- Logic Without Borders byISBN: 9781614516873Publication Date: 2015-03-10In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

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**51 Mathematics**

51.00 *General Mathematics*

51.00.30 *Philosophy of Mathematics*

51.03* **Mathematical Logic, Set Theory and Foundations*

51.05 *Combinatorics*

51.06 *Order, Lattices*

51.08 *General Algebraic Systems*

51.11 *Number Theory*

51.12 *Field Theory and Polynomials*

51.13 *Commutative Rings and **Algebras*

51.14 *Algebraic Geometry*

51.15 *Linear Algebra*

51.16 *Associative Rings and Algebras*

51.17 *Nonassociative Rings and Algebras*

51.18 *Category theory, Homological Algebra*

51.20 *Group Theory*

51.22 *Topological Groups, Lie Groups*

51.26 *Real Functions*

51.28 *Measure and Integration*

51.30 *Functions of a Complex Variable*

51.31 *Potential Theory*

51.32 *Several Complex Variables and Analytic Spaces*

51.33 *Special Functions*

51.34 *Ordinary Differential Equations*

51.35 *Partial Differential Equations*

51.37 *Dynamical Systems*

51.39 *Finite Differences and Functional Equations*

51.40 *Sequences, Series, Summability*

51.41 *Approximations and Expansions*

51.42 *Fourier Analysis*

51.43 *Abstract Harmonic Analysis*

51.44 *Integral Transforms*

51.45 *Integral Equations*

51.46 *Functional Analysis*

51.47 *Operator Theory*

51.49 *Calculus of Variations*

51.51 *Geometry*

51.52 *Convex and Discrete Geometry*

51.53 *Differential Geometry*

51.54 *General Topology*

51.55 *Algebraic Topology*

51.57 *Manifolds and Cell Complexes*

51.58 *Global analysis, Analysis on Manifolds*

51.60 *Probability Theory*

51.62 *Statistical Science*

51.65 *Numerical analysis*

51.66 *Tables*

51.67 *Problem Collections*

51.90 *Operations Research, Mathematical Programming*

51.91 *Game Theory, Economics*

51.93 *Systems Theory, Control*

51.94 *Information and Communication*

519.6 *Computational Methods*

93.51 *History of Mathematics*

99.51 *Text Books in Mathematics*

99.511 *High School etc. Text Books in Mathematics*