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was and Tarski
This result, known as Tarski's undefinability theorem, was discovered independently by Gödel ( when he was working on the proof of the incompleteness theorem ) and by Alfred Tarski.
Kuratowski ’ s research in the field of measure theory, including research with Banach, Tarski, was continued by many students.
In his 1975 article " Outline of a Theory of Truth ", Kripke showed that a language can consistently contain its own truth predicate, which was deemed impossible by Alfred Tarski, a pioneer in the area of formal theories of truth.
This result, known as Tarski's undefinability theorem, was discovered independently by Gödel ( when he was working on the proof of the incompleteness theorem ) and by Alfred Tarski.
In this period Lukasiewicz and Stanisław Leśniewski founded the Lwów – Warsaw school of logic which was later made internationally famous by Alfred Tarski who had been Leśniewski's student.
He was born in New York City, New York, and received his Ph. D. in 1957 from the University of California, Berkeley under Alfred Tarski.
Feferman was awarded the Schock Prize in logic and philosophy in 2003 and delivered the Tarski Lectures in 2006.
He was a collaborator of Alfred Tarski, and an ally in promoting logic.
Even though Alfred Tarski was his sole doctoral pupil, Leśniewski nevertheless strongly influenced an entire generation of Polish logicians and mathematicians via his teaching at the University of Warsaw.
Though it has seemed " obvious " to mathematicians literally for centuries that proving B from A conjoined with a set of theorems is sufficient to proving the implication A → B based on those theorems alone, it was left to Herbrand and Tarski to show ( independently ) this was logically correct in the general case — another instance, perhaps, of modern logic " cleaning up " mathematical practice.
Tarski demanded that the object language was contained in the metalanguage.
This concept, together with weak interpretability, was introduced by Alfred Tarski in 1953.
This concept, together with interpretability, was introduced by Alfred Tarski in 1953.
The original definition, in terms of a finitely additive invariant measure ( or mean ) on subsets of G, was introduced by John von Neumann in 1929 under the German name " messbar " (" measurable " in English ) in response to the Banach – Tarski paradox.
The converse to this statement is the so-called von Neumann conjecture, which was disproved by Olshanskii in 1980 using his Tarski monsters.
The general conjecture was shown to be false in 1980 by Alexander Ol ' shanskii ; he demonstrated that the Tarski monster group, which is easily seen not to have a free subgroup of rank 2, is not amenable.
* Ingush village Sholkhi was renamed to Khutor Tarski in 1867.
It was first introduced by Tarski in 1935 as a device to establish correspondence between classical propositional calculus and Boolean algebras.
It was in this journal, in 1933, that Alfred Tarski — whose illustrious career would a few years later take him to the University of California, Berkeley — published his celebrated theorem on the undefinability of the notion of truth.
He was influenced by Kuratowski, Lindenbaum and Tarski.
His Ph. D. came in 1939, officially directed by Kuratowski but in practice directed by Tarski who was a young lecturer at that time.

was and who
He certainly didn't want a wife who was fickle as Ann.
He knew who was riding after him -- the men he had known all his life, the men who had worked for him, sworn their loyalty to him.
He was riding between two warriors, who held him erect when he started to slump.
It was, I felt, possible that they were men who, having received no tickets for that day, had remained in the hall, to sleep perhaps, in the corners farthest removed from the counter with its overhead light.
Hague, like all who worked near the pits, was partly deafened from the constant assault against his eardrums.
Facing the forest now, she who had not dared to enter it before, walked between two trees at random and headed in what she believed was the direction of the pool.
Donna, his young wife, the girl who was both daughter and wife to him.
Lewis was a man who had made a full-time job of cow stealing.
He was a man, those neighbors testified later, who didn't have a friend in the world.
But to the cattlemen who had been facing bankruptcy from rustling losses and to the cowboys who had been faced with lay-offs a few years earlier, he was becoming a vastly different type of legendary figure.
Then, with a glory that almost wiped out the deep, downward sags in her careworn face, Matilda leaned over the wheel and shouted to Hez, who was stumbling along in the heat and the dust on the opposite side of the wagon `` Pa!!
Out in the center of the circle the farmer, who was Dan, wasted no time when they came to the line, `` The farmer choose his wife ''.
`` Gyp Carmer couldn't have known about Colcord's money unless he was told -- and who else would have told him ''??
Mrs. Roebuck smilingly declined and began suddenly to go on about her son, who was `` onleh a little younguh than you bawhs ''.
`` You know who the other man was ''??
Present at the scene -- in addition to the dead man, who was indeed Louis Thor -- had been Thor's partner Bill Blake, and Antony Rose, an advertising agency executive who handled the zing account.
My new Aunt was perhaps three or four years older than I and it had been a long time since I had seen as gorgeous a woman who oozed sex.
I don't even remember who wrote it but it was one of those 15th or 16th century poets.
If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.
The Grafin, who was charmed by her, told her, `` Your sister who was here two years ago has quite dark hair.

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