Sandro,

Yes, I'm quite aware of that. In addition, many a physicist has wondered why 
certain symmetries seem to be prevalent in the fabric of space(-time). However, 
personally, I think that such thoughts are neither useful nor plausible. Though 
we can discuss philosophically whether some parts of math is embedded in our 
universe as a real thing, everyone would agree that it is quite obscure and 
abstract, if one were to put a scale of concreteness versus abstractness. Thus, 
if the conjecture that Mathematics is entirely abstract may be false, it 
certainly will not be too far from the truth.

Either way, I think my point came across. For BitC, I believe that one needs 
keen dogmatic and practical guidelines in order to progress. We can't solve all 
mathematical, philosophical and type-theoretic problems on this mailing list. 
Instead we should focus on sensible and well-defined sub-problems, and solve 
those as we go.

Thanks,

PKE

-----Original Message-----
From: bitc-dev [mailto:[email protected]] On Behalf Of Sandro Magi
Sent: Saturday, April 04, 2015 7:59 AM
To: Discussions about the BitC language
Subject: Re: [bitc-dev] Not everything is a type

That's a more controversial statement than you might think. Many studying the 
philosophy of mathematics would disagree with you in fact. 
Platonism is a far less problematic foundation. But let's not get off topic for 
this list.

Sandro

On 03/04/2015 3:15 PM, Pal Engstad wrote:
> Nothing  in Mathematics is real. It exists only in our heads.


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