On Saturday, June 1, 2019 at 10:06:31 AM UTC+2, Bruno Marchal wrote:
>
>
> On 31 May 2019, at 22:27, Tomas Pales <[email protected] <javascript:>> 
> wrote:
>
> Existence is just the principle of logical consistency or identity. 
>
>
> Almost. Peano arithmetic is consistent with the proposition that Peano 
> arithmetic is inconsistent. Consistency is shown rather cheap, and far away 
> from Truth, which is the key notion, but of course not a very obvious one. 
>
>
If PA is consistent, it exists. If PA is not consistent, it doesn't exist. 
But since PA is subject to Godel's second incompleteness theorem, we may 
never know, right?
 

Here I disagree. 17 is very concrete. It the successor of 16, which is very 
> concrete, etc. With mechanism, 0, 1, 2, 3, … are taken as the most concrete 
> “really existing” object. The moon, and yourself are extremely abstract 
> type, having only phenomenological existence.
>

This is what I mean by "abstract" and "concrete":

abstract: has instances/examples (is a property)

concrete: has no instances/examples (is not a property)

Number 17 has instances/examples in any collection of 17 objects (is a 
property of any collection of 17 objects). Therefore number 17 is an 
abstract object.

Our moon has no instances/examples (is not a property of any object, just 
as Bruno Marchal is not a property of any object). Therefore our moon is a 
concrete object.







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