In the first place, what must be assumed about a phenomenon such that a number can be assigned to it? The phenomenon must be assumed to have a qualitative core that remains the same while we count increments of change within it — Joshs
For
my understanding of a mathematical universe, the qualitative is emergent from the quantitative when a mind interprets it, baggage, which the human mind is full of. Numbers are not assigned to things, but they are all that things are, and our scientific theories seem to support this to a certain extent. Fundamental particles are in fact a collection of numbers, among which mass, electric charge, isospin, weak hypercharge, spin, lepton number. You may say these are the qualitative core(s), but that is a simple rebuttal that suffers from the same gaps as just stopping at the fact that they are quantitative.
But what if the quality we label as ‘this ball’ never persisted from one moment to the next as the same qualitative thing? — Joshs
Ball would be a human label (baggage) emerging from a collection of things (atoms and such). It is always changing as everytime it bounces it loses atoms off its surface, but then we end up not in metaphysics but in a discussion of semantics —
what is a chair?
What poststructuralist authors argue is that it is only by abstracting away, that is, by not noticing, the continual qualitative changes in the substrates of our counting that we end up with a universe of objects which appear to behave mathematically. — Joshs
Π: I imagine what poststructuralists think we are not noticing qualitatively about electrons or photons
specifically.
The most insidious manner of forgetting is the progressive "repetition" of the same. One says the same with a constantly new indifference; the mode of saying and interpreting changes.
Everytime we think about A, A is different from the previously thought A. A only exists as it is different from B. These are useful ways of thinking about our cognition. But a lot of philosophy relies on the validity of the idea of repetition and of identity. We can throw those out at a very fundamental level, but at some point we will have to grant them if we want to progress.
There is no such thing as tissues, just a collection of cells that are made of molecules. Yes, but we can't derive biological laws from chemical laws due to the sheer complexity and also to possible emergent features. We
must grant that there is such a thing as tissues if we want to come up with medicine.
a behavior the requires a non-numeric language in order to understand it. The need for this language, and its advantages over mathematical forms of description become more clear in the social sciences than in the natural sciences. This is not because we understand these phenomena less well than we do the physical realm. — Joshs
A very big issue with that view is that you
could say sociology comes from psychology, which comes from neurology, which... from physics. But you
can't say the converse, that physics comes from biology or that chemistry from neurology. The more derivative a field is, the more baggage it has, specifically because it goes away from the foundations of the universe. Another issue is that sociology and psychology are very unreliable (papers have very low reproducibility) while physics is almost always reliable.
You likely will not agree with any of this, but at least it may give you a better sense of why postmodernists have a bug up their ass about the mathematical grounding of science, truth as correctness and propositional logic. — Joshs
Oh no, I acquiesce to almost all of it, I just think that lots of it is playing the ultimate skeptic without providing a better framework to operate with; which is fair, but it does not stop us from making theories about the world around us. There is no such thing as qualities or quantities, as objects or science, as balls or speed, it is all derivative of the great Monad™ that is the Spinozean God, of which my solipsistic experience is a mode. Voilà, science is fake, and so are late Picasso's ugly paintings. Ok, but let's say all is not a Spinozean God...
The poststructuralist can claim all he wants ("every change in degree is simultaneously a difference in kind"), but until he proves Π, I can just ignore him on this topic because it has explanatory power for me to do so. Mathematical universe is a theory about the universe, it takes our perceptions as they are, without doubting our modes of cognition as they appear, without taking phenomenology into account.