This might be relevant to some other mailing lists as well.

> Anfang der weitergeleiteten Nachricht:
> 
> Von: Ken Kubota <m...@kenkubota.de>
> Betreff: Aw: [isabelle] New in the AFP: Eudoxus Reals
> Datum: 4. November 2023 um 03:34:06 MEZ
> An: "Prof. Lawrence C. Paulson" <l...@cam.ac.uk>
> Kopie: isabelle-users <cl-isabelle-us...@lists.cam.ac.uk>
> 
> I have to say that I find it inappropriate to continue with routine work 
> currently.
> 
> The New York U.N. representative wrote concerning Gaza: "This is a text-book 
> case of genocide.“
>       
> https://www.documentcloud.org/documents/24103463-craig-mokhiber-resignation-letter
> 
> This is confirmed by brilliant analysts such as the former CIA analyst Ray 
> McGovern:
>       
> https://odysee.com/@SputnikInternational:c/New-Rules-Ray-McGovern:f?t=100
> 
> Doesn’t the University of Cambridge officially condemn this act of genocide?
> 
> While generally science should be autonomous to a certain degree, there are 
> limits.
> Particularly in times where public protests effectively can make a difference.
> 
> Bertrand Russell wasn’t indifferent:
>       https://sonar21.com/lord-bertrand-russells-on-israels-miscalculation/
> 
> Some more information is provided below.
> 
> ____________________________________________________
> 
> Ken Kubota
> https://doi.org/10.4444/100
> 
> 
> 
> Links:
> 
> https://marlene.hilsenrath.de/blog/gaza-genocide/
> 
> https://www.mintpressnews.com/craig-murray-israel-genocide-gaza-regional-war-unavoidable/286129/
> https://odysee.com/@SputnikInternational:c/New-Rules-Ray-McGovern:f?t=100
> https://www.ohchr.org/en/press-releases/2023/10/gaza-un-experts-decry-bombing-hospitals-and-schools-crimes-against-humanity
> https://rumble.com/v3r6kw7-judge-napolitano-judging-freedom-ray-mcgovern-blinken-goes-berserk.html?start=468
> https://rumble.com/v3poopd-judge-napolitano-judging-freedom-us-aid-is-destroying-ukraine.-w-ray-mcgove.html?start=588
> https://odysee.com/@LandDestroyer:8/the-2009-us-plan-for-iran-war-sees-new:d
> https://www.youtube.com/live/iq1SjC7u8l0?t=126
> https://www.sevimdagdelen.de/toedliche-doppelmoral/
> https://www.documentcloud.org/documents/24103463-craig-mokhiber-resignation-letter
> 
> 
> From: https://www.tiktok.com/@marlenehilsenrath/video/7297390486308818208
> 
> 
> 
>> Am 01.11.2023 um 17:45 schrieb Lawrence Paulson <l...@cam.ac.uk>:
>> 
>> I am happy to announce a new AFP entry, by Ata Keskin:
>> 
>>> Eudoxus Reals
>> 
>>> Similar to the classical method of Dedekind cuts, our approach starts from 
>>> first principles. However, unlike Dedekind cuts, Eudoxus reals directly 
>>> derive real numbers from integers, bypassing the intermediate step of 
>>> constructing rational numbers. This construction of the real numbers was 
>>> first discovered by Stephen Schanuel. Schanuel named his construction after 
>>> the ancient Greek philosopher Eudoxus, who developed a theory of magnitude 
>>> and proportion to explain the relations between the discrete and the 
>>> continuous. Our formalization is based on R.D. Arthan's paper detailing the 
>>> construction. For establishing the existence of multiplicative inverses for 
>>> positive slopes, we used the idea of finding a suitable representative from 
>>> Sławomir Kołodyńaski's construction on IsarMathLib which is based on 
>>> Zermelo-Fraenkel set theory. Up to this date, our formalization is the only 
>>> construction of Eudoxus reals which is based on HOL.
>> 
>> Curiously enough, I've wanted to see this sort of construction for several 
>> decades. NG de Bruijn once mentioned to me his own construction of the real 
>> numbers without the rationals:
>> 
>> N.G de Bruijn,
>> Defining reals without the use of rationals,
>> Indagationes Mathematicae Volume 79, Issue 2, 1976,
>> https://doi.org/10.1016/1385-7258(76)90055-X.
>> 
>> Interesting references in that paper, too. So thanks to Ata!
>> 
>> Anyway, the entry is online at 
>> https://www.isa-afp.org/entries/Eudoxus_Reals.html
>> 
>> Larry Paulson
>> 
>> 
>> 
> 

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