Louise Hay Logic Seminar: The Monster Model: Just What Is That Thing?, by Ryan Carpenter
April 18, 2024
3:00 PM - 3:50 PM
Ryan Carpenter (UIC): The Monster Model: Just What Is That Thing?
To make model theoretic arguments more efficient, one often defers to properties of the so-called "monster model" to pull back desired results to the model within which one works. This convenient tool can seem mysterious and suspect—oftentimes, it makes use of class-sized objects—but it need not. The goal of this talk is to make clearer in the speaker's mind what exactly the monster model is and why it is a legitimate tool in model theoretic arguments; perhaps the audience will find some of the remarks useful as well. Along the way, we will review the concepts of saturation, homogeneity, transcendence (of a theory), and stability.
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Date posted
Apr 25, 2024
Date updated
Apr 25, 2024
Speakers
