Sure, I've also heard of physicists talk about something being infinite but bounded, yet, nevertheless, these are physicists who say such things, they're neither logicians or philosophers; if they were either the former or the latter, they would've taken the care to understand that the object which they're talking about, technically, isn't infinite.I'm not sure you are right. There are different types of infinities so an object might be infinite in some ways but not in others. I hear many physicists say that the universe can be infinite and bounded at the same time. There is Gabriel's Horn as well (something finite with an infinite surface area) — Gregory
As I see it, an "eternal instant" & "motion(s)," be it infinite or not, are incompatible ideas.if time is objectively an eternal instant and infinite motions hold together frozen in that instant, it seems to me the series would be geometrically infinite — Gregory
For motion can only be defined as a change of place or position — aRealidealist
Gabriel's horn, honestly, is not really different, because what's taken as infinite, in that context, is the rotation about the horn's surface - in other words, the revolution about the horn's surface or the rotation about the axis is what's taken as infinite, & not the object itself per se (if you consider the matter closely, I think that you should see this to be the case). — aRealidealist
Uh, yes, it does, precisely because, although everything can be said to be in motion or changing place/position, everything isn't, in the same context, moving in the same direction, e.g., one thing can be said to be moving to the left of another & this other thing moving to the right of the former (or, depending on the context, vice versa); thus distinguishing between movements by direction.If everything is in motion, then your definition doesn't distinguish anything in the universe. — fishfry
Uh, yes, it does, precisely because, although everything can be said to be in motion or changing place/position, everything isn't, in the same context, moving in the same direction, e.g., one thing can be said to be moving to the left another & the other thing moving to the right of other (or, depending on the context, vice versa); thus distinguish between movements by direction. — aRealidealist
Yes, relative to place/position, as I've originally asserted.So you agree that all motion is relative. — fishfry
No, I can't; because I've originally said that motion is defined as change of place or position, the motion relative to a thing's place or position - which is always relative, not absolute, so it's not a lot different than what I've said initially but equivalent with it.Something is moving only in relation to something else, and not in any absolute sense. That's a lot different than what you said initially. Can you see that? — fishfry
By determing in what context you view yourself. Relative to your couch, you're at rest, if you only take into consideration your couch & self, but relative to the galatic center, you're both in motion; yet, notice that the only way which you've determined that you're motionless, or in a state which is the opposite of motion, relative to the couch, is by not changing your place or position on it, thus inadvertently implying that motion, or a state which is the opposite of being motionless, is determined by the change of place/position. Thus you inadvertently grant my definition of motion.If I'm sitting on the couch, I'm motionless with respect to the couch, but moving at very high velocity relative to the galactic core.
So how can I know, using your criterion, whether I'm in motion? — fishfry
Thus you inadvertently grant my definition of motion. — aRealidealist
Lol, are you saying that two, or multiple, things can't be moving relative to each other? So, yeah, there's no self-refutation. You just seem miss the fact that, given a determinate context, the motion of multiple things can be distinguished by their directions.Thus you inadvertently refute your own statement. You said, and this is a direct quote: "For motion can only be defined as a change of place or position,"
But since by that definition everything is in motion relative to something, your definition is true but useless, since I can't use it to determine whether a thing is moving or not. — fishfry
How do you figure? In my previous post, I've shown that, given a determinate context, motion & rest (as the change of place/position, or the lack thereof) are easily determined. I'm honestly stupefied by this conclusion of yours. You seem to think that just saying it makes it true.since I can't use it to determine whether a thing is moving or not. — fishfry
I'm honestly stupefied — aRealidealist
... you should also that believe that your illogical assertion caused it.That, I believe. — fishfry
Lol, if you really that think I've corrected myself, rather than having repeated my original assertion, this conversation is wayyy beyond me.But you initially made an absolute statement, and you then qualified it as a relative statement after I pointed out your error to you. So congrats on understanding what I said to you and putting in the correction. — fishfry
Aw, why thank you. Aren't you just the perfect combination of genius & kindness? Take care, pal.You can have the last word. — fishfry
From Wikipedia (https://en.m.wikipedia.org/wiki/Gabriel%27s_Horn): "Gabriel's horn is formed by taking the y = 1/x, with the domain x ≥ 1 and rotating it in three dimensions about the x-axis." "Mathematically, the volume approaches π as a approaches infinity." "There is no upper bound for the natural logarithm of a, as a approaches infinity." - Thus, it should be clear that infinitude, in this context, is strictly generated by the rotation about the axis (as I've stated in my post that you're replying to); which approaches or tends to infinity but is never itself infinite. Hence, the surface area is never in fact infinite, but, like an object proceeding or moving about a circle's surface, it's approached or tended to by a never-ending revolution about the horn's surface or rotation about the axis.Well you are wrong about Gabriel's horn. Infinite surface area with finite space within! — Gregory
Motion is no less compatible with the idea of an "eternal moment" than it is with an "eternal instant"; the word changes, but the incompatibility remaims. For what distinguishes one moment from another, if not their content that defines them? So, if x is in point A at a given moment, then when it's in point B, this would, by definition, constitute a different moment; because two moments that are defined the same wouldn't be two different moments but one & the same, while two moments with different definitions would literally be two different moments. So, again, motion is incompatible with a changless moment that's one & the same (or defined as such) eternally so, i.e., an "eternal moment"; indeed, the change of place/position, i.e., motion, requires one moment to end, i.e., x in point A, & another to begin, i.e., x in point b, in order for it to occur, whereby neither moment (as neither what begins or ends) is eternal.an eternal instant is just my phrase for B Time. "Instant" keeps the element of time intact. An absolute flow of time is inconsistent with relativity as understood by Einstein. So if there is something objective here it would be an eternal moment and all it contains. — Gregory
Sure, if time is infinite, then time in the universe would be infinite; nevertheless, this doesn't mean that space or a shape would have to be infinite, but only the series of events.but my point still stands that if B Time is true and the series of past events is infinite, the universe would be infinite — Gregory
So an infinitude of moments has unfolded to your, or everyone's, consciousness, past, present, & future? Okay, if that's so, & the present & the future are all there at once to your consciousness, then tell me with what words my next reply to you will start with. Your answer will be quite telling. & why can't people predict the future as accurately as they can discern the present, I mean, if it's all just there at once? Such a claim contradicts all of experience. Abstract mathematics has taken some people far away from reality.If the series is infinite and each moment enfolds only to our consciousness, the fabric of the universe in it's eternal state would be infinite. The rock "now" and then "at another time" would each be all there at once so the universe, instead of being in the present, would be all at once infinite. — Gregory
No, I don't object against the possibility of an instant being eternal, but I object to the reality of change, such as that of motion, being compatible with one eternal instant or moment (for reasons that I've provided in my previous posts above).Now you object to calling eternity an instant but how else would you describe it while keep it a temporal thing? — Gregory
Granted, a potential infinity can't unfold but in time; nevertheless, a potential infinity is still possible even if it's not unfolding, & therefore it's possible before unfolding in time, i.e., a potential infinity is still possible even if it's not unfolding in time. If it wasn't possible before unfolding in time, then it could never proceed to unfold in time!Finally, there is no "potential infinity" where there is no time. — Gregory
Uh, no, it's not, precisely because this potential hasn't been, nor will ever be, rendered actual (distinction between potential & actual is crucial here); no more than a potential limitation in one's enumeration of the series of whole numbers is an actual limitation, for they can just keep on going & going but without ever stopping, although stopping is always a possibility.If we approach an infinite surface area and it is potentially infinite to our action then it is infinite in itself — Gregory
Yes, it can. It subsists as a possibility relative to what can initiates its unfolding in time, despite its unfolding not yet having been initiated in time. To say that a potential infinity isn't possible before unfolding in time, which you maintain, contradicts the assertion that a potential infinity is even possible at all. Ironic. Also, Aristotle's point was that a potential whole is only potentially composed of parts, & not actually. Can you provide, from his writings, a citation of what you allege that he has led people to believe? I think not.A potential infinity can't just subsist. That's Aristotle's great error, who in his ignorance lead people to think that a whole only potentially has parts — Gregory
You mean, what you consider to be important. For what's really important & what you take to be important aren't the same evidently.I only read the important parts of replies. — Gregory
Who's claimed, let alone implied, otherwise? You're going off of the rails. Also, just like I've thought, no citation of Aristotle leading people to believe what you've alleged that he has is forthcoming; just more bare claims. Not surprising.The whole doesn't supersede its parts. — Gregory
As I far as I see it, no, you can't. Anyhow, take care, pal. Your bare assertions are leading us nowhere. However, I still thank you for our back-and-forth. Peace.I can tell what someone's argument is — Gregory
Your bare assertions are leading us nowhere. — aRealidealist
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