General > General Technical Chat
Integers, Pi, and Number Lines.
tom66:
A number being irrational does not make it non-existent. It simply means no fraction exists to represent it. Do you claim that Pi can be represented with a fraction precisely?
If so, you either have the greatest mathematical breakthrough known to man (and can surely supply proof upon request) -- or you're wrong.
I'm betting the latter is true, but please, FEEL FREE to show us your Pi fraction. Be aware that Pi has been calculated to over 100 trillion digits now, and therefore any such fraction is liable to be rather large.
magic:
--- Quote from: SiliconWizard on June 30, 2022, 09:10:05 pm ---When you see that: https://equitablemath.org/
everything becomes possible.
--- End quote ---
50% of that stuff is actually common sense if you replace "racism" with "poverty", but it's written like that because the latter wouldn't sell nearly as well in America's egalitarian fundamentalist environment.
50% is promoting the mental gymnastics concept of "PoC" which enables them to excuse dumbasses with the fact that some tribe in some remote forest did something differently and it simply is unreasonable to expect "PoC" to learn things the Eurasian way (which they call "European" and "white" due to their own internalized white supremacy bias).
50% is ignoring the reality that a teacher's first job in a pathological school is keeping the kids from putting a trash can on his head and maths always comes second to that.
Case in point, right from the 1st PDF:
--- Quote ---• Classroom Activity: Learn about different bases and numerical ideas: Base 2, binary and connections to computer programming, how the Yoruba of Nigeria used base 20, and how the Mayans conceptualized the number 0 before the first recording of it.
--- End quote ---
Yep, "don't worry, base 10 is just a special case of base N" :-DD
Peter Taylor:
--- Quote from: Nominal Animal on June 30, 2022, 06:55:54 pm ---Even though $$\varphi = \frac{1 + \sqrt{5}}{2}, \quad \psi = \frac{1 - \sqrt{5}}{2}$$ are irrational numbers, I can calculate the number \$F_n\$,
$$F_n = \frac{\varphi^n - \psi^n}{\varphi - \psi} = \frac{\varphi^n - \psi^n}{\sqrt{5}}$$
for any positive integer \$n\$ without ever calculating any kind of an approximation for \$\varphi\$ or \$\psi\$.
...
--- End quote ---
"Square root 5" is an unevaluated question: "What number multiplied by itself equals 5" ?
So the result of your formulae is also unevaluated.
An evaluated number is an integer. "Square root 5" is a question. It can't be evaluated as an integer.
Its a question that has no answer because we can only know integers.
tooki:
Honey, you can’t just go around making up your own rules and definitions about mathematics. :palm:
tom66:
Saying sqrt(5) has no solution is like saying 1/5 has no solution because you need to evaluate the fraction to calculate the decimal value.
:horse:
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