The essay appears to mix two different meanings of "hole".
Holes are a topological property of the slice of cheese. It's not scale invariant, as we're talking about holes on a human visible scale, not microscopic holes. The actual number is not fixed and may depend on the person doing the measuring.
I therefore don't see the need for "perforated", much less shape-predicates like "singly-perforated", "doubly-perforated" and "triply-perforated."
> For ‘hole’ read ‘bottle;’ for ‘hole-lining’ also read ‘bottle.’
Topologically speaking, a bottle doesn't have a hole, so this uses a different definition.
I think your definition still leaves the essence of the discussion in the same place: do topological properties "exist"? That's how I tend to blanket-interpret this debate; it's whether one is wiling to define existence to include things that aren't material.
This is a debate between grammarians, not logicians. Just because "hole" and "object" are both nouns doesn't mean they belong to the same logical category.
Holes might not really exist, but hollers definitely do, because that's where my papaw lived.
I thought at first that this would be Holes[0], a novel by Louis Sachar.
[0]: https://en.wikipedia.org/wiki/Holes_(novel)
The essay appears to mix two different meanings of "hole".
Holes are a topological property of the slice of cheese. It's not scale invariant, as we're talking about holes on a human visible scale, not microscopic holes. The actual number is not fixed and may depend on the person doing the measuring.
I therefore don't see the need for "perforated", much less shape-predicates like "singly-perforated", "doubly-perforated" and "triply-perforated."
> For ‘hole’ read ‘bottle;’ for ‘hole-lining’ also read ‘bottle.’
Topologically speaking, a bottle doesn't have a hole, so this uses a different definition.
I think your definition still leaves the essence of the discussion in the same place: do topological properties "exist"? That's how I tend to blanket-interpret this debate; it's whether one is wiling to define existence to include things that aren't material.
This is a debate between grammarians, not logicians. Just because "hole" and "object" are both nouns doesn't mean they belong to the same logical category.
Eh. Grammar, logic, it's all just trivium stuff, unrelated to the sciences proper.