Comment on Menger cheese = string cheese
SethranKada@lemmy.ca 3 days ago
Im bored and tired, so im going to write my reasoning out as I attempt to fall asleep.
More cheese = more holes
More cheese (volune) = more holes (volume)
More holes (percentage) = less cheese (percentage)
This cheese is refering yo the material, where the first is referring to the object. Different variables entirely. The first is a group that explicitly includes holes, while the latter explicitly doesn’t.
More cheese (volume) = less cheese (percentage)
Idk man im tired.
Here’s how I think is the best way to word it:
There are really two types of “more holes”
The first is the number of holes. Double the volume of cheese and you double the number of holes.
The second is the density of holes. Say the cheese has 1 hole per cubic inch. Double it to 2 holes per inch and you have twice the empty volume
The first phrase increases the number of holes by merely increasing the volume of cheese.
The second phase increases the number of holes by increasing their density.
Cheese is parceled out by weight, so holes are irrelevant.
cryoistalline@lemmy.ml 3 days ago
its because the meme sneakily saying more holes (volume) = more holes (percentage), then using transitivity of equality. This equality isn’t allowed since the units doesn’t match.