On Friday, June 21, 2019 at 6:22:06 AM UTC-5, Bruno Marchal wrote:
>
>
> On 20 Jun 2019, at 19:42, Philip Thrift <[email protected] <javascript:>> 
> wrote:
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>
>
> On Thursday, June 20, 2019 at 12:32:20 PM UTC-5, Philip Thrift wrote:
>>
>>
>>
>> On Thursday, June 20, 2019 at 10:28:14 AM UTC-5, Bruno Marchal wrote:
>>>
>>>
>>> On 20 Jun 2019, at 12:52, Philip Thrift <[email protected]> wrote:
>>>
>>>
>>>
>>> *Logic is mere heuristics.*
>>>
>>>
>>> I don’t understand this. 
>>>
>>> Logic is a branch of mathematics, which can be used correctly or 
>>> incorrectly, like all branches of mathematics.
>>>
>>> In that branche, we study many different sorts of logics, like in 
>>> Algebra we study many different sorts of algebraic systems.
>>>
>>>
>>> It is not Holy Writ the LORD God wrote into Stone Tablets.
>>>
>>>
>>>
>>> Of course. Especially that there are a lot of Logics. But in computer 
>>> science and in math we use classical logic, not because it would be more 
>>> true, but because it is simpler, even to explain the non classical logics, 
>>> that we might need in some domain.
>>>
>>>
>>> Bruno
>>>
>>>
>>>
>>
>> *Logic is a branch of mathematics* [correct], and mathematics is a genre 
>> of fiction. 
>>
>> @philipthrift
>>
>
>
>
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> Isn't it odd [back to the Topic] that some think that the Bible and Qur'an 
> are (texts in a genre of) fiction, but mathematical texts are not?
>
>
> The bible suggests that PI is equal to 3. 
>
> Measurement, or calculation suggests that PI is bigger than 3. Reflexion 
> and reasoning explains that PI is not rational, nor algebraical, etc.
>
> I understand that mathematics is concerned with immaterial things. Calling 
> them fiction a priori beg the question of the Aristotelian/platonic divide. 
> Fiction usually refer to false, and so might be abusive in this context.
>
> Bruno
>
>
>
It seems like a funny term to apply. Hartry Field [1] introduced it as a 
"philosophy of mathematics", and Mark Balaguer [2] gave it prominence in a 
book and the SEP.

*Fictionalism* is the most pragmatic alternative to *Platonism* (as 
Balaguer argues). One can  be a constructivist or formalist in some way, 
but fictionalism leaves all of mathematics intact, except for its semantics.

[1] https://as.nyu.edu/content/nyu-as/as/faculty/hartry-field.html
[2] http://www.calstatela.edu/faculty/mark-balaguer

@philipthrift


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