This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world.

The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic  Philosophy, Theory of Models and Linguistics.

Part I. Twardowskis School. The Period of Crystallization of LWS.- Introduction. The School: Its Geneses, Development and Significance.- Kazimierz Twardowski: a great teacher of great philosophers.- Jan ukasiewicz: a creator of new ideas in logic and a reinterpreter of its history.- Kazimierz Ajdukiewicz:The Cognitive Role of Language.- Tadeusz Czeowski.- Tadeusz Kotarbinski: Socrates of Warsaw.- Zygmunt Zawirskis life and scientific work.- Stanisaw Leniewski: Original and Uncompromising Logical Genius.- Izydora Dmbska: the first lady of the twentieth century Polish philosophy.- Maria Kokoszyska-Lutman.- Seweryna uszczewska-Romahnowa.- On existential dependence and independence in the world of thoughts and states of affairs.- The Biography of Józef I.M. Bocheski.- Jan Salamucha (1903-1944).- Part II. Warsaw School of Logic, its main Figures and Ideas. The Period of Prosperity.- ukasiewicz and his followers in many-valued logic.- Tomorrows sea-battle and the beginning oftemporal logic.- Leniewski and Mereology.- Alfred Tarski (19011983).- Stanisaw Jakowski: life and work.- Czesaw Lejewski: Propagator of LvovWarsaw Ideas Abroad.- Adolf Lindenbaum, metric spaces and decompositions.- Andrzej Mostowski, a biograpical note.- Jerzy Supecki (19041987).- Bolesaw Sobociski. The Ace of the Second Generation of the LWS.- Many-Valued Logics in the Iberian Peninsula.- Ontology of logic and mathematics in Lvov-Warsaw School.- A view of revival of Mathematical Logic in Warsaw, 1945 -1975.- Andrzej Mostowski and the notion of a model.- All Quantifiers versus the Quantifier All.- Helena Rasiowa (1917-1994).- Andrzej Grzegorczyk, a logician par excellent.- Roman Suszko logician and philosopher.- Backmatter