Re: math, is it just physics? (zero/infinity)

On 01/30/2025 06:57 PM, Ross Finlayson wrote:

On 01/30/2025 06:55 PM, Ross Finlayson wrote:

On 01/29/2025 02:46 AM, joes wrote:

Am Wed, 29 Jan 2025 09:48:47 +0100 schrieb WM:

On 28.01.2025 21:56, sobriquet wrote:

>
So in a way one could claim that concepts like integers and their
properties and relationships can be more or less empirically observed
in the behavior and properties of things like elementary particles
such
as electrons or fields.

Or bricks, marbles, people etc. The natural numbers have been
abstracted
from reality. The laws like "the existence of n implies the
existence of
n+1" were so evident, that no axioms appeared necessary before
Dedekind,
Peano, Schmidt etc. Only Cantor's assumption of an actual set with |ℕ|
being a fixed quantity greater than all numbers is not abstracted from
reality.

Oh PLEASE show me something physically infinite.
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0 m/s = ? s/m, ..., ?
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https://www.youtube.com/watch?v=EyWpZQny5cY&list=PLb7rLSBiE7F4eHy5vT61UYFR7_BIhwcOY&index=16
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So, "zero meters per second is infinity seconds per meter".
There's also that in any change of motion, there are
infinitely-many higher orders of acceleration,
nominally both non-zero and vanishing.
Then, there's that if there were finitely-many particles,
then relations among those are also physical objects,
as are those as are those ad infinitum.
Of course most usual field theories have
that there's a continuous manifold, and
there's no real shortest distance or
there are either no straight lines or
no right angles, which would be absurd.
So, the infinite abounds in physics.
Of course, the regular singular points of
the hypergeometric are well-known as
zero, one, and infinity, and this quite
before ordinary Russell's retro-thesis.
Anyways, infinity abounds in physics.