Belief versus Knowledge

[pka]

From this thread:

(x-4)(x-5)=0
x=4 x=5
Why do students need to believe that all the solutions? not more!
(x-2)(x-3)(x-5)(x+10)=0
x=2 x=3 x=5 x=-10
Why do students need to believe that all the solutions? not more!

Students do not have to believe anything. Belief is for the dim-witted.
Students are expected to know that any number times zero is \(\displaystyle 0\).
And to know that if \(\displaystyle x\ne 0\) but \(\displaystyle x\cdot y=0\) then \(\displaystyle y=0\).
Moreover, if \(\displaystyle x\cdot y\ne 0\) then neither \(\displaystyle x\) nor \(\displaystyle y\) can be zero.
These are fundamental properties of numbers that students are required to know.
Any really qualified teacher makes sure students know in order to understand.
Belief is not a concept in science.

 

[lookagain]

Students do not have to believe anything. Belief is for the dim-witted.
[*]

Belief is not a concept in science.[**]

Wrong. People who make umbrella statements about people having beliefs being dim-witted
are themselves dim-witted.

 

[pka]

Wrong. People who make umbrella statements about people having beliefs being dim-witted are themselves dim-witted.

You certainly know about being dim-witted.

 

[lookagain]

You certainly know about being dim-witted.

Yes, I certainly know about being dim-witted, because I have studied many
of your responses on the forum where you "run hot and cold."
You're a formally-educated "idiot."

And you have no business trying to impose your cult that everyone with beliefs
is dim-witted to users on here.

Stop talking about subjects of which you're too ignorant.

 

[Bob Brown MSEE]

I love math humor!

lol

 

[Otis]

Some things never change.