On Mon, Jun 28, 2021 at 8:50 AM Jason Resch <[email protected]> wrote:

> On Sun, Jun 27, 2021, 5:38 PM Bruce Kellett <[email protected]> wrote:
>
>> On Mon, Jun 28, 2021 at 12:10 AM Tomas Pales <[email protected]>
>> wrote:
>>
>>> On Sunday, June 27, 2021 at 2:30:56 PM UTC+2 Bruce wrote:
>>>
>>>>
>>>> Our confidence that the sun will rise tomorrow is not based on any
>>>> induction from a large number of previously observed sunrises.
>>>>
>>>
>>> What is it based on then?
>>>
>>
>>
>> Essentially on the law of conservation of angular momentum, coupled with
>> our detailed knowledge of the structure and dynamics of the solar system.
>> Besides, the sun will not rise tomorrow in Antarctica.
>>
>
> What is your assumption that the conservation of angular momentum will
> continue to hold throughout the night based on?
>


Largely on symmetry. The conservation of angular momentum is related, by
Noether's theorem, to the isotropy of space -- largely its rotational
symmetry. One can have confidence in the continuation of angular momentum
conservation because there is nothing in prospect that will spoil this
symmetry -- the rotational invariance of space.

You cannot, of course, rule out the idea that the universe will suddenly
become random, and symmetries will no longer obtain. If you want to worry
about that possibility, feel free, but don't bother me with your paranoia.

Bruce

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