Talk:Acyclic model

Latest comment: 7 years ago by 67.198.37.16 in topic Relation to Model Theory? (If Any?)

Relation to Model Theory? (If Any?)

edit

The way that the word "model" gets used is vaguely reminiscent of model theory; I am wondering if this is formalized at all, or if the usage remains informal. For example, Rotman defines a model as a subset of the objects in a category, and then promptly launches off into homology. In model theory, one never talks of categories as such, but one does define models as a collection of objects that satisfy the sentences of a theory. Now, no one in model theory uses the word "category", but if you blur your ... umm .. mental model of mathematics a bit, you can see that these are similar. Is this formalized anywhere? 67.198.37.16 (talk) 18:40, 6 August 2016 (UTC)Reply