Age, Biography and Wiki

Jack Silver (Jack Howard Silver) was born on 23 April, 1942 in Missoula, Montana, is an American mathematician. Discover Jack Silver's Biography, Age, Height, Physical Stats, Dating/Affairs, Family and career updates. Learn How rich is he in this year and how he spends money? Also learn how he earned most of networth at the age of 74 years old?

Popular As Jack Howard Silver
Occupation N/A
Age 74 years old
Zodiac Sign Taurus
Born 23 April 1942
Birthday 23 April
Birthplace Missoula, Montana
Date of death 22 December, 2016
Died Place N/A
Nationality Montana

We recommend you to check the complete list of Famous People born on 23 April. He is a member of famous mathematician with the age 74 years old group.

Jack Silver Height, Weight & Measurements

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He is currently single. He is not dating anyone. We don't have much information about He's past relationship and any previous engaged. According to our Database, He has no children.

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Jack Silver Net Worth

His net worth has been growing significantly in 2023-2024. So, how much is Jack Silver worth at the age of 74 years old? Jack Silver’s income source is mostly from being a successful mathematician. He is from Montana. We have estimated Jack Silver's net worth, money, salary, income, and assets.

Net Worth in 2024 $1 Million - $5 Million
Salary in 2024 Under Review
Net Worth in 2023 Pending
Salary in 2023 Under Review
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Source of Income mathematician

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Timeline

1942

Jack Howard Silver (23 April 1942 – 22 December 2016 ) was a set theorist and logician at the University of California, Berkeley.

1966

Born in Montana, he earned his Ph.D. in Mathematics at Berkeley in 1966 under Robert Vaught before taking a position at the same institution the following year.

He discovered 0# ("zero sharp") in his 1966 Ph.D. thesis, discussed in the graduate textbook Set Theory: An Introduction to Large Cardinals by Frank R. Drake.

Silver's original work involving large cardinals was perhaps motivated by the goal of showing the inconsistency of an uncountable measurable cardinal; instead he was led to discover indiscernibles in L assuming a measurable cardinal exists.

1970

He held an Alfred P. Sloan Research Fellowship from 1970 to 1972.

Silver made several contributions to set theory in the areas of large cardinals and the constructible universe L.

1975

In his 1975 paper "On the Singular Cardinals Problem", Silver proved that if a cardinal κ is singular with uncountable cofinality and 2λ = λ+ for all infinite cardinals λ < κ, then 2κ = κ+.

Prior to Silver's proof, many mathematicians believed that a forcing argument would yield that the negation of the theorem is consistent with ZFC.

He introduced the notion of a master condition, which became an important tool in forcing proofs involving large cardinals.

Silver proved the consistency of Chang's conjecture using the Silver collapse (which is a variation of the Levy collapse).

He proved that, assuming the consistency of a supercompact cardinal, it is possible to construct a model where 2κ = κ++ holds for some measurable cardinal κ.

With the introduction of the so-called Silver machines he was able to give a fine structure free proof of Jensen's covering lemma.

He is also credited with discovering Silver indiscernibles and generalizing the notion of a Kurepa tree (called Silver's Principle).