Maths is utterly crucial to all sciences. It is the language needed to describe most knowledge.
Math is crucial to science yes.
But non-mathematical language is also critically necessary - and it and math are in a kind of symbiosis which doesn't always work out.
Regarding notions that every activity of every particle is predictable -
or every activity of every particle is not predictable ....
both notions would be false because of the word 'every' and false 'either or' dichotomoy.
'Some' is a much more realistic and applicable word in these contexts.
You seem to be making that up as you go along. Your words are incorrect in a key aspect. The "activity" of no particle is completely predictable. This is because of the Heisenberg uncertainty principle, which relates uncertainty in pairs of observables. As an important example, the less uncertain your knowledge of position, the more uncertain your knowledge of momentum. This results in growing uncertainty of position as time passes, so you can't even hang on to one (fairly) certain observable for long! And maths quantifies all that precisely, telling you exactly how uncertain knowledge is at any time after an observation. Vague words may be useful for intuition, but the maths is the way to describe the truth.The main reason we can ignore this is the macroscopic world is that particles get bound together. When they do the exact same uncertainty principle applies to the large bound objects, but large mass means that a given uncertainty in momentum is only a small uncertainty in velocity (simple maths), so we can almost ignore the uncertainty in the position of a large object.
I made up nothing.
This is another one of those 'arguing about something we agree about' things.
We've had several of them.
You said 'the activity of no particle is completeley predictable' ...
Did I say it was?
First - definition of the word 'particle'. And 'activity'. And possible ambiguity of 'every'.
Perhaps I could have specified 'somewhat'. With 'some' as part of somewhat.
Also - the two propositions were not original to my post.
You can look up through the posts to see where it came from.
And if you think the 'either or' is valid you could say so.
"Regarding notions that every activity of every particle is predictable -
or every activity of every particle is not predictable ...." is how I then put it.
Note that 'every activity of every particle is not predictable' ...
are you saying that no activity of any particle is predictable ...
are you sure?
Are you saying that no activity of any particle is unpredictable? Yes?
-----------
we seem to definitely agree about the falseness of 'every activity of every particle is predictable'
its not.
And I've mentioned as to that several times in recent months including with mentioning Heisenberg.
You forgot?
------------------
Depending on definitions of particle, activity, and predictable ...
some activities of some particles are not predictable.
In other words no false dichotomies in other words.
You seem to have missed that point too.
But that's all right. Its not earthshaking.

Elroch, how do you know so much? Seeing that this whole thread started 11 yrs ago and that you still actively participate....... I was just reading through it all and got a lot of new knowledge. I do hope it never gets locked and that you may post for days and even years to come