So we're ignoring "I a'm"?
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God I hated questions like this in school. There's always something specific the teacher is looking for, but nothing to point you towards it.
Usually the pointer is the blahblah the teacher was droning while you were fantasizing about the attractive classmate sitting directly in front of you
I suppose “by definition” would probably have been counted as wrong
I'm thinking maybe "Because if you subtract 40 from my number you get a negative number," but I could be either over- or under-thinking it.
I was guessing either it has fewer digits or the tens digit is less than 4 would be the desired answers depending on what the selected number was, that kind of question feels like it would predate negative numbers on the learning curve
Yeah, I always felt like I was either pointlessly restating the obvious or it expected me to derive the damn thing from first principles.
AI slop proof, just because I was curious if duck.ai could do it
Using the natural numbers defined from 0 by the successor operation S:
1=S(0), 2=S(1), ... , 20=S^20^(0), 40=S^40^(0)
Define a < b to mean that there exists a natural number k such that
a+k=b.
Take a=20 and k=20. By repeated addition,
20+20=40.
Since 20 is a natural number, there exists a natural number k such that
20+k=40.
Therefore, by the definition of the ordering relation,
20<40.
(Is it correct? Fuck if I know!)
Because that's how numbers work, duh.
What's the expected answer? "Because 2 is less than 4"? Could be "because 20 + 20 = 40" but that seems to be too advanced for these types of tests.
The question is intended to create an existential crisis and gaslight the pupils. How can anyone truly know anything?
Seriously this question can only be properly answered with Russel & Whitehead
Probably a number line? Draw a line to show it's only 2 jumps to 20 but 4 equally spaced jumps to 40.
As a teacher that's what I would've done at least. Number lines are quite effective at helping kids visualize numbers.
This response doesn't seem to indicate this particular teacher has adequately explained what the expected answer is though.
The teacher is probably looking for something like "Because 40-20 is positive".
"Because 20 - 40 is negative."
"Because ln(20/40) is negative."
Because the set of numbers including 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 contains a greater amount of numbers than the set of numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
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