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Topic: Adolf Lindenbaum

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		Adolf, or Adolph, was a popular given name, especially in the German-speaking countries and in Scandinavia, but is rarely given today because of the association with Adolf Hitler.
	amandathefailure.info /adolescence/adolf-hitlers-adolescence.php (916 words)

	Mostowski biography
		He was influenced by his lecturers Kuratowski, Lesniewski, Mazurkiewicz, Lukasiewicz and Sierpinski but an even stronger influence came from Lindenbaum and Tarski.
		His Ph.D. was awarded in February 1939 for his thesis On the Independence of Finitenesss Definitions in a System of Logic, officially directed by Kuratowski but in practice directed by Tarski who was a young lecturer at that time.
		In 1942 another student of mine Adolf Lindenbaum was murdered.
	www-groups.dcs.st-and.ac.uk /history/Biographies/Mostowski.html (2000 words)

	Alfred Tarski's Cardinal Algebras
		It would be impossible for me to conclude this introduction without mentioning one more name - that of Adolf Lindenbaum, a former student and colleague of mine at the University of Warsaw.
		My close friend and collaborator for many years, he took a very active part in the earlier stages of the research which resulted in the present work, and the few references to his contributions that will be found in the book can hardly convey an adequate idea of the extent of my indebtedness.
		Adolf Lindenbaum was killed by the Gestapo in 1941.
	www-groups.dcs.st-and.ac.uk /history/Extras/Tarski_cardinal.html (1273 words)

	bit-player » Blog Archive » Can You Divide by Three?
		Then, four years later, Sierpinski’s student Adolf Lindenbaum announced that he had a proof of divisibility by 3, but he gave no details, and when Lindenbaum died in the mass murders at Paneriai in 1941, the proof was lost.
		Lindenbaum’s announcement was made in a paper written jointly with Alfred Tarski, who must have known Lindenbaum’s proof at the time, but he was unable to reconstruct it later; in 1949 Tarski came up with a different proof of his own.
		Doyle and Conway think that their proof is probably equivalent to the lost proof of Lindenbaum.
	bit-player.org /2006/can-you-divide-by-three (714 words)

	Re: SUO: RE: Re: KIF & Naming Problems (Site not responding. Last check: 2007-10-03)
		I don't think that a Lindenbaum Algebra is a general enough account of a lattice of theories.
		The Lindenbaum Algebra for a system L of propositional logic is simply the boolean algebra you get by partitioning the formulas A of L into equivalence classes [A] under the relation of logical equivalence, and where [A] meet [B] = [AandB], [A] join [B] = [AvB], and complement [A] = [~A].
		Of course, a boolean algebra is a lattice (under the usual definition of the partial ordering relation), but the nodes of a Lindenbaum Algebra are not all the possible theories of the language of L, but only, in effect, the finite ones.
	grouper.ieee.org /groups/suo/email/msg01744.html (275 words)

	Adolf Lindenbaum - Wikipedia, the free encyclopedia
		He was a student of Wacław Sierpiński, became a distinguished author of works on set theory and had served as an Assistant Professor at Warsaw University.
		Among his most famous works is the Lindenbaum's lemma and Lindenbaum-Tarski algebra.
		This article about a Polish mathematician is a stub.
	en.wikipedia.org /wiki/Adolf_Lindenbaum (124 words)

	Adolf - Wikipedia, the free encyclopedia
		Prince Gustaf Adolf, Duke of Västerbotten, Prince of Sweden
		Adolf Friedrich II of Mecklenburg-Strelitz, Duke of Mecklenburg-Strelitz
		Adolf Fredriks kyrka, a church in Stockholm, Sweden
	en.wikipedia.org /wiki/Adolf (145 words)

	[No title]
		In some ways the present proposal is the obverse of the results of (Lindenbaum and Tarski 1936) where Tarski and Lindenbaum proved that all the logical operations of Russell and Whitehead's Principia Mathematica are invariant under one-one transformations of the domain onto itself.
		The present proposal is also employed in (Tarski and Givant 1987), Tarski's last publication that was completed after his death.
		Lindenbaum, Adolf, and Tarski, Alfred, 1936, "On the Limitations of Deductive Theories" in Tarski (1983): 384-92.
	www.templeofreason.org /test1/Alfred_Tarski.htm (1665 words)

	Lvov-Warsaw School (Stanford Encyclopedia of Philosophy)
		The logical community in this city included (in alphabetical order and covering the whole period 1918-1939: Stanisław Jaśkowski (1906-1965), Adolf Lindenbaum (1904-1941?), Andrzej Mostowski (1913-1975), Moses Presburger (1904?-1943), Jerzy Słupecki (1904-1984), Bolesław Sobociński (1904-1980; a philosopher by training)) and Mordechaj Wajsberg (1902-1942?).
		The names of three other logicians who graduated shortly before 1939 or studied during War World II and began their academic work after 1945 should be added, namely Jan Kalicki (1922-1953; a mathematician), Czesław Lejewski (1913-2001; a classicist and philosopher) and Henryk Hiż (1917; a philosopher).
		Of the people mentioned above who lost their lives (mostly Jews murdered by the Nazis): the Lindenbaums, Presburger, Salamucha, Schmierer and Wajsberg.
	plato.stanford.edu /entries/lvov-warsaw (7409 words)

	about (Site not responding. Last check: 2007-10-03)
		The Association was founded in 1936 in Warsaw by Jan Łukasiewicz who became its first President.
		The other members of the first Executive Board were Adolf Lindenbaum, Andrzej Mostowski, Bolesław Sobociński and Alfred Tarski.
		The formal constitution of the Association was written and adopted in 1938.
	logica.mimuw.edu.pl /about.html (137 words)

	Reference.com/Encyclopedia/Alfred Tarski
		Some students were frightened away, but a circle of disciples remained, many of whom became world-renowned leaders in the field." (Anita Feferman 1999)
		dissertations, 5 by women, and strongly influenced the dissertations of Alfred Lindenbaum, Dana Scott, and Steven Givant.
		In some ways the present proposal is the obverse of that of Lindenbaum and Tarski (1936), who proved that all the logical operations of Russell and Whitehead's Principia Mathematica are invariant under one-one transformations of the domain onto itself.
	www.reference.com /browse/wiki/Alfred_Tarski (3698 words)

	POLISH LOGIC OF THE POSTWAR PERIOD
		Priest Jan Salamucha, historian of logic and a close collaborator of Łukasiewicz and Bocheński, was killed during the Warsaw Uprising in 1944.
		Because of their Jewish origin Adolf Lindenbaum, his wife Janina Hosiasson-Lindenbaum, Mojżesz Presburger, and Mordechaj Wajsberg (author of the important papers on many-valued logics) were murdered by the Nazis.
		When the war was over many Polish logicians who were lucky enough to leave Poland earlier decided not to come back to the country.
	www.ifispan.waw.pl /studialogica/PL.Logic.html (7681 words)

	Re: SUO: OpenCyc Motion Open for Discussions
		But in any case, every possible theory of grammar is in that infinite lattice, including every possible version of so-called erroneous or incomplete grammars.
		> In '56, Lindenbaum described that limitation himself.
		I don't know which Lindenbaum you are talking about, but Adolf Lindenbaum died during WWII.
	grouper.ieee.org /groups/suo/email/msg09119.html (518 words)

	[No title]
		Both Rudolf Valentino and the Great Harry Houdini die of peritonitis; movie star Valentino at age 31 after surgery, and magician Houdini, belatedly, after successfully staying underwater for 91 minutes in a tank containing only 5-6 minutes' worth of oxygen.
		The Nazi party places second in German elections, but Adolf Hitler is kept from his seat in the Reichstag because he is an Austrian citizen.
		A questi anni risale il contatto con i polacchi di Varsavia Tarski, Lesniewski, Ajdukiewicz e Kotarbinski.
	web.tiscali.it /aribetti/Seminario99/lezione1.html (3975 words)

	Theories, Models, Reasoning, Language, and Truth
		An infinite hierarchy without an index or catalog might contain all the theories that anyone would ever want or need, but no one would be able to find them.
		To organize the hierarchy of theories, Tarski's student Adolf Lindenbaum showed that the theories could be arranged along the well-defined paths of a lattice.
		If the theories are expressed in first-order logic, the partial ordering X≤Y could be interpreted in three different ways, each of which defines exactly the same lattice:
	www.jfsowa.com /logic/theories.htm (5883 words)

	Completeness Theorems. Model Theory. Mathematical Logic. Part 4.
		Idea #3: prove the (non-constructive) Lindenbaum's lemma: the axiom set of any consistent theory can be extended in such a way, that the extended theory is consistent and complete (the axiom set of the extended theory may be not effectively solvable).
		In such a situation we would add F to the set A, hence, we would have T+A - F. This completes the proof of Lindenbaum's Lemma.
		T+A is a somewhat strange theory, because, in general, we do not have an effective decision procedure for its axiom set.
	www.ltn.lv /~podnieks/mlog/ml4.htm (8826 words)

	Model Theory. Goedel's Completeness Theorem. Skolem's Paradox. Ramsey's Theorem. By K.Podnieks
		Idea #3: prove the (non-constructive) Lindenbaum's lemma: any consistent theory has a consistent complete extension (the axiom set of the extension may not be computably solvable).
		To complete the proof, prove that an arbitrary formula G is true in M, iff T
		proves G. Hence; all theorems of the initial theory T are true in M. Adolf Lindenbaum, 1904-1941?
	linas.org /mirrors/www.ltn.lv/2005.01.29/~podnieks/gta.html (5983 words)

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