Bookmarks
Concepts
Activity
Courses
Learning Plans
Courses
Requests
Log In
Sign up
New Course
Concept
Compactness Theorem
The
Compactness Theorem
in
mathematical logic
states that a set of
first-order sentences
has a model if and only if every finite subset of it has a model, highlighting the interplay between
local consistency
and
global consistency
. This theorem is fundamental in
model theory
, providing a powerful tool for proving the
existence of models
and for
transferring properties
from finite to in
Finite structures
.
Relevant Fields:
Fundamentals of Mathematics 70%
Number Theory 30%
Generate Assignment Link
Lessons
Concepts
Suggested Topics
Foundational Courses
Learning Plans
Log in to see lessons
Log In
Sign up
3