But how, then, do you define “the past”, if not as the time previous to the present moment? — Amalac
That is how I would define it, but I didn’t use “past” in my statement. You transcribed the term into it.
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I'm doubting the truth of that hypothetical proposition. — Amalac
Hence, the antithesis. Or in your case, a possible antithesis, upon your presentation of a thesis self-consistent and necessary in its own right, but constructed with different initial conditions than he used.
As long as the Kantian antinomies are the ground of the discussion, best to keep in mind.....
“....Thetic is the term applied to every collection of dogmatical propositions. By antithetic I do not understand dogmatical assertions of the opposite, but the self-contradiction of seemingly dogmatical cognitions (thesis cum antithesis), in none of which we can discover any decided superiority. Antithetic is not, therefore, occupied with one-sided statements, but is engaged in considering the contradictory nature of the general cognitions of reason and its causes. Transcendental antithetic is an investigation into the antinomy of pure reason, its causes and result. If we employ our reason not merely in the application of the principles of the understanding to objects of experience, but venture with it beyond these boundaries, there arise certain sophistical propositions or theorems. These assertions have the following peculiarities: They can find neither confirmation nor confutation in experience; and each is in itself not only self-consistent, but possesses conditions of its necessity in the very nature of reason—only that, unluckily, there exist just as valid and necessary grounds for maintaining the contrary proposition....”
....so if you’re going to argue the falsity of all or parts of the series of antinomies, you should stay in the context provided by the section in which they are found.
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I'm not saying Kant maintained that the universe had an infinite past, I'm doubting the truth of that hypothetical proposition. — Amalac
So you’re doubting the truth of the hypothetical proposition that the universe had an infinite past. Regardless of what that has to do with Kantian antinomies, and best you refrain from referencing them when expounding on how you conclude the fallaciousness of that hypothetical, what truth contained in it is doubtful, and how is it doubted?
On the other hand, if you insist on referencing the antinomies, perhaps start with this.....
“.....Now the infinity of a series consists in the fact that it never can be completed by means of a successive synthesis. It follows that an infinite series already elapsed is impossible...”
......which, while having nothing to do with the universe, does.....er....maintain....that no infinite series can have a past, an “already elapsed”, so the truth of the hypothetical proposition “the universe had an infinite past”, is already refuted, so you are correct in doubting it.
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what I said was that he maintained that if the past were infinite then that implies that an infinite amount of time has elapsed. — Amalac
So is this where you’re coming from? And by association, is this the hypothetical proposition the truth of which you find doubtful?
“....up to every given moment of time, an eternity must have elapsed, and therewith passed away an infinite series of successive conditions...”
You’re equating your “if the past were infinite” with his “an eternity must have elapsed”, probably, which is fine. Close enough. As well, your “an infinite amount of time must have elapsed” is close to his “therewith passed away an infinite series of successive conditions”.
So why are you doubting the truth of what he says given you are saying practically the same thing?
The problem arises upon recognition that his hypothetical proposition is prefaced by granting there is no world. You can find the truth doubtful in his hypothetical proposition, just as he himself does, from the excruciatingly sufficient reason that there
is a world.
All I can do now, is grant I got the hypothetical propositions mixed up, and that’s not what you’re talking about at all. If so, you’ve successfully confused the hell outta me, and I’m at the end of my dialectical rope. So fix the confusion, or forget the whole thing.....up to you.