Speakpigeon
Contributor
- Joined
- Feb 4, 2009
- Messages
- 6,317
- Location
- Paris, France, EU
- Basic Beliefs
- Rationality (i.e. facts + logic), Scepticism (not just about God but also everything beyond my subjective experience)
The idea of an infinite past is that of time without beginning, that is, no starting point in the distant past.
Yes. It is an irrational idea.
It is the idea that something (time) exists but it had no beginning.
Yet we have no evidence of anything existing without a beginning. We can't conceive of such a thing. And such a thing could not be shown to be possible.
So it is an irrational idea not supported by any evidence.
Sure, I'll buy it.
Your problem is you do not know the difference between something imaginary, like a point, and something real, like time. I can fit infinite imaginary points between two other imaginary points. I can even draw a perfectly straight imaginary line between them.
That in no way implies I could fit infinite time between two moments in time.
We clearly know that between any two moments in time is a finite amount of time.
Every idiocy you say here is already contradicted in my post:
The idea of an infinite past is that of time without beginning, that is, no starting point in the distant past.
We can conceive of an infinite series of points in time going back from now. Each point in time in the series is defined by subtracting the same strictly positive interval Δt to the preceding point in the series. So Tn+1 = Tn – Δt, with T0 the present time. Δt can be as small as you want as long as it is not zero, and as large as you want as long as it is finite.
This is a formal expression of the intuitive notion of time we all have in common.
This series has no upper bound and is therefore infinite. It is also a sample of the past, with all Tn spaced regularly across the entire past. Each Tn is further back in the past than its predecessor in the series. The bigger n is, the further back in the past Tn will be. So, if the series is infinite, then the past is infinite also.
All we need is to be able to conceive of such a series. But it is easy because it is our default description. It subsumes all our ordinary alternative descriptions of time either as a succession of seconds, years, centuries, or millennia. There is nothing difficult or vague in that conception. It is so much a part of our everyday notion of time as being completely intuitive for all of us. It also applies whether time is continuous or discrete, or even a mix of the two.
If time is infinite but discrete, then the infinity of the past is commensurable to that of N (or Q but that amount to the same thing).
If we conceive of the past as continuous, we can conceive of time as analogous to R for example, the past being R-, and the future R+, the present moment being 0. In this case, the infinity of the past is commensurable to than of R.
Keep in mind that this is just a conception of time. We don’t know whether this conception is the reality of time. The question asked of posters is whether they think this conception is logically impossible or not. The question is not whether it is true of time.
EB