

, 2, p. 3.
Reprinted in , pp. 240-242.

, 4, p. 385.
Reprinted in , p. 262.

, 40, pp. 433-443.
Reprinted in , pp. 306-326.
Besprechung von ``Ein kombinatorischer Satz mit Anwendung auf ein logisches Entscheidungsproblem''.
, 7, pp. 97-98.
Reprinted in , p. 372.

, 2, p. 3. Reprinted in , pp. 378-380.
, 10, p. 49. Reprinted in , p. 384.
Collected Works, edited by Solomon Feferman , vol. 1. Oxford University Press, New York.
Goldfarb, Warren D. 1971.
Review of Skolem 1970 Journal of Philosophy , 68, pp. 520-530.
Goldfarb, Warren D. 1979.
Logic in the twenties: The nature of the quantifier. Journal of Symbolic Logic , 44, pp. 351-368.
van Heijenoort, Jean (ed.). 1967.
Harvard University Press, Cambridge, Mass.
Skolem, Thoralf. 1910.
, 41, pp. 89-90. Review of Weyl 1910
Skolem, Thoralf. 1920.
Skrifter utgit av Videnskabsselskapet i Kristiania, I. Matematisk-naturvidenskabelig klasse , 4, pp. 1-36. Reprinted as 1920a in Skolem 1970 , pp. 103-136.

23. References
Translate this page Conclusion. References. skolem, thoralf. 1919a. Untersuchungen überdie pp. 67-101. skolem, thoralf. 1920a. Logisch-kombinatorische
http://www.hf.uio.no/filosofi/njpl/vol1no2/pioneer/node14.html
Next: Up: Thoralf Skolem: Pioneer of Previous: 13. Conclusion
References
Skolem, Thoralf. 1919a.
Untersuchungen über die Axiome des Klassenkalküls und über Produktations- und Summationsprobleme, welche gewisse Klassen von Aussagen betreffen.
Skrifter utgit av Videnskabsselskapet i Kristiania
Reprinted in Skolem , pp. 67-101.
Skolem, Thoralf. 1920a.
Logisch-kombinatorische Untersuchungen über die Erfüllbarkeit und Beweisbarkeit mathematischen Sätze nebst einem Theoreme über dichte Mengen.
Skrifter utgit av Videnskabsselskapet i Kristiania, I. Matematisk-naturvidenskabelig klasse , 4, pp. 1-36.
Reprinted in Skolem , pp. 103-136.
Skolem, Thoralf. 1922a.
Über ganzzahlige Lösungen einer Klasse unbestimmter Gleichungen.
Norsk Matematisk Forenings skrifter , series 1, no. 12.
Skolem, Thoralf. 1922b.
Einige Bemerkungen zur axiomatischen Begründung der Mengenlehre.
In Matematikerkongressen i Helsingfors 4-7 juli 1922, Den femte skandinaviska matematikerkongressen, Redogörelse , pp. 217-232. Akademiska Bokhandeln, Helsinki.
Reprinted in Skolem , pp. 137-152.

24. Albert Thoralf Skolem
Translate this page Albert thoralf skolem Seite aus einem deutschsprachigen Online-Philosophenlexikon.philosophenlexikon.de, Albert thoralf skolem (1887 - 1963).
http://www.philosophenlexikon.de/skolem.htm
Begriffe Abaelard - Ayer
Baader - Byron

Cabanis - Czezowski

Ebbinghaus - Ewald
...
Frauen in der Philosophie
Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail
Albert Thoralf Skolem (1887 - 1963)
Der norwegische Mathematiker und Logiker powered by Uwe Wiedemann

25. Philosophenlexikon.de
skolem, Albert thoralf; Sloniewska, Halina;Slupecki, Jerzy; Smiglecki, Marcin; Smolka, Franciszek; Smuts, Jan
http://www.philosophenlexikon.de/index-ss.htm
Begriffe Abaelard - Ayer
Baader - Byron

Cabanis - Czezowski

Ebbinghaus - Ewald
...
Frauen in der Philosophie
Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail
Philosophen und Logiker
[a] [b] [c] [d] ... [z] S powered by Uwe Wiedemann

26. Zermelo-Fraenkel Set Theory - Encyclopedia Article About Zermelo-Fraenkel Set Th
The axioms are the result of work by thoralf skolem Albert thoralf skolem(May 23, 1887 March 23, 1963) was a Norwegian mathematician.
http://encyclopedia.thefreedictionary.com/Zermelo-Fraenkel set theory
Dictionaries: General Computing Medical Legal Encyclopedia
Zermelo-Fraenkel set theory
Word: Word Starts with Ends with Definition The Zermelo-Fraenkel axioms of set theory (ZF) , are the standard axioms axioma axioein axios ), meaning worthy. Among the philosophers of the ancient Greeks an axiom was a claim which could be seen to be true without any need for proof.
Click the link for more information. of axiomatic set theory Set theory is a branch of mathematics and computer science created principally by the German mathematician Georg Cantor at the end of the 19th century. Initially controversial, set theory has come to play the role of a foundational theory in modern mathematics, in the sense of a theory invoked to justify assumptions made in mathematics concerning the existence of mathematical objects (such
Click the link for more information. on which, together with the axiom of choice The axiom of choice is an axiom in set theory. It was formulated about a century ago by Ernst Zermelo, and was quite controversial at the time. It states the following: Let X be a collection of non-empty sets. Then we can

27. MathSeek.com Skolem,_Thoralf
Math Logic and Foundations History People skolem,thoralf Found 0 sites about skolem, thoralf.
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28. Directorio - Enlaces
Arthur Norman @ (2); Quine, Willard van Orman @ (12); Russell, Bertrand@ (18); skolem, thoralf (2); Tarski, Alfred (5); Turing, Alan
http://www.satd.uma.es/matap/svera/links/matnet1.html

29. Directorio - Lógica Y Fundamentos
skolem, thoralf (2); Tarski, Alfred (5); Turing, AlanMathison (7); Wittgenstein, Ludwig @ (53). Logicians (159). Links 101 - 200.
http://www.satd.uma.es/matap/svera/links/matnet12.html
Lógica y Fundamentos Restaurar marco Añade tu web Anterior Home ... Siguiente en todo el directorio Dmoz sólo en Filosofía/Lógica Top Directorio Español: Matemáticas : Lógica y conjuntos Descripción Genéricas: Específicas: Esta categoría en otros idiomas:

30. The Mathematics Genealogy Project - Thoralf Skolem
thoralf Albert skolem Biography Ph.D. Universitetet i Oslo 1926. According to ourcurrent online database, thoralf skolem has 1 students and 201 descendants.
http://www.genealogy.ams.org/html/id.phtml?id=18237

31. Logician's Year
Carnap Rudolf, (* 1891). 23 Mar, skolem, thoralf, (+ 1963). 24 Mar, Lorenzen,Paul, (* 1915). 21 May, Zermelo, Ernst, (+ 1951). 23 May, skolem, thoralf, (* 1887).June.
http://www.volny.cz/logici/vyroci/english.html
The Logician's Year
January February March April ... December
January
5 Jan Kleene, Stephen Cole 6 Jan Cantor, Georg 12 Jan Hintikka, Jaakko 14 Jan Carroll, Lewis Tarski, Alfred Gödel, Kurt 19 Jan Ramsey, Frank Plumpton 23 Jan Hilbert, David 26 Jan Kleene, Stephen Cole 27 Jan Carroll, Lewis
February
2 Feb Russell, Bertrand Artur William 3 Feb Lewis, Clarence Irving 6 Feb Arnauld, Antoine 8 Feb von Neumann, Johannes 11 Feb Post, Emil Leon 12 Feb Herbrand, Jean Dedekind, Richard 13 Feb £ukasiewicz, Jan 14 Feb Hilbert, David 15 Feb Whitehead, Alfred North 16 Feb Nicod, Jean 17 Feb Fraenkel, Adolf Abraham 22 Feb Ramsey, Frank Plumpton 27 Feb Brouwer, Luitzgen Egbertus Jan
March
3 Mar Cantor, Georg 5 Mar Barwise, Jon 6 Mar Davidson, Donald 7 Mar Montague, Richard 18 Mar de Morgan, Augustus Carnap Rudolf 23 Mar Skolem, Thoralf 24 Mar Lorenzen, Paul 25 Mar Ackermann, Wilhelm
April
2 Apr Vaught, Robert Lawson 4 Apr Venn, John Vaught, Robert Lawson 12 Apr Lewis, Clarence Irving 19 Apr Peirce, Charles Sanders 20 Apr Peano, Giuseppe 21 Apr Post, Emil Leon 26 Apr Wittgenstein, Ludwig 28 Apr Gödel, Kurt

32. Logikùv Rok
Translate this page Carnap Rudolf, (* 1891). 23. 3. skolem, thoralf, (+ 1963). 24. 23. 5. skolem,thoralf, (* 1887). Èerven. 7. 6. Turing, Alan Mathison, (+ 1954). 14.
http://www.volny.cz/logici/vyroci/
Logikùv rok
Leden Únor Bøezen Duben ... Prosinec
Leden
Kleene, Stephen Cole Cantor, Georg Hintikka, Jaakko Carroll, Lewis Tarski, Alfred Gödel, Kurt Ramsey, Frank Plumpton Hilbert, David Kleene, Stephen Cole Carroll, Lewis
Únor
Russell, Bertrand Artur William Lewis, Clarence Irving Arnauld, Antoine von Neumann, Johannes Post, Emil Leon Herbrand, Jean Dedekind, Richard £ukasiewicz, Jan Hilbert, David Whitehead, Alfred North Nicod, Jean Fraenkel, Adolf Abraham Ramsey, Frank Plumpton Brouwer, Luitzgen Egbertus Jan
Bøezen
Cantor, Georg Barwise, Jon Davidson, Donald Montague, Richard de Morgan, Augustus Carnap Rudolf Skolem, Thoralf Lorenzen, Paul Ackermann, Wilhelm
Duben
Vaught, Robert Lawson Venn, John Vaught, Robert Lawson Lewis, Clarence Irving Peirce, Charles Sanders Peano, Giuseppe Post, Emil Leon Wittgenstein, Ludwig Gödel, Kurt Wittgenstein, Ludwig
Kvìten
Löwenheim, Leopold Heyting, Arend Wang, Hao Russell, Bertrand Arthur William Wang, Hao Zermelo, Ernst Skolem, Thoralf
Èerven
Turing, Alan Mathison Church, Alonzo von Wright, Georg Henrik von Wright, Georg Henrik Turing, Alan Mathison

33. Clarification: Skolem
Clarification skolem. skolem, like Löwenheim, adopts the notation of Schröder. Thiswill later be needed for the skolem Paradox in set theory.
http://www.thoralf.uwaterloo.ca/htdocs/scav/skolem/skolem.html
Previous: Principia Mathematica Next: Hilbert Up: Supplementary Text Topics
Clarification: Skolem
  • Skolem shows that by adding predicates for ``has at least n , where is quantifier-free, and finding an equivalent quantifier-free formula . Skolem notes that this means that every first-order formula is then equivalent to a quantifier-free formula. This is of course the modern meaning of the elimination of quantifiers. And Skolem notes that the final form of such a quantifier-free formula is equivalent to a Boolean combination of assertions about the sizes of the constituents. Thus he has a precise handle on the expressive power of the Calculus of Classes.

In this paper Skolem first introduces what is now called the Skolem normal form , namely to each first-order statement he associates an sentence which is obtained via a simple combinatorial procedure, and has the essential property that is satisfiable on a given domain iff is satisfiable on the same domain. He shows that if an
His main achievement here is to give an algorithm to decide which universally quantified statements are consequences of the lattice axioms.

34. HighBeam Research: ELibrary Search: Results
While studying and working in New York 195557 8. skolem, thoralf Albert (1887-1963)The Hutchinson Dictionary of Scientific Biography; January 1, 1998
http://www.highbeam.com/library/search.asp?FN=AO&refid=ency_refd&search_dictiona

35. HighBeam Research: ELibrary Search: Results
1998 All rights reserved 8. skolem, thoralf Albert (18871963) TheHutchinson Dictionary of Scientific Biography; January 1, 1998
http://www.highbeam.com/library/search.asp?FN=AO&refid=ency_refd&search_dictiona

36. From Frege To Goedel
Translate this page tr. by Stefan Bauer-Mengelberg. (Über Möglichkeiten im Relativkalkül, MathematischeAnnalen 76.) skolem, thoralf, Logico-combinatorial investigations in the
http://www.fuchu.or.jp/~d-logic/en/books/ftog.html
HEIJENOORT, Jean van, (ed.),
Harvard Univ. Press, 1967 ; 3rd Pr., 1977.
This book contains some 40 articles. Each of them contributes more or less to the development of mathematical logic.
CONTENTS
FREGE, Gottlob
Begriffsschrift , a formula language, modeled upon that of arithmetic, for pure thought, 1879.
tr. by Stefan Bauer-Mengelberg. ( Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens , Halle ; reprinted in , ed. by Ignacio ANGELELLI, Hildesheim, Olms, 1964.)
PEANO, Guiseppe
The principles of arithmetic by a new method, 1889.
tr. by Jean van Heijenoort. ( Arithmetices principia, nova methodo exposita , Turin ; reprinted in Opera scelte , vol. 2, Edizioni cremonese, 1958.)
DEDEKIND, Richard
Letter to Keferstein, 1890.

BURALI-FORTI, Cesare A question on transfinite numbers, 1897.
tr. by Jean van Heijenoort. (Una questione sui numeri transfiniti, Rendiconti del Circolo matematico di Palermo 11
CANTOR, Georg Letter to Dedekind, 1899.
tr. by Stefan Bauer-Mengelberg. (Cantor an Dedekind, in Gesammelte Abhandlungen mathematischen und philosophischen Inhalts , ed. by Ernst ZELMELO, Berlin, Springer, 1932 ; reprinted 1962, Hildesheim, Olms.)

37. Albert Thoralf Skolem
Albert thoralf skolem. 1887~1963. Albert thoralf skolem.
http://www.aistudy.co.kr/pioneer/Skolem.T.htm
Albert Thoralf Skolem Google : Skolem Google : Skolem Albert Thoralf Skolem

38. List Of Mathematical Topics (S-U) - Information
Skewes number Skewness SkewHermitian matrix Skew-symmetric Skew-symmetricmatrix skolem normal form skolem, thoralf Slater determinant
http://www.book-spot.co.uk/index.php/List_of_mathematical_topics_(S-U)
List of mathematical topics (S-U) - Information Home
Mathematical and natural sciences

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Social sciences and philosophy
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Mathematicians
S
Saccheri Saccheri, Giovanni Gerolamo Sadleirian Chair Sainte-Laguë method ... Set-builder notation Set-theoretic intersection see: Intersection (set theory) Set domain Set-theoretic union see: Union (set theory) Set theory Seven bridges of Königsberg Sexagesimal ... Szego, Gabor
T
T1 space Table of bases Table of derivatives Table of divisors ... Typical set
U
Ulam spiral Ulam, Stanislaw Marcin Ultra Ultrafilter ... Utility All text is available under the terms of the GNU Free Documentation License (see for details). . Wikipedia is powered by MediaWiki , an open source wiki engine.

39. Godel 3
1931. 1932d Review of thoralf skolem 1931, AMsS, 2 pp. 1932. 1932e 1932.1932n Review of thoralf skolem 1932, AMsS, 2 pp. 1932. 1933j
http://libweb.princeton.edu/libraries/firestone/rbsc/aids/godel/godel3.html
IV. Drafts and Offprints Box/Folder AMs Notebook (in Gabelsberger shorthand) labelled "Diss. unrein," written both directions [1929?] TMs [carbon] (in German) labelled "Dissertation," with autograph corrections, 34 pp. [1929?] TMs (in German), labelled "Vollstandigkeit d. Axiome" with autograph corrections, 20 pp. [1930?] Printed page proof with autograph corrections [1930?] Offprint 1930 Galley with autograph annotations [1930] TMs (in German) with autograph corrections, pp. 10 [1930] AC describing contents of original file n.d. Erkenntnis 2 TMs [carbon] of discussion (in German) with autograph corrections, p. 23 ca.1930 TMs of Nachtrag ("Supplement"), with autograph corrections, 3 pp., back labelled "Erkenntnis" [1931?] TMs of Nachtrag with autograph corrections, p. 3 Offprint with autograph annotations [1931] Copy of Erkenntnis 2 with autograph annotations 1931 Undecidability Results (early drafts of AMs (in Gabelsberger shorthand) in 2 Notebooks, one inserted in the other, labelled "Unentsch. unrein," written both directions [1930?] AMs Notebook (in Gabelsberger shorthand), labelled "Unentsch. unrein," written both directions [1930?]

40. References For Skolem
References for Albert thoralf skolem. Scand. 13 (1963), 58. T Nagell,thoralf skolem in Memoriam, Acta Mathematica 110 (1963), i-xi.
http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ9C8B.htm
References for Albert Thoralf Skolem
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles:
  • E Fenstadt, Thoralf Albert Skolem in Memoriam, Nordisk Mathematisk Tidsskrift
  • G Gjone, Uber Leben und Werk von Thoralf Skolem, Contributions to the history, philosophy and methodology of mathematics, Wiss. Z. Greifswald, Ernst- Moritz- Arndt- Univ. Math.-Natur. Reihe
  • W Ljunggren, Thoralf Albert Skolem in memoriam, Math. Scand.
  • T Nagell, Thoralf Skolem in Memoriam, Acta Mathematica (1963), i-xi.
  • S Selberg, Thoralf Albert Skolem (Norwegian), Norske Vid. Selsk. Forh. (Trondheim) Close this window or click this link to go back to Skolem
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