axiomatics

[adriano paolo shaul gershom palma]

Dear Dr Shipman you may find the relevant quotes , not the names fo
authors,  following, e.g., --108 & ff of Giancarlo Rota.
I include the book as edited by Palombi for Birkhauser.

best regards


may


Quatsch wird gelöscht, ohne gelesen zu werden







הִשְׁתַּדֵּל‎   הִזְדַּקֵּן‎













palma,  a paolo shaul םֹשׁ ְרֵגּ‎









On Thu, Apr 23, 2020 at 7:56 AM Joe Shipman <joeshipman at aol.com> wrote:

> I would appreciate either links or quotes. All people are giving me is
> names.
>
> — JS
>
> Sent from my iPhone
>
> On Apr 23, 2020, at 1:50 AM, adriano paolo shaul gershom palma <
> palmaadriano at gmail.com> wrote:
>
> 
> Dear Dr Shipman
> you may find a wealth of remarks critical of axiomatic methods
> in the works of Giancarlo Rota (MIT.)
> While I am unsure whether Rota ought to be categorized as philosopher or
> mathematician or both.
>
>
>
> Best
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
> Quatsch wird gelöscht, ohne gelesen zu werden
>
>
>
>
>
>
> Kerem jojjenek maskor es kulonosen masho
>
>
>
>
>
> הִשְׁתַּדֵּל‎   הִזְדַּקֵּן‎
>
>
>
>
>
>
>
>
>
>
>
>
>
> palma,  a paolo shaul םֹשׁ ְרֵגּ‎
>
>
>
>
>
>
>
>
>
> On Wed, Apr 22, 2020 at 11:23 PM Antonino Drago <drago at unina.it> wrote:
>
>> D. Kant: “On the other hand, some philosophers also argue that the
>> axiomatic view on mathematics may be harmful in that it omits fundamental
>> aspects of mathematical practice and idealizes mathematical reasoning in an
>> unfaithful way.”
>>
>>
>>
>> Which philosophers? I’m interested in any references you have on this
>> topic.
>>
>> Joe Shipman
>>
>>
>>
>> Take for example Jean Le Rond D’Alembert “Elémens” in Encyclopédie
>> Française :  a « rational » theory leaves always some « holes »(trous)
>>
>> Lazare Carnot  Essai sur les machines en général ; pp. 105-106
>>
>> A century ago Lorentz, Poincaré and Einstein contrasted two kinds of
>> theories, as Flores illustrated: Flores, F. (1999). Einstein’s Theory of
>> Theories and Types of Theoretical Explanation. International Studies in
>> Philosophy of Science, 13, 123-134.
>> https://doi.org/10.1080/02698599908573613.
>>
>> In my opinion, axiomatic theories cannot represent theories based on the
>> search of a new method for solving a basic problem (as e.g. is Kolmogorov
>> ’s paper of 1924-25, or Markov’s paper on constructive mathematics 1971).
>>
>> Best regards
>>
>> Antonino Drago
>>
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: </pipermail/fom/attachments/20200423/4486093a/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Indiscrete Thoughts by Gian-Carlo Rota (auth.), Fabrizio Palombi (eds.) (z-lib.org).pdf
Type: application/pdf
Size: 2993432 bytes
Desc: not available
URL: </pipermail/fom/attachments/20200423/4486093a/attachment-0001.pdf>