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A model is a structure that makes all sentences of a theory true.

A theory is taken to be a set of sentences in a formal language.

The structure is a 'model' in the sense that it is what the theory represents.

Example: 'any two points can be joined by a straight line'

Any structure where all these statements are true is a model of Euclidean geometry.

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Q: How does a theory relate to a model in science?
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A model is a structure that makes all sentences of a theory true. A theory is taken to be a set of sentences in a formal language. The structure is a 'model' in the sense that it is what the theory represents. Example: 'any two points can be joined by a straight line' Any structure where all these statements are true is a model of Euclidean geometry.


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