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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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10y ago
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5mo ago

A theory in science is a well-established explanation for a wide range of phenomena, while a model is a simplified representation of a system or process used to make predictions or understand complex phenomena based on the theory. Models often incorporate specific assumptions and simplifications to make them more manageable and easier to study, while theories provide the broader framework and principles that the models are based on.

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Q: How does a theory relate to a model in science?
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