Limiting theories of substructures

Samuel M. Corson

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arXiv · 1707.08241

Limiting theories of substructures

Samuel M. Corson

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Abstract

We introduce the notion of limiting theories, giving examples and providing a sufficient condition under which the first order theory of a structure is the limit of the first order theories of a collection of substructures. We also give a new proof that theories like that of infinite sets are not finitely axiomatizable.

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BibTeX RIS

Samuel M. Corson. 2017-07-25. Limiting theories of substructures. https://arxiv.org/abs/1707.08241

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