ll
>> wrote:
>>
>> We can think of infinitesimals as a manifestation of Gödel's theorem with
>> Peano number theory. There is nothing odd that is going to happen with this
>> number theory, but no matter how much we count we never reach "infinity."
>>
On Monday, November 11, 2019 at 3:28:05 AM UTC-6, Bruno Marchal wrote:
>
>
>
> Personally, despite I am logician, I don’t really believe in non standard
> analysis. I find the Cauchy sequences more useful, and directly
> understandable (the “new” infinitesimal requires an appendix in either
>
> On 10 Nov 2019, at 20:09, Lawrence Crowell
> wrote:
>
> On Sunday, November 10, 2019 at 6:17:10 AM UTC-6, Bruno Marchal wrote:
>
>> On 9 Nov 2019, at 02:22, Lawrence Crowell > > wrote:
>>
>> We can think of infinitesimals as a manifestation of Gödel
On Sunday, November 10, 2019 at 1:09:41 PM UTC-6, Lawrence Crowell wrote:
>
> On Sunday, November 10, 2019 at 6:17:10 AM UTC-6, Bruno Marchal wrote:
>>
>>
>> On 9 Nov 2019, at 02:22, Lawrence Crowell
>> wrote:
>>
>> We can think of infinitesimals
On Sunday, November 10, 2019 at 6:17:10 AM UTC-6, Bruno Marchal wrote:
>
>
> On 9 Nov 2019, at 02:22, Lawrence Crowell > wrote:
>
> We can think of infinitesimals as a manifestation of Gödel's theorem with
> Peano number theory. There is nothing odd that is going to
> On 9 Nov 2019, at 02:22, Lawrence Crowell
> wrote:
>
> We can think of infinitesimals as a manifestation of Gödel's theorem with
> Peano number theory. There is nothing odd that is going to happen with this
> number theory, but no matter how much we count we nev
We can think of infinitesimals as a manifestation of Gödel's theorem with
Peano number theory. There is nothing odd that is going to happen with this
number theory, but no matter how much we count we never reach "infinity."
We have then an issue of ω-consistency, and to comple
*Leibniz's Infinitesimals: Their Fictionality, Their Modern
Implementations, And Their Foes From Berkeley To Russell And Beyond*
https://arxiv.org/abs/1205.0174
*Infinitesimals, Imaginaries, Ideals, and Fictions*
https://arxiv.org/abs/1304.2137
*Leibniz vs Ishiguro: Closing a quarter-ce
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