Quickly compared to physics we have this domain called particle physics and the deepest Theory we have in particle physics is called the
standard model which describes all of the different fundamental particles that there are and the interactions between these fundamental particles the forces that exist between them and the gauge bosons which mediate the force between particles like electrons protons and neutrons.
Now, what is matter made of we would say matter is made of these particles the particles
describe it by the standard model of physics.
But
does that rule out the fact that these fundamental particles might themselves consist of even smaller
particles? We have this idea of string
theory so our knowledge of what the most fundamental
particles are and what in reality the most fundamental particles are is different.
So to in mathematics Deutsch explains that mathematics is a field where what we're trying to
uncover is necessary truth.
The subject matter of mathematics is necessary.
Earth in the same way that the subject
matter of particle physics are the fundamental particles, but because
the subject matter of
fundamental particle physics are the fundamental
particles. That doesn't mean you actually find the fundamental
particles. All it
means is that you have found the smallest particles that your biggest
particle accelerators able to resolve
but if you had an even bigger particle accelerator, you might find particles within those particles. This has been the history of particle physics, by the way,
we used to think that atoms were fundamental then of course, we found that they contain nuclei and electrons.
In the nuclei we found out there were protons and neutrons inside the protons and neutrons we found out they were made up of quarks. And that's where we're at. Right now. We're at the point where we say that the quarks a fundamental and the electrons are fundamental, but that
doesn't mean that we're going to end particle physics right now. What we need are
further theories about what might be inside of those really small particles
comparing that to mathematics if necessary
truth is the subject matter of
mathematics our knowledge all of that necessary.
Is is what mathematicians are engaged in their engaged in creating knowledge about necessary truth?
And because a mathematician has a brain
which is a physical object and all physical objects are subject to making errors of degradation via the second law of Thermodynamics
or simply just the usual mental mistakes and errors that any human being makes a mathematician is just
as fallible as anyone else
then what they end up proving could
be an error so
So if a understand this point even mathematics is capable of error because mathematics is a creative act. We're never quite done. There could have been a mistake in your Axiom somewhere ultimately even mathematics the creative act and can have error within it.
