Gary:

> On Oct 20, 2017, at 12:48 PM, Jeffrey Brian Downard <jeffrey.down...@nau.edu> 
> wrote:
> 
> Gary F., Mike, List,
> 
> Should we expand the claim about mathematical objects? Gary F says:  "That 
> includes mathematical and other imaginary objects, which may be intelligible 
> without being perceptible by the senses. Indeed it is only in the 
> mathematical realm that necessary reasoning can be done, because the objects 
> of pure mathematics have no being except what they are defined to have."

I concur with Jeffrey’s definition, which,I think, is widely accepted.

In addition, I am curious about your Peircian grounding of the assertion:
> it is only in the mathematical realm that necessary reasoning can be done,

Do you have specific passages in mind?

Cheers

Jerry
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