Exactly, what about all the models of all the worlds that follow different
axioms? Those can possibly exist, thus they must. "What is not impossible,
On Mon, Jan 20, 2014 at 12:55 AM, meekerdb <meeke...@verizon.net> wrote:
> On 1/19/2014 4:18 PM, LizR wrote:
> On 20 January 2014 10:39, meekerdb <meeke...@verizon.net> wrote:
>> On 1/19/2014 1:26 PM, LizR wrote:
>> On 20 January 2014 08:56, meekerdb <meeke...@verizon.net> wrote:
>>> On 1/18/2014 7:38 PM, LizR wrote:
>>> Or it could be because we, denizens of this physics/universe, invent
>>>> Why would that make it effective, though? After all we also invented
>>> fairy tales, and conspiracy theories, and religion, and...)
>>> And those fairy tales were effective too - up to a point. "Don't sleep
>>> near the swamp because the night demons will make you sick.", probably
>>> saved a lot of people from malaria.
>> Fairy tales and religion "work", in this sense (when they do - there's
>> a lot of nonsense invented by humans, too!) because they encode knowledge
>> about the world. So why does maths work? If it encodes knowledge about the
>> world, where does that information come from?
>> It doesn't encode knowledge about the world. It encodes relations
>> between sentence, i.e. axioms=>theorems. With suitable interpretation we
>> can use it to model the world (and evolution hardwired this to some
>> degree): One apple and one orange makes two fruit. Two tennis players and
>> two basketball players make four players - oops, one of the tennis players
>> is also a basketball player, so it's only three players. Interpretation is
>> Why does it model the world (apparently to quite a lot of decimal
> places) if it's only relations between sentences?
> The modeling of the world is in our interpretation of it, a mapping from
> the observable world into mathematics, manipulation and inference, and the
> interpretation of the result as applying to the observable world. If it
> works to a lot of decimal places it means we've created a good model and
> the relations between sentences must correspond to some relation in the
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Stephen Paul King
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