I'm not so sure about your paper tape analysis. If the universe is truly infinite then it has plenty of space to hold an infinite amount of infinite things. So an infinitely long paper tape would would not necessarily fill it up. Not even close. Do the math. Your reasoning on the subject seems more emotional than logical so you're clearly not a killerspacerobot. Maybe you should switch to killerspacerobotmaker?
Anyhow, what do you think of Penrose tiles? I sorta like em. Does topology have a place in target discrimination algorithms? I find it strangely fascinating. https://www.goldennumber.net/penrose-tiling/
Infinite is infinite. There would be no space left over ("My infinite is bigger than your infinite."). But the point is that the conjecture is absurd; it ignores the logical implications of its implementation. Not an emotional matter at all. But disgusting that a man of Penrose's stature would go down that path.
There's always space left over -- an infinite amount of space -- otherwise your infinity would be finite.
For example: Integers is an infinite set of numbers. if you remove the negative numbers (also an infinite set) you are left with a set non-negative integers that's still infinite. So the infinite set of negative integers does NOT "fill up" the infinite set of integers. In fact there's an infinite number of infinite partitions of the infinite set of integers.
Everyone of stature is compromised, so maybe the pyramid made him do it.
Remember he posed a paper tape program of infinite length (and because a paper tape has width and thickness, it means infinite volume). If there were any space left over, that condition would be violated. Your example does not apply to continuums of the same kind (volumetric).
No compromise. Just a lack of realization of what he was actually proposing. More like nearsightedness; not seeing the larger implications. Not a good showing for someone who is pontificating on artificial intelligence.
You're talking nonsense. My abstract example extrapolates to an infinite number of dimensions. Not just 3. But no matter. My time and energy is not infinite. You win.
Hey, I got a Boeing question. Do you think any of the many (but not infinite) troubles with the Boeing aircraft could possibly be staged, and not actual construction quality problems? Are you allowed to comment, or did you sign your freedom away with an NDA?
I'm not so sure about your paper tape analysis. If the universe is truly infinite then it has plenty of space to hold an infinite amount of infinite things. So an infinitely long paper tape would would not necessarily fill it up. Not even close. Do the math. Your reasoning on the subject seems more emotional than logical so you're clearly not a killerspacerobot. Maybe you should switch to killerspacerobotmaker?
Anyhow, what do you think of Penrose tiles? I sorta like em. Does topology have a place in target discrimination algorithms? I find it strangely fascinating. https://www.goldennumber.net/penrose-tiling/
Infinite is infinite. There would be no space left over ("My infinite is bigger than your infinite."). But the point is that the conjecture is absurd; it ignores the logical implications of its implementation. Not an emotional matter at all. But disgusting that a man of Penrose's stature would go down that path.
There's always space left over -- an infinite amount of space -- otherwise your infinity would be finite.
For example: Integers is an infinite set of numbers. if you remove the negative numbers (also an infinite set) you are left with a set non-negative integers that's still infinite. So the infinite set of negative integers does NOT "fill up" the infinite set of integers. In fact there's an infinite number of infinite partitions of the infinite set of integers.
Everyone of stature is compromised, so maybe the pyramid made him do it.
Remember he posed a paper tape program of infinite length (and because a paper tape has width and thickness, it means infinite volume). If there were any space left over, that condition would be violated. Your example does not apply to continuums of the same kind (volumetric).
No compromise. Just a lack of realization of what he was actually proposing. More like nearsightedness; not seeing the larger implications. Not a good showing for someone who is pontificating on artificial intelligence.
You're talking nonsense. My abstract example extrapolates to an infinite number of dimensions. Not just 3. But no matter. My time and energy is not infinite. You win.
Hey, I got a Boeing question. Do you think any of the many (but not infinite) troubles with the Boeing aircraft could possibly be staged, and not actual construction quality problems? Are you allowed to comment, or did you sign your freedom away with an NDA?