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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

61. Logic And Foundations Math - 789 Of The Best Sites Selected By Humans
thoralf skolem (18871963) History Tarski,_Alfred -Alfred Tarski -Alfred Tarski-Introduction to Logic -The Bulletin of Symbolic Logic, June 1999 -The
http://www.cbel.com/logic_and_foundations_math/
Pages A-G 2 Columns
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Logic and Foundations Math
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Abstract Service

Classical Logic

Logic and Games
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Mind Versus Goedel by Damjan Bojadziev

Computability
Bibliographic Database for Computability Theory

Church-Turing Thesis
Computability and Complexity Computability Theory ... Perl Contains the Lambda-Calculus Computational_Logic Coq CtCoq The Coq proof assistant Computational_Logic Formulae-as-Types_Correspondence A presentation of the Curry-Howard Correspon... Logic Programming in the LF Logical Framewor... Af2 Proof Assistant Alfa ... The Fusion Calculus: Expressiveness and Symm... Directories ASL members Australian Logic Home Page Computability Theory Description Logics ... Stanford Encyclopedia of Logic Technology Education A Problem Course in Mathematical Logic; by S... Around G¶dels Theorem ASL Committee on Logic Education Core Concepts in Critical Thinking ... University of Alberta Logic Course Foundations A Century of Controversy over the Foundation...

62. BIOGRAPHIES OF PAST NUMBER THEORISTS And VARIOUS ITEMS OF HISTORICAL INTEREST
Waclaw Sierpinski Waclaw Sierpinski (MacTutor); Waclaw Sierpinski (AA).Albert thoralf skolem Albert thoralf skolem (MacTutor); thoralf
http://www.mri.ernet.in/~ntweb/N14.html
Biographies of past number theorists and various items of historical interest

63. HISTORICAL THINGS IN NUMBER THEORY
Waclaw Sierpinski (MacTutor); Albert thoralf skolem (MacTutor) Fenstad,Jens Erik. thoralf Albert skolem 18871963 A Biographical Sketch.
http://www.mri.ernet.in/~mathweb/NTW/N14.html
Historical things in Number Theory

64. From Ralph Freese (ralph@math.hawaii.edu) July 1 Not Long Ago
hawaii.edu) July 1 Not long ago we discovered that the quasi word problem (ususuallyjust called the word problem) had be solved in 1920 by thoralf skolem.
http://www.autoreason.com/lics-tutorial-feedback.txt
July 8 David, Thanks for your message and the references. Here is another relevant reference, which extends Skolem's result. Best, Phokion - >From MELVYL@UCCMVSA.UCOP.EDU Tue Jul 8 09:42:18 1997 Return-Path: Received: from uccmvsa.ucop.edu (uccmvsa.ucop.edu [128.48.140.3]) by lorraine.loria.fr (8.8.5/8.8.5/8.8.5/JCG) with SMTP id JAA18168 for ; Tue, 8 Jul 1997 09:42:15 +0200 (MET DST) Message-Id: Received: from UCCMVSA.UCOP.EDU by uccmvsa.ucop.edu (IBM MVS SMTP V3R1) with BSMTP id 7871; Tue, 08 Jul 97 00:42:15 PDT Received: by UCCMVSA.UCOP.EDU Tue, 08 Jul 97 00:42:07 PDT Date: Tue, 08 Jul 97 00:42:07 PDT From: Melvyl System

65. Descripteur - 03B15
Translate this page Ouvrage Abstract set theory skolem, thoralf A. (Principal) University ofNotre Dame Notre Dame Mathematical Lectures, 0008 1962 Ouvrage RdC (S).
http://bibli.cirm.univ-mrs.fr/Thesaurus.htm&numrec=051919857919160
Descripteur
    AMS : 03-XX: 03Bxx:
    Higher-order logic and type-theory
Ajouter au panier Imprimer Envoyer par mail
Ouvrage
Foundations and applications of montague grammar,part 1

philosophy,framework,computer science

Janssen, T. M. V.
(Principal)
Centre For Mathematics And Computer Science

C.w.i. tract, 0019
Formal methods in the study of language,part 2

third colloquium on... held at amsterdam,march 25-28,1980
Groenendijk, J. A. G. (Editeur) ; Janssen, T. M. V. (Editeur) ; Stokhof, M. B. J. (Editeur) Mathematisch Centrum Mathematical centre tracts, 0136 Formal methods in the study of language,part 1 third colloquium on... held at amsterdam,march 25-28,1980 Groenendijk, J. A. G. (Editeur) ; Janssen, T. M. V. (Editeur) ; Stokhof, M. B. J. (Editeur) Mathematisch Centrum Mathematical centre tracts, 0135 Ouvrage Popular lectures on mathematical logic Wang, Hao (Principal) Beijing Science Press Van Nostrand N.Y. Ouvrage RdC (W) Ouvrage Introduction to higher order categorical logic Lambek, J. (Principal) ; Scott, P. J.

66. MAI: Lite Mat
The problem of deciding which sets of the form A = 1 n that are classicalskolem sets was solved by thoralf skolem in the late 1950 s.
http://www.mai.liu.se/LiteMat/2003/v9-03/
LiU Matematiska Institutionen
Ett informationsblad från matematiska institutionen vid Linköpings universitet. Material till Lite Mat lämnas till Maud Lindström litemat@mai.liu.se senast torsdagar kl 12.00. Vi har dessutom ett arkiv av gamla nummer.
***LITE MAT***
Matematiska kollokviet
Onsdagen den 5 mars, kl. 13.00-14.00 talar Andreas Bette, KTH syd On spinning objects in (special) relativity Sammanfattning: -A relativistic (twistor) phase space formulation of the dynamics of a spinning electrically charged massive particle in an external electro-magnetic field will be presented. The function used to generate such a dynamics is chosen so that it corresponds to the (second order) Dirac operator.
-If time permits, a relativistic (twistor) action integral will be presented describing a free massive spinning (no Grassman variables are needed) string. Lokal: ISY/MAI:s seminarierum Glashuset, ing 25. Välkomna!
Vladimir Kozlov

Svante Linusson
och
Stefan Rauch-Wojciechowski
Analysseminarium
Fredagen den 21 februari, kl. 13.15-15.00 talar Professor Nikolay Kuznetsov, St Petersburg Unsteady water waves in the presence of submerged obstacles Lokal: ISY/MAI:s seminarierum Glashuset, ing 25

67. File 22-1-95.TXT Dateilänge 46 KB * * * * Bearbeiter N.
LÖWENHEIM,LEOPOLD(004) 19 skolem,thoralf(007) 19
http://www.phil.uni-passau.de/dlwg/ws03/22-1-95.txt
ERLÄUTERUNGEN ZU DEN LITERATURHINWEISEN: 1. FORMALBIBLIOGRAPHISCHE INFORMATIONEN V - Verfasser TI - Titel (hinter "..." evtl. ein Abstract) Z - Zeitschriften-(Festschrift usw.) Titel BD - Band (mögliche Abkürzungen: "S" f. Sonderheft, "J" f. Jahrbuch JG - Jahrgang SE - Seiten DT - Dokumententyp (mögliche Abkürzung: "JO" f. Zeitschrift, "CO" f. Kongressakte, "HO" f. Festschrft, "RE" f. Reader SPR - Sprache des Artikels (mögliche Abkürzungen: die ersten vier Buchstaben der englischen Bezeichnung der Sprache, also z.B. "GERM" für deutsch). 2. INHALTLICHE INFORMATION Eine inhaltliche Erschliessung der Nachweise wurde erreicht durch 1. eine Anzahl dem Text entnommener Sachwörter oder Namen (als sogenannte "Deskriptoren"), 2. die Kennzeichnung des thematischen Zusammenhangs der Deskriptoren, 3. die Angabe der Wichtigkeit der Deskriptoren im vorliegenden Dokument In (035)/Kant, Immanuel (020)/Lorentz, Hendrik Antoon (035) SPR: GERM (freie Naturgesetz (035)/Erfahrung (035)/Deskript.) Relativitätstheorie

68. 00:1 Newsletter On Philosophy And Computers: Web Site Reviews: Electronic Journa
1, No.2 (December, 1996) are largely devoted to a special topic. This particularissue contains several interesting articles about the work of thoralf skolem.
http://www.apa.udel.edu/apa/publications/newsletters/v00n1/computers/06.asp

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Olufemi Taiwo, Editor Philosophy and Law Richard Nunan, Editor Philosophy and Lesbian, Gay, Bisexual and Transgender Issues Timothy Murphy, Editor Philosophy and Medicine Rosamond Rhodes, Editor Teaching Philosophy Eugene Kelly, Co-Editors Navigation Newsletters Index (00:1) apaOnline Home Page
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Newsletter on Philosophy and Computers Web Site Reviews Previous Article Index Next Article Electronic Journals: Number 6 Robert L. Causey, Review Editor Department of Philosophy The University of Texas at Austin rlc@cs.utexas.edu www.utexas.edu/cola/depts/philosophy/faculty/causey/ www.tandf.co.uk/tfas/ ). The online version is at www.hf.uio.no/filosofi/njpl/ . The online version advertises the print version, soliciting both individual and institutional subscriptions. This ad is not at all obtrusive; in fact, it is easy to miss seeing it. After clicking on "subscriptions" one receives a screen of information including the statement, "For the time being, the electronic edition of NJPL is provided free of charge. If we receive a sufficient number of subscriptions to the paper version, this service will be continued indefinitely." Let us hope that this experiment is successful. The journal was established in 1995 and is currently publishing Volume 4.

69. Collected Works In Mathematics And Statistics
Sierpinski, Waclaw, 18821969, Oeuvres choisies, 3, QA 3 S57 1974, Killam. skolem,thoralf Albert, 1887-1963, Selected works in logic, 1, QA 9 S54 1970, Killam.
http://www.mathstat.dal.ca/~dilcher/collwks.html
Collected Works in Mathematics and Statistics
This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter:
A B C D ... X-Y-Z
A
[On to B] [Back to Top]
N.H. Abel

70. Congrès Acfas - Communication Présentée Au Congrès
norvégien thoralf skolem n a eu de cesse, de 1915 jusqu à sa mort en 1963
http://hercules.is.mcgill.ca/acfas72/C3747.htm
C-618 La recherche collégiale : fondamentale pour la société des savoirs (colloque) DENIS, FRANÇOIS-MICHEL
Construction d'une toute première structure mathématique réalisant le paradoxe de Skolem.
Envoyez vos commentaires à : congres@acfas.ca

71. [FOM] Order Type Of Non-standard Models
I went to the library last week and got hold of thoralf skolem s Selected Works in Logic , edited by Fenstad. My memory of the
http://www.cs.nyu.edu/pipermail/fom/2003-August/007181.html
[FOM] Order type of non-standard models
Alasdair Urquhart urquhart at cs.toronto.edu
Mon Aug 4 14:07:58 EDT 2003 More information about the FOM mailing list

72. Another View Of Nonstandard Analysis
In 1961, Abraham Robinson based a new way to study limits, continuity, and otheraspects of analysis on thoralf skolem s nonstandard models for Peano
http://www.haverford.edu/math/wdavidon/NonStd.html
Another View of Nonstandard Analysis
William C. Davidon, Haverford College, Haverford PA 19041 wdavidon@haverford.edu ... there are good reasons to believe that nonstandard analysis, in some version or other, will be the analysis of the future.
0. Introduction
All versions of nonstandard analysis relate standard numbers to others in much the way that numbers like 1/7 and used in exact and symbolic computations relate to numbers like .142857 and 3.14159 used in numerical approximations. While nonstandard integers are too large to be uniquely specified, each has a decimal representatiion with a nonstandard number of digits, and students can compute with these in much the way that they do with standard integers, without reference to any formal theory; e.g. = 97...361. Each nonstandard positive integer exceeds all standard ones, and each has the familiar arithmetic properties of all standard integers; e.g. , each is a product of primes and a sum of four squares. Some mathematicians use Edward Nelson's Internal Set Theory [1977] to classify both standard and nonstandard integers as finite, and hence members of the ordered ring Z of finite integers. Others use a more traditional set theory to classify nonstandard integers as neither finite nor members of

73. Norske Matematikere
Ernst S. Selmer (1920 ). Karl Egil Aubert Diofantiske likninger i norsk matematikk.Ernst S. Selmer 70 år . Normat, 1990. thoralf skolem (1887 - 1963).
http://home.hia.no/~aasvaldl/norskem.html
Norske matematikere
Navigasjonslinker:
Min hjemmeside.
Norske matematikere Adresser til norske matematikere Bent Birkeland har samlet en del materiale i "Norske matematikere". Gyldendal Norsk Forlag Professorer i matematikk ved Universitetet i Oslo. Tapir Avdeling for realfag, hjemmeside.
Niels Henrik Abel (1802 - 1829)

74. Encyclopedia4U - List Of Mathematical Topics (S-U) - Encyclopedia Article
SIS Skein relation Skewes number Skewness Skewsymmetric Skew-symmetricmatrix skolem normal form skolem, thoralf Slide rule
http://www.encyclopedia4u.com/l/list-of-mathematical-topics-s-u-.html
ENCYCLOPEDIA U com Lists of articles by category ...
Encyclopedia Home Page
SEARCH :
List of mathematical topics (S-U)
See list of mathematical topics for the purpose and extend of this list. A-C D-F G-I J-L ... P-R - S-U - V-Z
S
Saccheri Saccheri, Giovanni Gerolamo Sadleirian Chair Sainte-Laguë method Salamin-Brent algorithm Saradha, K Sarkovskii's theorem Satge, Philippe Satisfiability Saunderson, Nicolas Sawtooth wave Scalar ... Schneier, Bruce Schnirelmann Schnirelmann, L. G Schnirelmann density Schooten, Frans van Schrödinger, Erwin Schrödinger equation ... Sellmeier equation Selten Selten, Reinhart Semantic network Semi-continuous Semidirect product Semigroup ... Semiprime Semiring Senary Sensitivity Separability Separable ... SHA-1 Shanks, Daniel Shannon, Claude E Shannon capacity Shannon-Fano coding Shannon-Hartley law ... Skew-symmetric matrix Skolem normal form Skolem, Thoralf Slide rule Sliding puzzle Slightly defective number Sloane Sloane, Neil Slope Smale Smale, Stephen Small-angle formula ... Sokhotski, Yulian Vasilievich Soldner's constant Solid Solid angle Soliton Soliton (topological) Solomon, Gustave

75. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï
Born 6 May 1872 in Sneek, Netherlands Died 20 Nov 1934 in Leiden, Netherlandsskolem, Albert thoralf skolem Born 23 May 1887 in Sandsvaer, Norway Died 23
http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=S

76. Skolemization
y . This rule, called skolemization (after the logician thoralf skolem)is justified in Chapter 8 of Theorem Proving and Algebra.
http://www.cs.ucsd.edu/groups/tatami/handdemos/doc/skol.htm
Skolemization Suppose we are given a proof task of the form A, ( X)( y)(W)B ] Q where A is some set of formulae, where W is some sequence of quantifiers, where B is a formula that does not begin with a quantifier, and where indicates that the signature involved is Then to achieve this proof task, it suffices to do the proof task A, ( X)(W)P' (y')] Q where ](y') indicates the signature formed from by adding a new function symbol y' , called a Skolem function , with arguments given by X , and where P' is P with each free instance of y replaced by y' This rule, called Skolemization (after the logician Thoralf Skolem) is justified in Chapter 8 of Theorem Proving and Algebra For example, given the proof task (where the variables range over integers) x)( y)(x + y = 0) ] Q . it suffices to prove x)(x + y'(x) = 0) (y')] Q . where y'(x) is the Skolem function (it is the negation function in this case). In many cases the Skolemized form is easier to use. This rule can be applied repeatedly to eliminate all existential quantifiers from formulae to the left of the symbol.

77. Geschichte Der Mathematischen Logik
Translate this page Seine Axiomatisierung der Mengenlehre von 1908 setzte sich durch und wurde bis heutevielfach erweitert - durch Abraham Fränkel, thoralf skolem, Johann von
http://www.mathematik.uni-muenchen.de/~zuber/wozu/einstein.html
Wozu Mathematische Logik?
W OLFGANG Z UBER
"Kalkül" Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens Principia Mathematica zu liefern: "vollständig" Der Formalismus hatte Nahrung bekommen von in der Mathematik der Jahrhundertwende auftretenden Paradoxien, die man einem zu sorglosen Umgang mit den neuen Objekten zuschrieb ( "Grundlagenkrise" Menge aller Mengen, die sich selbst nicht als Element enthalten. (Diese "Menge" Type-Checking als eine der effizientesten Methoden bei der Fehlersuche in Programmen bezeichnet werden. "erster Stufe" Model-Checking Ein etwas anderer Zweig der Beweistheorie, der auf Gentzens Dissertation (Hauptsatz.) M INLOG , einem Prototypen zur Entwicklung garantiert korrekter Software. "Maschinen" Etwa gleichzeitig entwickelte sich eine Kultur des formalen Rechnens, die darauf abzielte, alle berechenbaren Funktionen auf zwei Grundfunktionen, die Abstraktion f x f und die Applikation f x f x , sowie eine einfache Ersetzungsregel f x f x die formalen Regeln der intuitionistischen Logik und Mathematik Logik in der Informatik

78. Notre Dame Archives Inventory: UDIS Bio S
UDIS117/98 (folder) Skoglund, Leonard ?1916-1972 UDIS144/73 - (folder) skolem,thoralf Albert - Math - 1887- UDIS117/99 - (folder) Slake, Edmund C
http://www.archives.nd.edu/udis-s.htm
Archives
Public Relations and Information
Biographical Files (S)
Sachar, Abram Leon - Honorary Degree Recipient :: UDIS130/05 - (subject within a folder)
Sadlier, Mary Anne Madden- Laetare Medalist - 1820-1903 :: UDIS129/01 - (subject within a folder)
Saeks, Richard - Electrical Engineering :: UDIS117/13 - (folder)
Saenz, Delia S. - 1959- :: UDIS147/75 - (folder)
Saha, Lawrence J. Sociology [empty] :: UDIS117/14 - (folder)
Saint John Stevas, Norman Antony Francis - Honorary Degree Recipient - 1999 - (subject within a folder)
Saitta, Joseph John - 1916- :: UDIS137/22 - (folder)
Salbey, Robert McKeon - English - 1931- :: UDIS117/15 - (folder)
Saletta, Gerald F. - Electrical Engineering - 1936- :: UDIS117/16 - (folder)
Salzman, Eymard - died 1990/0119 :: UDIS 59/22 - (subject within a folder)
Samiee, Saeed - Marketing - 1946- :: UDIS117/17 - (folder) Samora, Julian - l920- :: UDIS139/33 - (folder) Samson, Charles Harold, Jr Civil Engineering- 1924- :: UDIS117/18 - (folder) Sandman, Joseph G. - 1948- :: UDIS147/76 - (folder) Sandonato, Peter D. - died 1980/0507 :: UDIS 58/22 - (subject within a folder)

79. Skolem
d Oslo. Outre la théorie des nombres (équations diophantiennes
http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Skolem.html
Ackermann ou non. ZF ou ZFC ( Zermelo Fraenkel -axiome du choix ou de Zermelo : Ramanujan Bernays

80. Science/Math/Logic_and_Foundations/Logicians
algebra logic computers. URL http//www.thoralf.uwaterloo.ca/ CholakPeter University of Notre Dame recursion theory. URL http
http://www.science-and-research.com/Science/Math/Logic_and_Foundations/Logicians
Search: Category Description:
Information about individual logicians, including historic personalities. Science Math Logicians Bernays, Paul
Boole, George

Church, Alonzo

Frege, Gottlob
...
Friedman Harvey

Ohio State University.
URL: http://www.math.ohio-state.edu/foundations/
Shelah Saharon

Rutgers University and Hebrew University - includes paper archive.
URL: http://math.rutgers.edu/~shelarch/ Slaman Theodore A. UC Berkeley - recursion theory URL: http://www.math.berkeley.edu/~slaman/ Solovay Robert M. UC Berkeley. URL: http://www.math.berkeley.edu/~solovay/ Foreman Matthew UC Irvine. URL: http://www.math.uci.edu/mforeman.html Hjorth Greg UCLA - descriptive set theory countable models definable equivalence relations. URL: http://www.math.ucla.edu/~greg/ Moschovakis Yiannis N. UCLA. URL: http://www.math.ucla.edu/~ynm/ Kanamori Akihiro Boston University - set theory. URL: http://math.bu.edu/people/aki/ Avigad Jeremy Carnegie Mellon University - proof theory constructive mathematics proof complexity and the history and philosophy of mathematics. URL: http://www.andrew.cmu.edu/~avigad/

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