Class information for:
Level 1: ARCHIVE FOR HISTORY OF EXACT SCIENCES//HISTORIA MATHEMATICA//HYPERREALS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
21795 405 44.2 9%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
1 4 ECONOMICS//EDUCATION & EDUCATIONAL RESEARCH//PSYCHOL 3876184
466 3       HISTORY & PHILOSOPHY OF SCIENCE//ANNALS OF SCIENCE//ISIS 24377
1022 2             HISTORY & PHILOSOPHY OF SCIENCE//HISTORIA MATHEMATICA//ARCHIVE FOR HISTORY OF EXACT SCIENCES 10254
21795 1                   ARCHIVE FOR HISTORY OF EXACT SCIENCES//HISTORIA MATHEMATICA//HYPERREALS 405

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 ARCHIVE FOR HISTORY OF EXACT SCIENCES journal 541831 16% 11% 66
2 HISTORIA MATHEMATICA journal 402014 13% 10% 52
3 HYPERREALS authKW 241263 1% 80% 4
4 FELIX KLEIN authKW 235606 1% 63% 5
5 INFINITESIMAL authKW 229766 2% 38% 8
6 ABRAHAM ROBINSON authKW 226185 1% 100% 3
7 EPSILONTICS authKW 226185 1% 100% 3
8 EXTENSION OF THE REAL FIELD authKW 226185 1% 100% 3
9 FERMAT ROBINSON STANDARD PART authKW 226185 1% 100% 3
10 LEIBNIZ LOS TRANSFER PRINCIPLE authKW 226185 1% 100% 3

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 History & Philosophy of Science 93972 53% 1% 213
2 Mathematics, Interdisciplinary Applications 7704 31% 0% 127
3 Philosophy 4151 16% 0% 65
4 Mathematics 1813 30% 0% 120
5 Logic 238 2% 0% 7
6 Education, Scientific Disciplines 211 4% 0% 15
7 Classics 143 1% 0% 6
8 Humanities, Multidisciplinary 37 1% 0% 5
9 Religion 32 1% 0% 5
10 Education & Educational Research 22 2% 0% 9

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 BERNOULLI EULER ZENTRUM 100525 0% 67% 2
2 ALBERTO LUIZ COIMBRA POS 75395 0% 100% 1
3 ARBEITSGRP GE ICHTE NAT WISSEN MATH 75395 0% 100% 1
4 CHSPAM SHPERE 75395 0% 100% 1
5 CNRS CHAMPS MAGNT INTENSESUPR3228 75395 0% 100% 1
6 CNRSENS PARISUMR 8590 75395 0% 100% 1
7 DEUT ES MUSEUM 75395 0% 100% 1
8 DIPARTIMENTO MATEMAT PL L TONELLI 75395 0% 100% 1
9 ESTUDIS HIST CIENCIAS 75395 0% 100% 1
10 GRP MATH TEACHING 75395 0% 100% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 ARCHIVE FOR HISTORY OF EXACT SCIENCES 541831 16% 11% 66
2 HISTORIA MATHEMATICA 402014 13% 10% 52
3 BOLLETTINO DI STORIA DELLE SCIENZE MATEMATICHE 64988 1% 17% 5
4 STUDIA LEIBNITIANA 44656 3% 5% 12
5 FOUNDATIONS OF SCIENCE 42809 3% 5% 11
6 REVUE D HISTOIRE DES MATHEMATIQUES 36548 1% 12% 4
7 CENTAURUS 33790 2% 4% 10
8 MATHEMATICAL INTELLIGENCER 21140 3% 2% 13
9 GIORNALE CRITICO DELLA FILOSOFIA ITALIANA 16241 1% 4% 6
10 AMERICAN MATHEMATICAL MONTHLY 13487 5% 1% 22

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 HYPERREALS 241263 1% 80% 4 Search HYPERREALS Search HYPERREALS
2 FELIX KLEIN 235606 1% 63% 5 Search FELIX+KLEIN Search FELIX+KLEIN
3 INFINITESIMAL 229766 2% 38% 8 Search INFINITESIMAL Search INFINITESIMAL
4 ABRAHAM ROBINSON 226185 1% 100% 3 Search ABRAHAM+ROBINSON Search ABRAHAM+ROBINSON
5 EPSILONTICS 226185 1% 100% 3 Search EPSILONTICS Search EPSILONTICS
6 EXTENSION OF THE REAL FIELD 226185 1% 100% 3 Search EXTENSION+OF+THE+REAL+FIELD Search EXTENSION+OF+THE+REAL+FIELD
7 FERMAT ROBINSON STANDARD PART 226185 1% 100% 3 Search FERMAT+ROBINSON+STANDARD+PART Search FERMAT+ROBINSON+STANDARD+PART
8 LEIBNIZ LOS TRANSFER PRINCIPLE 226185 1% 100% 3 Search LEIBNIZ+LOS+TRANSFER+PRINCIPLE Search LEIBNIZ+LOS+TRANSFER+PRINCIPLE
9 MENGOLI 226185 1% 100% 3 Search MENGOLI Search MENGOLI
10 NILPOTENT INFINITESIMALS 169637 1% 75% 3 Search NILPOTENT+INFINITESIMALS Search NILPOTENT+INFINITESIMALS

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 BOROVIK, A , KATZ, MG , (2012) WHO GAVE YOU THE CAUCHY-WEIERSTRASS TALE? THE DUAL HISTORY OF RIGOROUS CALCULUS.FOUNDATIONS OF SCIENCE. VOL. 17. ISSUE 3. P. 245 -276 21 84% 6
2 BLASZCZYK, P , KATZ, MG , SHERRY, D , (2013) TEN MISCONCEPTIONS FROM THE HISTORY OF ANALYSIS AND THEIR DEBUNKING.FOUNDATIONS OF SCIENCE. VOL. 18. ISSUE 1. P. 43-74 22 61% 5
3 KATZ, MG , SHERRY, D , (2013) LEIBNIZ'S INFINITESIMALS: THEIR FICTIONALITY, THEIR MODERN IMPLEMENTATIONS, AND THEIR FOES FROM BERKELEY TO RUSSELL AND BEYOND.ERKENNTNIS. VOL. 78. ISSUE 3. P. 571 -625 18 72% 4
4 KATZ, MG , TALL, D , (2013) A CAUCHY-DIRAC DELTA FUNCTION.FOUNDATIONS OF SCIENCE. VOL. 18. ISSUE 1. P. 107-123 16 80% 4
5 KANOVEI, V , KATZ, KU , KATZ, MG , SCHAPS, M , (2015) PROOFS AND RETRIBUTIONS, OR: WHY SARAH CAN'T TAKE LIMITS.FOUNDATIONS OF SCIENCE. VOL. 20. ISSUE 1. P. 1 -25 16 73% 0
6 BLASZCZYK, P , KANOVEI, V , KATZ, MG , SHERRY, D , (2017) CONTROVERSIES IN THE FOUNDATIONS OF ANALYSIS: COMMENTS ON SCHUBRING'S CONFLICTS.FOUNDATIONS OF SCIENCE. VOL. 22. ISSUE 1. P. 125 -140 12 92% 0
7 TALL, D , KATZ, M , (2014) A COGNITIVE ANALYSIS OF CAUCHY'S CONCEPTIONS OF FUNCTION, CONTINUITY, LIMIT AND INFINITESIMAL, WITH IMPLICATIONS FOR TEACHING THE CALCULUS.EDUCATIONAL STUDIES IN MATHEMATICS. VOL. 86. ISSUE 1. P. 97-124 12 92% 1
8 SORENSEN, HK , (2010) THROWING SOME LIGHT ON THE VAST DARKNESS THAT IS ANALYSIS: NIELS HENRIK ABEL'S CRITICAL REVISION AND THE CONCEPT OF ABSOLUTE CONVERGENCE.CENTAURUS. VOL. 52. ISSUE 1. P. 38-72 13 93% 0
9 CAPOBIANCO, G , ENEA, MR , FERRARO, G , (2017) GEOMETRY AND ANALYSIS IN EULER'S INTEGRAL CALCULUS.ARCHIVE FOR HISTORY OF EXACT SCIENCES. VOL. 71. ISSUE 1. P. 1 -38 11 92% 0
10 KATZ, KU , KATZ, MG , (2012) A BURGESSIAN CRITIQUE OF NOMINALISTIC TENDENCIES IN CONTEMPORARY MATHEMATICS AND ITS HISTORIOGRAPHY.FOUNDATIONS OF SCIENCE. VOL. 17. ISSUE 1. P. 51-89 18 62% 2

Classes with closest relation at Level 1



Rank Class id link
1 18939 HISTORIA MATHEMATICA//ARCHIVE FOR HISTORY OF EXACT SCIENCES//DE MORGAN
2 21697 PRINCIPIA//ISAAC NEWTON//NEWTON
3 19204 HISTORIA MATHEMATICA//BOLLETTINO DI STORIA DELLE SCIENZE MATEMATICHE//ARCHIVE FOR HISTORY OF EXACT SCIENCES
4 37721 FOOD ENGINEERING EDUCATION//FOODSTUFF CHILLING//FREQUENCY CRITERIA
5 20500 HISTORY AND PHILOSOPHY OF LOGIC//LOGICAL CONSTANTS//LOGICAL CONSEQUENCE
6 24667 HERMANN MINKOWSKI//CRITICAL PROGRAMME//ELEKTROSTAL BRANCH
7 35622 REPEAT SPACE THEORY RST//ASYMPTOTIC LINEARITY THEOREM ALT//ADDITIVITY PROBLEMS
8 20692 STUDIA LEIBNITIANA//LEIBNIZ//CORPOREAL SUBSTANCE
9 30653 EFFECTIVE EXTINCTION CROSS SECTION//INFERIOR MIRAGE//WILLEM BARENTS
10 32920 BERKELEY//ANTI ABSTRACTIONISM//DIVINE POWERS

Go to start page