Can it be the case that current mathematical notation is outdated and not expressive enough to tackle present problems in both pure mathematics and natural sciences?
Can it be the case that current mathematical notation is outdated and not expressive enough to tackle present problems...
It's not. Nobody serious has any problem with properly-written mathematics. Study harder. Make flashcards or something if you need to.
That's bullshit. Sure, it works, but saying that it is impossible to have a better notation is being blind. Notation has been continuously improving, and each iteration, each new notation makes it more instinctive to apply the rules of math.
Compare exponents notation in the 1000s to modern notation, for example.
Your post seems to suggest that our current notation is perfect, and that is ridiculous.
It's poorly designed garbage that has no consistency. We should write everything in terms of s-expressions instead of arbitrary symbols.
What is this, ancient egypt? Why should we have to invent new language mechanics for every single new mathematical concept? That's retarded.
What the fuck are you on about? I never claimed it was "perfect," nor did I claim it was "impossible to have a better notation." I said nobody who is actually within the field of mathematics has gripes with the current notation. We don't want your weird "I need this to be simpler" thing. Not something we are interested in. Nobody thinks grasping the notation is the hard part of advanced mathematics so nobody is going to focus their efforts on fixing what isn't broken
It's not a notation problem because mathematicians are allowed to come up with their own notation.
What does this actually mean? I can't google.
Notation in physics is often so messy like that because physicists need to do actual calculations.
You can easily write the SM Lagrangian in much cleaner notation.
if linguistic determinism phenomenon is real, then used notation/formalism shapes the way you perceive and think.
Many times, introducing new notation led to breakthrough in mathematics.
>I said nobody who is actually within the field of mathematics has gripes with the current notation
Reminder that pure math is the most close-minded and incestuous field academic study.