Jeff,

Topology is the most general study of geometric space.  It is critical here to 
get beyond the “popular” accounts and learn the basics from a real math book.  
A classic introduction is General Topology by J.L. Kelley but there are lots of 
equally good choices out there. 

Jon 

http://inquiryintoinquiry.com

> On Nov 9, 2016, at 6:34 PM, Jeffrey Brian Downard <[email protected]> 
> wrote:
> 
> John Sowa, Jon Awbrey, Edwina, List,
> 
> I wanted to see if anyone have might suggestions for thinking about the 
> analogy between (1) mathematical models of the differentiation of spaces 
> starting with a vague continuum of undifferentiated dimensions and trending 
> towards spaces having determinate dimensions to (2) models for logic 
> involving similar sorts of dimensions?  How might we understand processes of 
> differentiation of dimensions in the case of logic?

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