On 30 Jun 2017 16:38, "Bruno Marchal" <[email protected]> wrote:


On 29 Jun 2017, at 17:26, David Nyman wrote:



On 29 Jun 2017 15:58, "Bruno Marchal" <[email protected]> wrote:


On 28 Jun 2017, at 16:03, John Clark wrote:

snip

>> Unicorns don't exist,
>
>

>In which theory?


Oh for christ's sake! This is really getting silly, now existence depends
on theories.



Of course not.


But *asserting* an existence depends on a theory or belief of some subject
doing the assertion.

 For example, you just said to Adrian Chira: "Assuming there is a largest
prime number leads to a logical contradiction, but assuming free will
exists is like assuming Klogknee exists."

But Robinson Arithmetic, a weak but already sigma_1 complete theory (and
thus Turing universal) is consistent with "there is a biggest prime
number". You can add that axiom to RA without getting any contradiction.
You were probably assuming Peano Arithmetic (which is Robinson arithmetic +
the induction axiom), or you were assuming the standard model of arithmetic
(which is a much stronger assumption than the axioms of PA).

Except for the here-and-now 1p experience (consciousness), all existence
assertions presupposes some belief, that is, an unconscious or a conscious
theory.

And the unicorn certainly exists. It is the national animal of Scotland!


On the contrary, as a proud Scot, I can assure you that the national animal
of Scotland is the haggis.


Well ...
Definitions of haggis
noun
a Scottish dish consisting of a sheep's or calf's offal mixed with suet,
oatmeal, and seasoning and boiled in a bag, traditionally one made from the
animal's stomach.
Modern haggis generally has beef suet rather than mutton fat, and cayenne
pepper or nutmeg are usual additions.

This is a merely reductive account that sweeps the true origin of the
haggis under the rug.

It is certainly more nutritive than a steak of unicorn (if that is legal).


It depends on the theory you're eating in.

David


Bruno








David


Bruno







John K Clark


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http://iridia.ulb.ac.be/~marchal/




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