Again, this is an assumption, which I reject.A duration is literally the time inbetween events — BB100
This is simply the basis of our arbitrary unit for measuring the passage of time.a second being just the composition of the periods of a cesium atom. — BB100
Again, this is an assumption, which I reject.What actually happens is like you throw a ball in the air. It is not going through a continous motion, but like a film Instants of change is occuring that we perciew as continous. — BB100
No, continuous motion is the reality and distance is how we measure and describe it. A meter is an arbitrary unit for that purpose.But that just proves that motion is not continous for motion is change of distance — BB100
Again, this is an assumption, which I reject.Time though, is successive, meaning one event after the other. — BB100
No, I subscribe to Peirce's theory of time as truly continuous. It is somewhat similar in holding that the present is an indefinite lapse, such that "moment melts into moment" rather than being distinct.I wonder if aletheist is referring to Bergson’s notion of durée. — emancipate
Dictionary definitions are often inadequate for philosophical discussions.that is the definition that is used in the dictionary. — BB100
Let me try restating my example of an event using "S" to denote a concrete thing and "P" to denote an abstract quality. At the lapse of time before the event, "S is P" is true. At the lapse of time after the event, "S is not-P" is true. At the lapse of time during the event, neither "S is P" nor "S is not-P" is true. There is no contradiction here--that would require both "S is P" and "S is not-P" to be true at the same determination of time--but the principle of excluded middle does not hold.To say that a thing neither is or is not would be a contradiction for a thing is an existence by definition. — BB100
If by "empirical data" you mean individual observations and measurements, sure; but this does not entail that the phenomena being observed and measured are really discrete.all emperical data is a combination of points in time. — BB100
If I I have one then name the first one you find and we can start from there for me to clarify. — BB100
If have an infinite past, then there exists an event in the past that is an infinite events away from the present — BB100
[/quote][quoteLet me try restating my example of an event using "S" to denote a concrete thing and "P" to denote an abstract quality. At the lapse of time before the event, "S is P" is true. At the lapse of time after the event, "S is not-P" is true. At the lapse of time during the event, neither "S is P" nor "S is not-P" is true. There is no contradiction here--that would require both "S is P" and "S is not-P" to be true at the same determination of time--but the principle of excluded middle does not hold.
Right, it means that the concrete thing denoted by "S" is indeterminate with respect to possessing or not possessing the abstract quality denoted by "P." Again, the principle of excluded middle only applies to determinate states of things.If S is niether p or not p, then that just means p is not applicaple to be describe S. — BB100
"S is P" does not signify an event, it signifies a prolonged state of things.Either way there is a distinct event you put forth of "S is P" — BB100
The short version is that the following five properties are jointly necessary and sufficient for a true continuum.Also answer me this, what is a true continuity? — BB100
A prolonged state of things, such as what "S is P" or "S is not-P" signifies, is realized at any and every arbitrary instant within a certain continuous lapse of time. An event is realized when one prolonged state of things, such as what "S is P" signifies, transitions to an incompossible state of things, such as what "S is not-P" signifies. The two states cannot be realized at the same discrete instant, because that would violate the principle of contradiction. Instead, the event must be realized at another continuous lapse of time, when neither "S is P" nor "S is not-P" is true; instead, "S is becoming not-P" is true. During that lapse--i.e., at any arbitrarily shorter but still continuous lapse within it--an indefinitely gradual state of change is realized.What do you mean by "prolonged" or "during" in your two prior posts? — BB100
Well, I reject that definition, as well as the underlying assumption that time is composed of instants. An event is a change from one state of things to a logically incompossible state of things.Wait, I defined an Event as a complete description of reality meaning an instant of what is or was. — BB100
No, a lapse is a real and continuous portion of time, while an instant is an artificial and discrete limit that we mark for some purpose, such as measurement or description.Lapse would entail a change of instants in Time. — BB100
Again, this is precisely what I deny. For any particular instant that we single out, there is no "next" instant. Put another way, between any two instants that we actually mark, we could potentially mark other instants beyond all multitude.Since any instant of time exists one after the other, then you still can not go an infinite events after a point. — BB100
Again, I deny the reality of instantaneous states of things. The minimum of real time is an indefinite moment, and an event can only be realized at a lapse of time during which the transition from one prolonged state of things to a logically incompossible state of things is strictly continuous. Consequently, I also deny that events are rigidly sequential and never simultaneous; on the contrary, an isolated event is impossible. Every concrete thing is constantly changing with respect to some of its abstract qualities, such that the overall state of things at the present is always an indefinitely gradual state of change.Instant, which I define here as the state of reality. — BB100
Again, I deny that there are any real instants in time, just those that we artificially mark for some purpose. Moreover, our inability to mark an actual infinity of instants has no bearing whatsoever on whether real time extends into the infinite past; it is sufficient to recognize that there is a potential infinity of such instants. This remains true even if we posit that there was a first event a finite number of years in the past; in my view, there could have been time without events, but events without time are impossible.Now if we assume infinite past there is a real infinite instants , regardless of the events you define as, such that ( ...I3, I2, I1). — BB100
Again, it is not necessary to break up the motion into a series of discrete steps, such that each "occurs one after the other." Getting to the wall is obviously not impossible--I can simply move from my starting point toward it at a constant velocity, and I will get there. I do not have to stop at each halfway point, then start again.Each event occurs one after the other, so getting to the wall is impossible. — BB100
Rather than further repeating myself, I will refer you to my recent thread on "The Reality of Time."can you list your definitions of time , event, change, indefenite moment, and potential infinity in any order. — BB100
No one is arguing for the existence of infinite events, which would be an actual infinity. An event is not a concrete thing that exists, it is a state of things that is real; again, a change from one prolonged state of things to another (logically incompossible) prolonged state of things.Getting to the wall is impossible if a thing was always going halfway the distance. This would naturally disprove the existance of infinite events — BB100
Nonsense, it is the infinite series of steps going only halfway that wrongly treats motion as discrete. Continuity is not synonymous with infinite divisibility, the latter is only one of the five properties that I specified for the former. The rational numbers are infinitely divisible, yet no one considers them to be continuous.rather we motion is dicrete on that all particles are essentially teleporting at a certain distance, which is consistant with quantum theory and special relativaty. — BB100
Again, please read up on intuitionistic logic.I fail to see how Non Excluded Middle is not a law like the identity and noncontradiction. — BB100
If you postulate that time must have a starting point, then you trivially get the conclusion that the past cannot be infinite. — SophistiCat
Of course, no one who does not already believe the conclusion would be satisfied with that postulation, and even those who do ought to be leery about getting their prize without honest toil. — SophistiCat
You could say that time is just what we postulate 'time' to be, and you could then postulate it to have a beginning. But a more honest and satisfying approach would be to take 'time' as referring to something beyond mere postulation, something empirically known. — SophistiCat
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