Euler diagrams as an introduction to set-theoretical models

Ryo Takemura

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arXiv · 1507.03684

Euler diagrams as an introduction to set-theoretical models

Ryo Takemura

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Abstract

Understanding the notion of a model is not always easy in logic courses. Hence, tools such as Euler diagrams are frequently applied as informal illustrations of set-theoretical models. We formally investigate Euler diagrams as an introduction to set-theoretical models. We show that the model-theoretic notions of validity and invalidity are characterized by Euler diagrams, and, in particular, that model construction can be described as a manipulation of Euler diagrams.

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Ryo Takemura. 2015-07-14. Euler diagrams as an introduction to set-theoretical models. https://arxiv.org/abs/1507.03684

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