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Completed in 1983, this work culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. Written in collaboration with Steven Givant, the book appeals to a very broad audience, and requires only a familiarity with first-order logic. It is of great interest to logicians and mathematicians interested in the foundations of mathematics, but also to philosophers interested in logic, semantics, algebraic logic, or the methodology of the deductive sciences, and to computer scientists interested in developing very simple computer languages rich enough for mathematical and scientific applications.

Mathematical logic --- Set theory --- Logic, symbolic and mathematical --- Logic, Symbolic and mathematical --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Mathematics --- Algebra of logic --- Logic, Universal --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism --- Set theory. --- Logic, Symbolic and mathematical. --- Théorie des ensembles. --- Logique symbolique et mathématique. --- Axiomatische Mengenlehre. --- Mathematische Logik. --- Mengenlehre. --- Verzamelingen (wiskunde). --- Teoria Dos Conjuntos. --- Théorie des ensembles