On Wed, Jun 12, 2013 at 12:35 PM, Bruno Marchal <[email protected]> wrote:
>
> On 12 Jun 2013, at 11:20, Telmo Menezes wrote:
>
>> 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?
>
>
> You will not help John!

I know, couldn't resist :)

> But the problem with your answer, is: what  do you mean by "elephant". On
> that smaller planet elephant might be called "bird".

Well, maybe something that triggers the classification of "elephant"
on a majority of human brains? Something that looks like this:
http://i249.photobucket.com/albums/gg237/unbelivablybored/Montagebilledecopy.jpg

> Can a dinosaur fly? Yes, they are called bird, but they are descendent of
> dinosaurs. But here some genomic can be invoked for establishing  some
> identity or parental relation.
>
> With enough "IF" you can deduce what you want. If some dictator renamed the
> bird as "elephant", then surely elephant can fly.
>
> Bruno
>
>
>
>
>
>
>>
>> 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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>>>
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> http://iridia.ulb.ac.be/~marchal/
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