[snarks_when_bored]

...the continuum doesn't require real-number-line kind of smoothness...

I prefer to reserve the term 'continuum' for sets of cardinality of the real numbers (or larger). But that's just my math background speaking. I understand what you mean.

Yes, we're in agreement.

[beavus]

I prefer to reserve the term 'continuum' for sets of cardinality of the real numbers (or larger). But that's just my math background speaking. I understand what you mean.

"Continuum" has a broader sense then "the continuum" or aleph0. This is fortunate, since the mathematical concept of infinite sets is unnecessarily complicated for conveying to ordinary folks the facts of observed natural continua.

[beavus]

Have you noticed people not being able to comprehend continua--that is, not being able to comprehend how different states can exist without natural sharp lines dividing them?

[grey_whiskers]

I prefer to reserve the term 'continuum' for sets of cardinality of the real numbers (or larger). But that's just my math background speaking. I understand what you mean.

Yes, we're in agreement.

Ever notice how the mathematical symbol delta for the dirac delta function looks like a sperm?

Quite ironic in light of the current thread...

Cheers!