The reason this doesn’t work is because the “more” amd “less” competitors work on different things entirely. These are not mathematically correct statements in any way.
Yes. But it would be more correct to include what the “more” and “less” are comparing to so that it would be immediately obvious why the last sentences is wrong.
I think this is more so implying if-then statements rather than a literal mathematical representation:
If there is more cheese, then there is more holes.
If there is more holes, then there is less cheese.
Therefore, if there is more cheese, then there is less cheese.
Can’t imagine the weight of air inside the holes is significant compared to the weight of cheese; taking a glance at the numbers, cheese is 800-900x more dense than air. Given cheese is sold by weight, more holes = very slightly less cheese, practically negligible.
Now I’m curious about how much space a block of 99% holes cheese would occupy. Maybe something like aerocheese, with a whole bunch of microscopic air bubbles throughout.
Also wrong. There’s an implied “than <other object>”. For the first one it’s “than a smaller piece of cheese with the same ratio of holes” and the second is “than a piece of cheese of the same size”.
The reason this doesn’t work is because the “more” amd “less” competitors work on different things entirely. These are not mathematically correct statements in any way.
The sequence is completely correct until the point it decides that
more ◦ less ≡ less.Yes. But it would be more correct to include what the “more” and “less” are comparing to so that it would be immediately obvious why the last sentences is wrong.
I think this is more so implying if-then statements rather than a literal mathematical representation:
If there is more cheese, then there is more holes. If there is more holes, then there is less cheese. Therefore, if there is more cheese, then there is less cheese.
The assumption that cheese has holes is not true. Many times I come home with cheese with no holes.
Yup! The first premise is wrong, since there is plenty of cheese without holes—meaning that more cheese does not imply or equal to more holes.
Can’t imagine the weight of air inside the holes is significant compared to the weight of cheese; taking a glance at the numbers, cheese is 800-900x more dense than air. Given cheese is sold by weight, more holes = very slightly less cheese, practically negligible.
Now I’m curious about how much space a block of 99% holes cheese would occupy. Maybe something like aerocheese, with a whole bunch of microscopic air bubbles throughout.
Also wrong. There’s an implied “than <other object>”. For the first one it’s “than a smaller piece of cheese with the same ratio of holes” and the second is “than a piece of cheese of the same size”.