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?
No staged errors. The whole production process is supposed to be focused on no error. If there are lapses, that is a serious problem with supervisory oversight and the lack of procedural controls. (Not too surprising, from the cost-cutting mentality that took over upon the merger in 1997.) There are union members building those airplanes WHOSE FAMILY MEMBERS FLY ON THEM. My union pals would be shocked and disgusted at these errors. Of course, the plant in South Carolina is non-union... I think I read somewhere that Boeing was going to purchase back the Spirit Aerospace plant in Wichita where the 737 fuselages are built, to unify the quality control across the product line.
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?
There are only 3 dimensions. Get used to it.
No staged errors. The whole production process is supposed to be focused on no error. If there are lapses, that is a serious problem with supervisory oversight and the lack of procedural controls. (Not too surprising, from the cost-cutting mentality that took over upon the merger in 1997.) There are union members building those airplanes WHOSE FAMILY MEMBERS FLY ON THEM. My union pals would be shocked and disgusted at these errors. Of course, the plant in South Carolina is non-union... I think I read somewhere that Boeing was going to purchase back the Spirit Aerospace plant in Wichita where the 737 fuselages are built, to unify the quality control across the product line.