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1
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4answers
131 views

Does a beginning imply an ending? (In regards to the universe)

In regards to the universe if it said to have a start (Beginning) does that imply that it will have an end? Are beginning and ends implied when either ones is said to be true of a proposition or can ...
7
votes
5answers
203 views

Are infinities in physics (or in any other materalist philosophy) actually possible?

Aristotle made a distinction between infinities that were in potential (dunamis) and in actuality (energia); and stated that actual infinities did not obtain in the physical world. This is the basis ...
2
votes
3answers
127 views

Are ordinal or cardinal infinities theories for real?

There are a number of notions of infinity in mathematics that are respectable. One of the first is 'the point at infinity' to the line or plane; but one can argue that this is a spurious infinity as ...
2
votes
4answers
89 views

Does the concept of infinity mean we have already 'been'?

A memory that frequently inhabits my consciousness is that of a lesson taught by my religious education teacher in senior school. He likened the conditions and occurrences that resulted in the ...
1
vote
4answers
491 views

Why is mathematics fond of infinity, but dismissive towards partially (un)defined operations?

One main reason why the law of excluded middle can fail is that some operations are simply undefined in some contexts. This doesn't even mean that they are undefinable in principle, it just means that ...
4
votes
5answers
157 views

Infinity and the universe

"If the universe (not in matters of space-time but in the context of scope) is truly infinite, and the true raw potential of everyone's imaginations are truly infinite (removal of environmental ...
2
votes
2answers
106 views

If there are infinite realities, do realities exist in which there are no infinite realities?

I don't have any experience with physics. I am just very interested to know whether or not this might be possible.
1
vote
3answers
142 views

Hilbert Grand Hotel vs. Cantor: Can we postpone the solution into infinity?

We can accomodate infinite amount of people into an Hotel with infinite rooms. Next, we can add extra infinitude of people. (See Hilbert's paradox of the Grand Hotel.) Obviously, the trick is just to ...
3
votes
1answer
259 views

The possibility of impossible

While thinking about the possible and impossible I came into the following conclusion. Some people say that nothing is impossible. But by saying that "nothing is impossible" they automatically ...
0
votes
1answer
54 views

Deny the existence of infinities by philosophical means only [closed]

Is it possible to deny the existence of infinities in the real world, by philosophical means only? If it makes it easier, I'm mainly interested to deny that we can know an infinite amount of things ...
0
votes
3answers
157 views

Can we claim maths is finite?

By Godel's incompletness theorems we know there are problems that cannot be proven. Is this sufficient to claim mathematics (the set of axioms and theorems) is finite? As a counter-argument, we might ...
3
votes
1answer
101 views

Is there a finitistic set theory, and if there is, is it provably consistent?

ZFC is the mainstream set theory. It has an axiom of infinity which claims that there is at least one infinite set. Now suppose like Aristotle, we object and say that there are no actually infinites ...
0
votes
2answers
143 views

Is it Possible to have infinite finites

As far as I see, there are only three ways to have infinity apples in the present. they existed eternally they materialized at an infinite rate they were added one apple at a time every second from ...
2
votes
2answers
155 views

necessary conditions for something to be eternal

what are the necessary logical conditions for something to be eternal (i.e. without beginning, always existing)
-1
votes
2answers
172 views

Changing Universe vs Infinity:

If we accept the idea of a dynamic, changing, evolving Universe (Big Bang Theory), must Infinity remain entirely conceptual? If the Universe is changing and evolving, this necessarily implies borders ...
1
vote
4answers
861 views

One infinity greater than another infinity

Somebody told me this piece of logic: "If we consider in our thoughts something which is actually infinite, and we take a part from it, the remainder will undoubtedly be less than what it was before. ...
8
votes
4answers
2k views

Is infinite regress of logical causation possible? Is infinite regress of logical causation necessary?

For a number of reasons — including perhaps a desire to feel that we have a complete understanding of where we came from, or at least an understanding which is completely sufficient for all of ...
5
votes
2answers
924 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 ...
-5
votes
2answers
171 views

If a machine could theoretically count forever, is that machine counting? [closed]

I was wondering if a machine could theoretically count every second and could survive forever, would it actually be counting? Counting is only possible on finite sets so what would this machine be ...
4
votes
3answers
401 views

Cantor and infinities

I know we have accepted Cantor's ideas a long time ago and many mathematicians use sets and infinities without ever realizing that thinking about sets and infinities intuitively fails, because there ...
7
votes
1answer
260 views

Is there any philosophical significance to the arithmatisation of infinity?

There are two arithmatics of infinity, ordinal & cardinal. I'm going to focus on the cardinal arithmatic as it requires less structure, that is they need less (ie ordinals require the idea of ...
4
votes
1answer
460 views

Why is infinite regress a problem for ontological explanations?

Suppose some ontological theory creates an infinite regress. Take, for example, Platon's concept of ideas, and then there must be some connection between idea and its actualisation, and then this ...
-1
votes
1answer
280 views

What's the relationship between infinity and a dimension? [closed]

When I was reading Kant's Critique, I got the sense that he'd sort of found a formula for calling something a dimension. Space seems to arise out of an infinity of extension. Time seems to arise ...
-4
votes
2answers
752 views

Difference between 'infinite' and 'not finite' [closed]

In a chat on Mathematics.SE about countability of infinite sets, someone responded that regarding the 'counting', infinite in mathematics does not mean uncountable, but means 'not finite'. Can ...