On Wed, Jun 12, 2013 at 11:17 AM, Bruno Marchal <[email protected]> wrote:
>
> On 11 Jun 2013, at 23:18, John Mikes wrote:
>
> Laughing stock: how can so many excellently educted and smart(est)
> scientists SERIOUSLY debate on farces like flying pink elephants?
>
>
>
> Those are test cases, extreme case, to argue more easily on the question of
> existence, which is not obvious.
> Of course we are not discussing on the existence of flying elephants at all.

Maybe on a smaller planet with less gravity or a denser atmosphere
flying elephants would be a viable evolutionary niche?

Telmo.

> Bruno
>
>
>
>
> JM
>
> On Tue, Jun 11, 2013 at 12:28 PM, meekerdb <[email protected]> wrote:
>>
>> On 6/11/2013 12:51 AM, Bruno Marchal wrote:
>>>
>>>
>>> On 10 Jun 2013, at 20:04, meekerdb wrote:
>>>
>>>> On 6/10/2013 10:52 AM, Bruno Marchal wrote:
>>>>>
>>>>>
>>>>> On 10 Jun 2013, at 18:25, meekerdb wrote:
>>>>>
>>>>>> On 6/10/2013 12:19 AM, Telmo Menezes wrote:
>>>>>>>
>>>>>>> On Sun, Jun 9, 2013 at 2:40 PM, Bruno Marchal <[email protected]>
>>>>>>> wrote:
>>>>>>>>
>>>>>>>> On 09 Jun 2013, at 11:20, Telmo Menezes wrote:
>>>>>>>>
>>>>>>>>> On Sun, Jun 9, 2013 at 9:23 AM, Bruno Marchal <[email protected]>
>>>>>>>>> wrote:
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On 08 Jun 2013, at 17:55, meekerdb wrote:
>>>>>>>>>>
>>>>>>>>>> On 6/8/2013 1:02 AM, Bruno Marchal wrote:
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On 08 Jun 2013, at 05:15, meekerdb wrote:
>>>>>>>>>>
>>>>>>>>>> On 6/7/2013 4:00 PM, Stephen Paul King wrote:
>>>>>>>>>>
>>>>>>>>>> Yes, if there was a text of this it would be nice... I found this:
>>>>>>>>>> http://plato.stanford.edu/entries/fictionalism-mathematics/
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> A fictionalist account holds that some things are fictional, i.e.
>>>>>>>>>> don't
>>>>>>>>>> exist even though their complete description is self-consistent.
>>>>>>>>>> Everythingists apparently reject this idea. Platonists seem to
>>>>>>>>>> equate
>>>>>>>>>> 'true' with 'exists'.  If you believe 17 is prime you must believe
>>>>>>>>>> 17
>>>>>>>>>> exists.  I think this is wrong.  If you believe that a flying pink
>>>>>>>>>> elephant
>>>>>>>>>> is pink, must you believe a flying pink elephant exists?
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Flying pink elephants are pink and not pink. That's why flying
>>>>>>>>>> pink
>>>>>>>>>> elephant
>>>>>>>>>> can't exist.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> A pink elephant is pink by construction.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Exact. But the flying pink elephant are also not pink. By logic.
>>>>>>>>>> Or show
>>>>>>>>>> me
>>>>>>>>>> a flying pink elephant living on this planet which isn't not pink.
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Bruno, how are flying pink elephants any different from things that
>>>>>>>>> I
>>>>>>>>> remember but am not experiencing this very moment?
>>>>>>>>
>>>>>>>>
>>>>>>>> I add explanation. Here you describe two 1p events. They are
>>>>>>>> similar,
>>>>>>>> although I guess you don't have precise memory of having actually
>>>>>>>> seen a
>>>>>>>> Flying Pink Elephant in your life, except in cartoon or dreams.
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>>> For example, I've
>>>>>>>>> been to Brussels but I'm not there right now. Brussels is an
>>>>>>>>> abstraction in my mind, but I believe it's the capital of Belgium.
>>>>>>>>> That's part of the Brussels abstraction, in the same sense that
>>>>>>>>> being
>>>>>>>>> pink is part of the flying pink elephant abstraction. No?
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> I do not dispute that fact. Pink elephant are pink.
>>>>>>>>
>>>>>>>> But the pink elephant on this planet happens also to be brown
>>>>>>>> rampant worms.
>>>>>>>> And I'm afraid that is only a classical logician's joke.
>>>>>>>>
>>>>>>>> (x = Flying Pink Elephant) -> (x = Brown Rampant Worms) is true on
>>>>>>>> this
>>>>>>>> planet because (x = Flying Pink Elephant) is false for all x, on
>>>>>>>> this planet
>>>>>>>> (I think),
>>>>>>
>>>>>>
>>>>>>
>>>>>> But (x = Flying Pink Elephant) is false for all x,  is an empirical
>>>>>> proposition.
>>>>>
>>>>>
>>>>> I agree.
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>> Not one you can prove from arithmetic or logic.  But the point was
>>>>>> that true propositions, like "Flying pink elephants are pink" don't imply
>>>>>> the existence of anything; just like "17 is prime" doesn't imply the
>>>>>> existence of 17.
>>>>>
>>>>>
>>>>> But how do you formalize "flying pink elephant are pink" ?
>>>>>
>>>>> I am simpled minded, so I formalized it in a first order logical
>>>>> formula:
>>>>>
>>>>> if x is an elephant which is pink and which is flying then x is pink.
>>>>>
>>>>> This does not entail Ex( x = an elephant which is pink and which is
>>>>> flying)
>>>>>
>>>>> For the same reason that:
>>>>>
>>>>> "if x is a prime number, which is even, and bigger that 3" then x is
>>>>> bigger than 3"
>>>>>
>>>>> does not entail Ex(x = even prime number bigger than 3).
>>>>
>>>>
>>>> Actually it does.  Let y="x is a prime number which is even and bigger
>>>> than three".  Then, if y anything; in classical logic everything follows
>>>> from a contradiction.  But we were talking about the metalogical relation 
>>>> of
>>>> true/false and fictional/real.  I don't think two are parallel.  It's true
>>>> that 17 is prime - but it doesn't follow that 17 is real.  It's true that
>>>> Sherlock Holmes lived on Baker Street, but it doesn't follow that he
>>>> existed.
>>>
>>>
>>> The difference comes from the fact that in arithmetic e can prove Ex(x =
>>> 17), but we cannot prove in your "theory" that Ex(= Sherlock Holmes).
>>
>>
>> But "E" in those two propositions don't have the same meaning.  In the
>> first it means that the axioms of arithmetic imply there is an x=17.  In the
>> second it means there was person who had all or most of the characteristics
>> described in Conan Doyle's stories.
>>
>>>
>>>
>>>
>>>
>>>
>>>
>>>> Of course something described by a contradiction can't exist.  But a
>>>> contradiction is dependent on an axiomatic system.  So a pink elephant
>>>> doesn't exist, but "There is a pink elephant." is not a contradiction; it's
>>>> just a falsehood and it's not the case that everything follows from a
>>>> falsehood.
>>>
>>>
>>> It is the case that everything follows from a falsehood. (0=1) does
>>> implies everything.
>>
>>
>> In classical logic.  But logic is just supposed to formalize good
>> reasoning.  "There is a pink elephant." may mean no more than "That looks
>> like an elephant painted pink."  It's not an axiom of a formal system.  I
>> deliberately included "flying" because it makes the identification as
>> "elephant" problematic.  If we found an animal that looks like an elephant
>> painted pink, we'd certainly call it a "pink elephant".  But if we found an
>> animal that looked like an elephant with wings that could fly, we'd only
>> call it a "flying elephant" metaphorically.
>>
>> Brent
>>
>>>
>>> f -> q is a tautology. It is equivalent with ~f V p. that is with t V q.
>>>
>>> "p -> everything" in all words where p is false, even if there are worlds
>>> were p is true.
>>
>>
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> http://iridia.ulb.ac.be/~marchal/
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