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3 votes
2 answers
151 views

Final Steps and Zeno's Paradox

In the SEP article on supertasks, it states that: Max Black (1950) argued that it is nevertheless impossible to complete the Zeno task, since there is no final step in the infinite sequence. The ...
Max Maxman's user avatar
2 votes
6 answers
602 views

Is the B-theory of time only compatible with an infinitely renewing cyclical reality?

I'm not a mathematician and I may be misunderstanding some aspects of this concept. According to the B-theory of time, the flow of time is an illusion, and every point in time exists equally. If this ...
Blaxium's user avatar
  • 217
0 votes
2 answers
105 views

Constructing an infinite interval with a definite starting point given an infinite past [duplicate]

I had a question regarding constructing an infinite interval with a starting point given an an infinite past. I wish to model an infinite past in a non-formal non-rigorous set theoretic manner and was ...
AminGow's user avatar
  • 17
4 votes
2 answers
143 views

Is there a philosophical or mathematical proof for "For any observation or claim, there's an infinite number of assumptions we presume to be true?"

Is there a philosophical or mathematical proof for "For any observation or claim, there's an infinite number of assumptions we presume to be true?" It doesn't seem to make any sense, but ...
Sayaman's user avatar
  • 4,249
3 votes
3 answers
463 views

Is there a way to prove we live in a universe of infinite or finite “things”?

Sometimes I wonder if science has limits. On one hand; logically no; there will always be something that we don’t understand and when we create new things it leads to other new things. On the other ...
Max's user avatar
  • 395
1 vote
1 answer
76 views

Does absolute eternality entail timelessness?

Assuming one is committed to the idea that an actual infinite amount of time can never pass, does eternality entail timelessness?
Max Maxman's user avatar
4 votes
4 answers
603 views

How to understand the notion of majority when comparing infinite sets?

Suppose I make the argument: It is very unlikely that in a naturalistic universe, the constants have life sustaining values, since the majority of metaphysically possible universes do not have such ...
Mani's user avatar
  • 261
0 votes
3 answers
448 views

I have a premise about infinite timeline, how is it?

I think that in an infinite timeline without a start, if such a timeline could exist, the only way things could work is like this: The only things that can happen are those that already happened an ...
Gab Daud's user avatar
3 votes
5 answers
423 views

If something can’t come from nothing, then has an infinite period of time already passed?

Assuming that something really can’t come from nothing (I know it’s controversial but if it’s true)... Then at any given point in time (t), something exists and therefore something also existed at t-1....
Gueda's user avatar
  • 225
3 votes
10 answers
3k views

Does science require the exclusion of the "infinite"?

And if so, are there any interesting implications? According to the storyline, Galileo launched modern science by declaring the necessity of rendering physical events countable. What is countable must ...
Nelson Alexander's user avatar
1 vote
1 answer
519 views

Can the Universe Be Infinite?

Some think that the universe is infinite. To convince one in the creditability of the idea they point mainly at our inability to conceive of its spatial limits. Hence, here, I use 'infinity' (of the ...
Giorgi's user avatar
  • 25
1 vote
2 answers
177 views

Perpetual Division

I recall a story about a philosopher who proposed an idea that everything is essentially perpetually divisible. That is to say, you can divide a whole into two halves and for each half (regarded as ...
voices's user avatar
  • 119
2 votes
4 answers
609 views

How many numbers does it take to describe conscious reality?

The set of all real numbers (ℝ) is uncountably infinite, yet all of the general theorems of math, all of the thoughts leading up to them, all of of the particles of the physical universe could be ...
Erin K Carmody's user avatar
23 votes
5 answers
4k views

What was Cantor's philosophical reason for accepting the infinite but rejecting the infinitesimal?

I have begun inquiring recently into mathematical aspects of Georg Cantor's theory of transfinite numbers and sets, which he developed between the years of 1874 and 1897. Throughout his theory, Cantor ...
L.M. Student's user avatar
  • 2,731
14 votes
3 answers
9k views

What is the difference between an Ordinal number and a Cardinal number?

I'm trying to understand the real difference between an Ordinal and a Cardinal, especially in relation with transfinite cardinals. The stuff on Wiki is a bit too complicated. Can anyone make it simple ...
Zerub Roberts's user avatar