Oh yeah! I see, you’re right.

And not a right triangle in sight. I forget, did Pythagoras develop Pythagorean theorem or the law of sines?

Yeah, I can buy that. My thought was that there is no spectrum here though. Just two points.

Yeah, I think that’s wrong. Since they are discrete and not a continuum. Since there are only two extremes.

If his new relationships were true it would make the opposite idioms consistent with their non-opposite counterparts. Kind of the same concept as a contrapositive proposition, i.e. ‘if A then B’ implies ‘if not A then not B’.

Consistency?

Edit: Funny though!

Memail?

Yeah I agree. It’s still called exponential growth, even if it’s temporary.

Got it thanks!

And with that I personally think they got a little too carried away

You think that the artists got top carried away, as in with abstraction in general, or wanting thier work to be more open to interpretation?

Can someone elaborate on this?

which he believed was as independent of descriptive reality as was music

I’m understanding it as ‘his art was as literally descriptive of his subjects as music is’. But maybe it’s more about an inability to describe the artworks themselves?

Is non-determinism the only requirement for a universe to qualify as having free will?

He’s not making any claims about that argument. He is saying that determinism implies no free will.

Edit: meant to reply to Chicken.

Nah! Rolled like that. But I do pack the end down a little bit before twisting it.