On Sunday, August 18, 2019 at 4:53:28 AM UTC-5, Bruno Marchal wrote:
>
>
> Model theory illustrate that pure mathematics has meaning. 
>
 

A model is a so-called 'structure': 
https://plato.stanford.edu/entries/model-theory/

But allowable structures, typically mathematical entities in the model 
theories of many, are only material (physical) entities in the model theory 
of Hartry Field.

For example, a model of arithmetic could be an actual  semiconductor logic 
gate chip with RAM.

@philipthrift

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