Axiomatic set theory is a foundational system of mathematics and has important applications in many fields. In this work, we present a formal system of axiomatic set theory based on the Coq proof ...

The student will be aquainted with the Zermelo-Fraenkel axiom system ZFC for set theory with the axiom of choice and with how ZFC may serve as a formalization of mathematics. In the first part, ...

3 hours of lectures per week in common with the course MAT4640 – Axiomatic Set Theory (discontinued). In addition, students following the course will be given some extra hours of common academic ...

The question will be approached through an historical examination of how set theory came to occupy its present position (however one wants to characterize that position). No substantial previous ...

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Abstract: This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random ...

Abstract: This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random ...

Elementary set theory and solution sets of systems of linear equations. An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear ...

Miklos Ajtai has worked in various areas of theoretical computer science and mathematics, including sorting networks, lowerbounds for various models of computations, lattice-based cryptography, proof ...