On 14 January 2014 13:25, Stephen Paul King <stephe...@provensecure.com>wrote:
> On Mon, Jan 13, 2014 at 7:12 PM, LizR <lizj...@gmail.com> wrote:
>> On 14 January 2014 13:04, Stephen Paul King
>>> Dear LizR,
>>> What would happen is mathematics did not amazingly match up with the
>>> patterns of phenomena of the physical world? Think about it. We expect a
>>> model of a system to match that system as best possible, so what is magical
>>> about symbolic representational systems that obey rules?
>> The "magical thing" is that it isn't a model of the real world, but
>> nevertheless, models of the real world can be built using it.
> Umm, I was not complaining that math isn't a "model of the real world" -
> the one we can measure and communicate about, it is that we seem surprised
> that mathematical models created to explain some phenomena can almost
> always be extended beyond what is obvious in the data to make predictions
> of what we have not even looked at before. Dirac's prediction of positrons
> from the behavior of wave functions that obey SR come to mind.
> Why are we surprised that Nature is not a chaotic mess and has patterns
> and so forth that can be represented with symbols and rules to manipulate
> them. We are surprised when we see strange patterns emerge in Game of Life
> cellular automata. Why? I don't get the "surprise". Maybe I am just weird...
> Or more likely you're sane, and the rest of us are weird. No, that's a
good point. (I found arithmetical realism weird to start with, but it's
growing on me.)
>>> I somehow miss the amazement. Maybe because I have to actually study
>>> and understand the most arcane math ever imagined...
>> I can see that would help.
>>> Try this!
>>> I don't have time to read books very often. If you can give some
>> examples that illustrate your point, that would be helpful.
> NO NO! I didn't mean: "Here read this!" I meant, "jeez, look at the title
> of this book, WTF is that!" I have to study this and understand it.
>> Oh, I see. (Phew!) I can sympathise...
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