[FOM] Classical/Constructive Arithmetic

[S. Spijkerman / F. Waaldijk]

thank you hendrik, but in my thesis these issues are only indicated.

rather the issues are discussed in the follow-up paper, to which i will give 
the direct link here: 
http://home.hetnet.nl/~sufra/foundations%20of%20constructive%20mathematics.pdf

(eg. it is proved in the paper, amongst other foundational issues concerning 
bish-math, that the current definition of continuous function in bish is 
practically equivalent to the fan theorem.)

friendly greetings,

frank


----- Original Message ----- 
From: <hendrik at topoi.pooq.com>
To: <fom at cs.nyu.edu>
Sent: Friday, March 24, 2006 3:11 PM
Subject: Re: [FOM] Classical/Constructive Arithmetic


> On Thu, Mar 23, 2006 at 11:18:22AM +0100, S. Spijkerman / F. Waaldijk 
> wrote:
>>
>> ... the definition of `continuous
>> function' in bish is somewhat problematic. i would like very much for 
>> people
>> to appreciate these problems, so i repeat the link to my math page:
>> http://home.hetnet.nl/~sufra/mathematics.html and hope that you will find
>> time to ponder on these issues.
>
> Let me point out that the issues are discussed in his PhD thesis, at
> http://home.hetnet.nl/~sufra/modern%20intuitionistic%20topology.pdf
>
> His math page links to it, but doesn't make it clear that that's where
> to find the problems with contiuity.
>
> -- hendrik
>
>
>