Howard Jerome Keisler

Howard Jerome Keisler's AcademicInfluence.com Rankings

Mathematics

#928

World Rank

#1623

Historical Rank

#406

USA Rank

Measure Theory

#520

World Rank

#734

Historical Rank

#212

USA Rank

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Mathematics

Why Is Howard Jerome Keisler Influential?

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According to Wikipedia, Howard Jerome Keisler is an American mathematician, currently professor emeritus at University of Wisconsin–Madison. His research has included model theory and non-standard analysis. His Ph.D. advisor was Alfred Tarski at Berkeley; his dissertation is Ultraproducts and Elementary Classes .

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Howard Jerome Keisler's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Model Theory (1966) (4336)
Handbook of mathematical logic (1977) (800)
Model theory for infinitary logic (1971) (432)
Logic with the quantifier “there exist uncountably many” (1970) (250)
Foundations of infinitesimal calculus (1976) (217)
Elementary Calculus: An Infinitesimal Approach (1976) (209)
ADMISSIBILITY IN GAMES (2008) (203)
An Infinitesimal Approach to Stochastic Analysis (1984) (159)
Continuous Model Theory (1966) (135)
The Kleene Symposium (1980) (128)
Adapted probability distributions (1984) (114)
Model theory for infinitary logic : logic with countable conjunctions and finite quantifiers (1971) (104)
From accessible to inaccessible cardinals (Results holding for all accessible cardinal numbers and the problem of their extension to inaccessible ones) (1964) (99)
Ultraproducts which are not Saturated (1967) (97)
From Accessible to Inaccessible Cardinals (1967) (91)
Ultraproducts and elementary classes (1961) (87)
Why saturated probability spaces are necessary (2009) (87)
An Impossibility Theorem on Beliefs in Games (2006) (85)
Admissibility in Games1 (2008) (84)
GOOD IDEALS IN FIELDS OF SETS (1964) (75)
On the strength of nonstandard analysis (1986) (73)
Model theory, Third Edition (1992) (69)
Ultraproducts and Saturated Models (1964) (62)
Measures and forking (1987) (60)
Fundamentals of Model Theory (1977) (59)
Theory of Models with Generalized Atomic Formulas (1960) (58)
THE ULTRAPRODUCT CONSTRUCTION (2009) (55)
The Hyperreal Line (1994) (53)
On cardinalities of ultraproducts (1964) (50)
Descriptive set theory over hyperfinite sets (1989) (45)
Continuous Model Theory. (AM-58) (1966) (43)
Nonstandard Arithmetic and Reverse Mathematics (2006) (42)
RANDOMIZATIONS OF MODELS AS METRIC STRUCTURES (2009) (40)
Some applications of infinitely long formulas (1965) (37)
On the number of homogeneous models of a given power (1967) (37)
A complete first-order logic with infinitary predicates (1963) (37)
Epistemic conditions for iterated admissibility (2001) (35)
Existence Theorems in Probability Theory (1996) (34)
Meager sets on the hyperfinite time line (1991) (31)
Six classes of theories (1976) (30)
Complete theories of algebraically closed fields with distinguished subfields. (1964) (29)
Reduced products and Horn classes (1965) (28)
University of Illinois at Urbana-Champaign, June 3–7, 2000 (2000) (28)
Making the hyperreal line both saturated and complete (1991) (27)
Model theory of stochastic processes (2016) (27)
Randomizing a Model (1999) (27)
Nonstandard Analysis and its Applications: INFINITESIMALS IN PROBABILITY THEORY (1988) (27)
Models with Orderings (1968) (27)
Rich and Saturated Adapted Spaces (1997) (26)
Elementary extensions of models of set theory (1968) (25)
GETTING TO A COMPETITIVE EQUILIBRIUM (1996) (25)
The strength of nonstandard methods in arithmetic (1984) (24)
Some model theoretic results for θ-logic (1966) (24)
Common assumption of rationality (2011) (22)
Formulas with linearly ordered quantifiers (1968) (22)
Expressive Power of Unary Counters (1997) (21)
From Discrete to Continuous Time (1991) (20)
Ultraproducts of Finite Sets (1967) (19)
Hyperpinite Model Theory (1977) (19)
Abelian groups with layered tiles and the sumset phenomenon (2002) (18)
Barwise: Infinitary Logic and Admissible Sets (2004) (18)
SEPARABLE MODELS OF RANDOMIZATIONS (2015) (17)
Chapter XIV: Probability Quantifiers (1985) (16)
Global Attractors for 3-Dimensional Stochastic Navier–Stokes Equations (2004) (15)
Quantifier elimination for neocompact sets (1998) (15)
Hyperfinite models of adapted probability logic (1986) (14)
Neometric Spaces (1996) (14)
Shrinking games and local formulas (2004) (13)
Universal homogeneous Boolean algebras. (1966) (13)
Finite Approximations of Infinitely Long Formulas (2014) (12)
A Metric on Probabilities, and Products of Loeb Spaces (2004) (12)
The diversity of quantifier prefixes (1973) (12)
Iterated dominance revisited (2010) (11)
Fixed Points in Epistemic Game Theory (2010) (10)
Almost everywhere elimination of probability quantifiers (2009) (10)
ATTRACTORS AND NEO-ATTRACTORS FOR 3D STOCHASTIC NAVIER–STOKES EQUATIONS (2005) (10)
The stability function of a theory (1978) (10)
Model Theory of Stochastic Processes: Lecture Notes in Logic 14 (2002) (10)
A completeness proof for adapted probability logic (1986) (10)
Fixed Points for Strong and Weak Dominance ∗ (2006) (9)
An improved prenex normal form1 (1962) (9)
Loeb Measures and Borel Algebras (2001) (9)
Definable closure in randomizations (2013) (9)
Ideals With Prescribed Degree of Goodness (1965) (9)
Model theories with truth values in a uniform space (1962) (9)
Mathematical Logic and Computability (2000) (8)
Approximate tâtonnement processes (1995) (8)
Maharam spectra of Loeb spaces (2000) (8)
First order properties of pairs of cardinals (1966) (8)
Applications of ultraproducts of pairs of cardinals to the theory of models (1962) (8)
UNIONS OF RELATIONAL SYSTEMS (1964) (8)
Craig interpolation for networks of sentences (2012) (7)
Categoricity without equality (2001) (7)
A law of large numbers for fast price adjustment (1992) (7)
Monotone complete fields (1974) (7)
On theories categorical in their own power (1971) (6)
Nonstandard arithmetic and recursive comprehension (2010) (6)
Game Sentences and Ultrapowers (1993) (6)
Choosing elements in a saturated model (1987) (6)
Definability over Linear Constraints (2000) (6)
Fiber Products of Measures and Quantum Foundations (2014) (5)
A result concerning cardinalities of ultraproducts (1974) (5)
A Price Adjustment Model With Infinitesimal Traders (1986) (5)
Use of a Canonical Hidden-Variable Space in Quantum Mechanics (2013) (5)
Model Theory for Real-valued Structures (2020) (5)
The monotone class theorem in infinitary logic (1977) (4)
Limit ultraproducts (1965) (4)
A local normal form theorem for infinitary logic with unary quantifiers (2005) (4)
Model Theory: Third Edition (Dover Books On Mathematics) By C.C. Chang;H. Jerome Keisler;Mathematics (2012) (4)
What Does a Hidden Variable Look Like ? (2011) (4)
Observable Implications of Unobservable Variables (2010) (4)
Observing, reporting, and deciding in networks of sentences (2014) (4)
Symposium on Foundations of Set Theory: Some Applications of the Theory of Models to Set Theory (1966) (3)
Stochastic Partial Differential Equations: Neocompact sets and stochastic Navier-Stokes equations (1995) (3)
First order quantifiers in monadic second order logic (2004) (3)
Corrections to the paper "From accessible to inaccessible cardinals" (Fundamenta Mathematicae 53 (1964) pp. 225-308) (1965) (3)
Neometric Forcing (2007) (2)
Independence in randomizations (2016) (2)
Review: C. C. Chang, Anne C. Morel, On Closure Under Direct Product (1962) (2)
CONTINUOUS SENTENCES PRESERVED UNDER REDUCED PRODUCTS (2019) (2)
Supplement to "Admissibility in Games": Appendices (2008) (2)
Quantifiers in Limits (2006) (2)
Stochastic Differential Equations with Extra Properties (1997) (2)
A canonical hidden-variable space (2014) (2)
Randomizations of scattered sentences (2017) (2)
Model theory and algebra (1979) (2)
On Some Results of Jonnsson and Tarski Concerning Free Algebras. (1961) (2)
Model Theory Vol. 73 (1990) (2)
Independence relations in randomizations (2014) (1)
Rank Hierarchies for Generalized Quantifiers (2011) (1)
INDEX OF EXERCISES (1966) (1)
Long sequences and neocompact sets (2020) (1)
The relationship between strong belief and assumption (2023) (1)
Definability with a predicate for a semi-linear set (2003) (1)
Randomizing o-minimal theories (2016) (1)
Selected Papers of Abraham Robinson.: Model Theory and Algebra (1982) (1)
On the converse law of large numbers (2020) (1)
Review: M. Makkai, On the Model Theory of Denumerably Long Formulas with Finite Strings of Quantifiers (1973) (1)
In Memory of Ken Kunen (2022) (0)
Common Assumption of Rationality Preliminary Version (2009) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
CHAPTER II. CONTINUOUS LOGICS (1966) (0)
Karp Carol. Nonaxiomatizability results for infinitary systems. The journal of symbolic logic, vol. 32 (1967), pp. 367–384. (1968) (0)
CHAPTER VII. CLASSES PRESERVED UNDER ALGEBRAIC RELATIONS (1966) (0)
Meeting of the Association for Symbolic Logic, Madison, 1982 (1983) (0)
CHAPTER I. TOPOLOGICAL PRELIMINARIES (1966) (0)
INDEX OF DEFINITIONS (1966) (0)
Scattered sentences have few separable randomizations (2017) (0)
Vaught R. L.. Models of complete theories. Bulletin of the American Mathematical Society , vol. 69 (1963), pp. 299–313. (1970) (0)
Guide to Part A: Model Theory (1977) (0)
The Kleene symposium and the summer meeting of the Association for Symbolic Logic, Madison 1978 (1979) (0)
Using Ultrapowers to Compare Continuous Structures (2022) (0)
CHAPTER III. MODEL-THEORETIC PRELIMINARIES (1966) (0)
Rich adapted spaces (2016) (0)
JSL volume 34 issue 1 Cover and Front matter (1969) (0)
COMMONASSUMPTION OF RATIONALITY ∗ (2011) (0)
CHAPTER IV. ELEMENTARILY EQUIVALENT MODELS (1966) (0)
Maharam Spectra of Loeb Spaces 1 (2007) (0)
Adapted neometric spaces (2016) (0)
Review: Carol R. Karp, Finite-Quantifier Equivalence (1971) (0)
Review: K. I. Appel, Horn Sentences in Identity Theory (1966) (0)
Hyperfinite adapted spaces (2016) (0)
Scattered sentences have few separable randomizations (2020) (0)
Review: Miodrag Raskovic, Radosav Dordevic, Probability Quantifiers and Operators (1998) (0)
Definability in adapted spaces (2016) (0)
Makkai M.. On the model theory of denumerably long formulas with finite strings of quantifiers. The journal of symbolic logic , vol. 34 (1969), pp. 437–459. (1973) (0)
CHAPTER VI. SPECIAL MODELS (1966) (0)
Comparing stochastic processes (2016) (0)
Enlarging saturated spaces (2016) (0)
Long Sequences and (2007) (0)
The Kleene Symposium: Proceedings of the Symposium Held June 18-24, 1978 at Madison, Wisconsin, U.S.A. (1981) (0)
Review: R. L. Vaught, Models of Complete Theories (1970) (0)
2 Review of the Literature and the Approach (2011) (0)
1995–1996 Annual Meeting of the Association for Symbolic Logic (1996) (0)
Constructions in Model Theory (2010) (0)
JSL volume 34 issue 2 Cover and Front matter (1969) (0)
Cooperative Games on In nite Trees ∗ (2019) (0)
CHAPTER V. ULTRAPRODUCTS OF MODELS AND APPLICATIONS (1966) (0)
Review: Simon Kochen, J. W. Addison, Leon Henkin, Alfred Tarski, Topics in the Theory of Definition; Walter Felscher, On Criteria of Definability (1969) (0)
Categori ity Without Equality (2014) (0)
Algebraic Independence Relations in Randomizations (2017) (0)

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