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Saharon Shelah, the Glossary

Saharon Shelah (born July 3, 1945) is an Israeli mathematician.^[1]

62 relations: Abraham Fraenkel, Abstract elementary class, Arrow's impossibility theorem, Association for Symbolic Logic, Bolyai Prize, Boris Zilber, Cardinal number, Continuum hypothesis, Ehud Hrushovski, EMET Prize, Erdős Prize, European Research Council, Forcing (mathematics), Gödel Lecture, George Pólya Prize, Haaretz, Hausdorff Medal, Hebrew University of Jerusalem, Honorary degree, Hungarian Academy of Sciences, International Congress of Mathematicians, Israel Prize, Jerusalem, Journal of the American Mathematical Society, Leroy P. Steele Prize, List of Israel Prize recipients, List of statements independent of ZFC, Mandatory Palestine, Maryanthe Malliaris, Mathematical beauty, Mathematical logic, Mathematics, Michael O. Rabin, Model theory, New Jersey, PCF theory, Primitive recursive function, Proper forcing axiom, Rami Grossberg, Ras Burqa massacre, Rolf Schock Prizes, Romanization of Hebrew, Royal Swedish Academy of Sciences, Rutgers University, Sauer–Shelah lemma, Set theory, Shelah cardinal, Simon Fraser University, Spectrum of a theory, Stable theory, ... Expand index (12 more) »
21st-century Israeli mathematicians
Einstein Institute of Mathematics alumni
Erdős Prize recipients
Hausdorff Medal winners
Israel Prize in mathematics recipients
Model theorists

Abraham Fraenkel

Abraham Fraenkel (אברהם הלוי (אדולף) פרנקל; 17 February, 1891 – 15 October, 1965) was a German-born Israeli mathematician. Saharon Shelah and Abraham Fraenkel are 20th-century Israeli mathematicians, academic staff of the Hebrew University of Jerusalem, Members of the Israel Academy of Sciences and Humanities and set theorists.

See Saharon Shelah and Abraham Fraenkel

Abstract elementary class

In model theory, a discipline within mathematical logic, an abstract elementary class, or AEC for short, is a class of models with a partial order similar to the relation of an elementary substructure of an elementary class in first-order model theory.

See Saharon Shelah and Abstract elementary class

Arrow's impossibility theorem

Arrow's impossibility theorem is a key result in social choice showing that no rank-order method for collective decision-making can behave rationally or coherently.

See Saharon Shelah and Arrow's impossibility theorem

Association for Symbolic Logic

The Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic.

See Saharon Shelah and Association for Symbolic Logic

Bolyai Prize

The International János Bolyai Prize of Mathematics is an international prize founded by the Hungarian Academy of Sciences.

See Saharon Shelah and Bolyai Prize

Boris Zilber

Boris Zilber (Борис Иосифович Зильбер, born 1949) is a Soviet-British mathematician who works in mathematical logic, specifically model theory. Saharon Shelah and Boris Zilber are model theorists.

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Cardinal number

In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.

See Saharon Shelah and Cardinal number

Continuum hypothesis

In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.

See Saharon Shelah and Continuum hypothesis

Ehud Hrushovski

Ehud Hrushovski (אהוד הרושובסקי; born 30 September 1959) is a mathematical logician. Saharon Shelah and Ehud Hrushovski are academic staff of the Hebrew University of Jerusalem, Erdős Prize recipients, Members of the Israel Academy of Sciences and Humanities and model theorists.

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EMET Prize

The EMET Prize for Art, Science and Culture is an Israeli prize awarded annually for excellence in academic and professional achievements that have far-reaching influence and make a significant contribution to society.

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Erdős Prize

The Anna and Lajos Erdős Prize in Mathematics is a prize given by the Israel Mathematical Union to an Israeli mathematician (in any field of mathematics and computer science), "with preference to candidates up to the age of 40." The prize was established by Paul Erdős in 1977 in honor of his parents, and is awarded annually or biannually.

See Saharon Shelah and Erdős Prize

European Research Council

The European Research Council (ERC) is a public body for funding of scientific and technological research conducted within the European Union (EU). Saharon Shelah and European Research Council are European Research Council grantees.

See Saharon Shelah and European Research Council

Forcing (mathematics)

In the mathematical discipline of set theory, forcing is a technique for proving consistency and independence results.

See Saharon Shelah and Forcing (mathematics)

Gödel Lecture

The Gödel Lecture is an honor in mathematical logic given by the Association for Symbolic Logic, associated with an annual lecture at the association's general meeting.

See Saharon Shelah and Gödel Lecture

George Pólya Prize

The Society for Industrial and Applied Mathematics (SIAM) has three prizes named after George Pólya: the George Pólya Prize for Mathematical Exposition, established in 2013; the George Pólya Prize in Applied Combinatorics, established in 1969, and first awarded in 1971; and the George Pólya Prize in Mathematics, established in 1992, to complement the exposition and applied combinatorics prizes.

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Haaretz

Haaretz (originally Ḥadshot Haaretz –) is an Israeli newspaper.

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Hausdorff Medal

The Hausdorff medal is a mathematical prize awarded every two years by the European Set Theory Society.

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Hebrew University of Jerusalem

The Hebrew University of Jerusalem (HUJI; הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel.

See Saharon Shelah and Hebrew University of Jerusalem

Honorary degree

An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements.

See Saharon Shelah and Honorary degree

Hungarian Academy of Sciences

The Hungarian Academy of Sciences (Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary.

See Saharon Shelah and Hungarian Academy of Sciences

International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

See Saharon Shelah and International Congress of Mathematicians

Israel Prize

The Israel Prize (פרס ישראל; pras israél) is an award bestowed by the State of Israel, and regarded as the state's highest cultural honor.

See Saharon Shelah and Israel Prize

Jerusalem

Jerusalem is a city in the Southern Levant, on a plateau in the Judaean Mountains between the Mediterranean and the Dead Sea.

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Journal of the American Mathematical Society

The Journal of the American Mathematical Society (JAMS), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society.

See Saharon Shelah and Journal of the American Mathematical Society

Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.

See Saharon Shelah and Leroy P. Steele Prize

List of Israel Prize recipients

This is an incomplete list of recipients of the Israel Prize from the inception of the Prize in 1953 through to 2022.

See Saharon Shelah and List of Israel Prize recipients

List of statements independent of ZFC

The mathematical statements discussed below are independent of ZFC (the canonical axiomatic set theory of contemporary mathematics, consisting of the Zermelo–Fraenkel axioms plus the axiom of choice), assuming that ZFC is consistent.

See Saharon Shelah and List of statements independent of ZFC

Mandatory Palestine

Mandatory Palestine was a geopolitical entity that existed between 1920 and 1948 in the region of Palestine under the terms of the League of Nations Mandate for Palestine.

See Saharon Shelah and Mandatory Palestine

Maryanthe Malliaris

Maryanthe Elizabeth Malliaris is a professor of mathematics at the University of Chicago, a specialist in model theory. Saharon Shelah and Maryanthe Malliaris are Hausdorff Medal winners and model theorists.

See Saharon Shelah and Maryanthe Malliaris

Mathematical beauty

Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics.

See Saharon Shelah and Mathematical beauty

Mathematical logic

Mathematical logic is the study of formal logic within mathematics.

See Saharon Shelah and Mathematical logic

Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

See Saharon Shelah and Mathematics

Michael O. Rabin

Michael Oser Rabin (מִיכָאֵל עוזר רַבִּין; born September 1, 1931) is an Israeli mathematician, computer scientist, and recipient of the Turing Award. Saharon Shelah and Michael O. Rabin are academic staff of the Hebrew University of Jerusalem, Einstein Institute of Mathematics alumni and Members of the Israel Academy of Sciences and Humanities.

See Saharon Shelah and Michael O. Rabin

Model theory

In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory hold).

See Saharon Shelah and Model theory

New Jersey

New Jersey is a state situated within both the Mid-Atlantic and Northeastern regions of the United States.

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PCF theory

PCF theory is the name of a mathematical theory, introduced by Saharon, that deals with the cofinality of the ultraproducts of ordered sets.

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Primitive recursive function

In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all "for" loops (that is, an upper bound of the number of iterations of every loop is fixed before entering the loop).

See Saharon Shelah and Primitive recursive function

Proper forcing axiom

In the mathematical field of set theory, the proper forcing axiom (PFA) is a significant strengthening of Martin's axiom, where forcings with the countable chain condition (ccc) are replaced by proper forcings.

See Saharon Shelah and Proper forcing axiom

Rami Grossberg

Rami Grossberg is a full professor of mathematics at Carnegie Mellon University and works in model theory. Saharon Shelah and Rami Grossberg are model theorists.

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Ras Burqa massacre

The Ras Burqa massacre was a mass shooting on 5 October 1985 on Israeli vacationers in Ras Burqa, a beach resort area in the Sinai peninsula, in which seven people, including four children, were killed by Egyptian soldier Suleiman Khater.

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Rolf Schock Prizes

The Rolf Schock Prizes were established and endowed by bequest of philosopher and artist Rolf Schock (1933–1986).

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Romanization of Hebrew

The Hebrew language uses the Hebrew alphabet with optional vowel diacritics.

See Saharon Shelah and Romanization of Hebrew

Royal Swedish Academy of Sciences

The Royal Swedish Academy of Sciences (Kungliga Vetenskapsakademien) is one of the royal academies of Sweden.

See Saharon Shelah and Royal Swedish Academy of Sciences

Rutgers University

Rutgers University, officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey.

See Saharon Shelah and Rutgers University

Sauer–Shelah lemma

In combinatorial mathematics and extremal set theory, the Sauer–Shelah lemma states that every family of sets with small VC dimension consists of a small number of sets.

See Saharon Shelah and Sauer–Shelah lemma

Set theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.

See Saharon Shelah and Set theory

Shelah cardinal

In axiomatic set theory, Shelah cardinals are a kind of large cardinals.

See Saharon Shelah and Shelah cardinal

Simon Fraser University

Simon Fraser University (SFU) is a public research university in British Columbia, Canada, with three campuses, all in Greater Vancouver: Burnaby (main campus), Surrey, and Vancouver.

See Saharon Shelah and Simon Fraser University

Spectrum of a theory

In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities.

See Saharon Shelah and Spectrum of a theory

Stable theory

In the mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity.

See Saharon Shelah and Stable theory

Tel Aviv University

Tel Aviv University (TAU; אוּנִיבֶרְסִיטַת תֵּל אָבִיב, Universitat Tel Aviv, جامعة تل أبيب, Jami’at Tel Abib) is a public research university in Tel Aviv, Israel.

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TU Wien

The Vienna University of Technology (Technische Universität Wien) is a public research university in Vienna, Austria.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California.

See Saharon Shelah and University of California, Berkeley

University of Michigan

The University of Michigan (U-M, UMich, or simply Michigan) is a public research university in Ann Arbor, Michigan.

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University of Wisconsin–Madison

The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States.

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Van der Waerden's theorem

Van der Waerden's theorem is a theorem in the branch of mathematics called Ramsey theory.

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Whitehead problem

In group theory, a branch of abstract algebra, the Whitehead problem is the following question: Saharon Shelah proved that Whitehead's problem is independent of ZFC, the standard axioms of set theory.

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Wolf Foundation

The Wolf Foundation is a private not-for-profit organization in Israel established in 1975 by Ricardo Wolf, a German-born Jewish Cuban inventor and former Cuban ambassador to Israel.

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Wolf Prize in Mathematics

The Wolf Prize in Mathematics is awarded almost annually by the Wolf Foundation in Israel.

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Yad Hanadiv

Yad Hanadiv (The Rothschild Foundation) is a Rothschild family philanthropic foundation in Israel.

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Yonatan Ratosh

Yonatan Ratosh was the literary pseudonym of Uriel Shelach (אוריאל שלח) (November 18, 1908 – March 25, 1981), an Israeli poet and journalist who founded the Canaanite movement.

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Zermelo–Fraenkel set theory

In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

See Saharon Shelah and Zermelo–Fraenkel set theory

References

[1] https://en.wikipedia.org/wiki/Saharon_Shelah

Also known as S. Shelah, Saharon Shelach, שהרן שלח.

, Tel Aviv University, TU Wien, University of California, Berkeley, University of Michigan, University of Wisconsin–Madison, Van der Waerden's theorem, Whitehead problem, Wolf Foundation, Wolf Prize in Mathematics, Yad Hanadiv, Yonatan Ratosh, Zermelo–Fraenkel set theory.

Saharon Shelah, the Glossary

Table of Contents

See also

21st-century Israeli mathematicians

Einstein Institute of Mathematics alumni

Erdős Prize recipients

Hausdorff Medal winners

Israel Prize in mathematics recipients

Model theorists

References