model theory in nLab | 私立大學五星教授網

In mathematical logic, model theory is the study of the relationship between formal theories and their models (those structures in which the statements of ...

由 W Hodges 著作 · 2001 · 被引用 3236 次 — To model a phenomenon is to construct a formal theory that describes and explains it. In a closely related sense, you model a system or ...

由 W Weiss 著作 · 被引用 30 次 — Model Theory is the part of mathematics which shows how to apply logic to the study of structures in pure mathematics. On the one hand it is the ultimate.

2017年3月7日 — Similarly, model theory is one way of moving from specific settings (e.g. the theory of groups) to more general ones (arbitrary theories). It is ...

In model theory and related areas of mathematics, a type is an object that describes how a (real or possible) element or finite collection of elements in a ...

由 D Marker 著作 · 被引用 1679 次 — This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical ...

2023年1月23日 — A model theory for a particular logic typically works within a given universe, and specifies a notion of “mathematical structure” in this ...