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Why Can't Actual Infinites Exist?


An Infinite Past is Impossible in Our Universe - Hiking in the Light

“Yes, you can't form an actually infinite collection of things by starting at a point and adding one thing after another. [You'll never reach the end, as with ...

Do infinities exist in nature? | plus.maths.org

It's infinite, but you never reach or experience the infinity. In a subject like cosmology, there are lots of infinities like that and most ...

Should We Believe in Infinity? - Essays on Reducing Suffering

Philosophies of mathematics ... Platonists believe that mathematical objects actually exist in some ontological sense. So, if the set of real ...

Infinitesimals: Another argument against actual infinite sets

3. Therefore, actual infinities can't exist. Although Cantor, who invented the mathematics of transfinite numbers, rejected infinitesimals, ...

Theology and the Actually Infinite | Boxing Pythagoras

One of the common claims which is utilized in arguments for the existence of God is that actual infinities cannot exist.

More on the actual / potential infinite - UseOfReason - WordPress.com

An actual infinite cannot exist; An infinite temporal regress of ... Well, why can't we make another set, which has all the sets which ...

Since an Actual Infinity cannot logically exist, is an infinite God a ...

If it were possible to iterate through the set, to list them all one-by-one, then the set would necessarily have both a beginning and an ending, and therefore ...

Black Holes As Actual Infinities | Free Math Help Forum

A little philosophy to get this party going ... Aristotle (Greek philosopher), way back in the BC era, claimed that only potential ...

Logically, must past events be finite in number? | BeliefMap.org

Infinities can't exist in the world · Infinity yields logical impossibilities, as in the Grim Reaper paradox. Infinity minus infinity can also be shown to result ...

Does infinity exist in the physical world? - Christian Forums

Infinite zeros is just maths. Infinity cannot exist in the real world because it means 'without beginning or end'. If you say that God has ...

Yeah, but is it actually actually infinite? - Edward Feser

For past things and events (including past days, years, etc.) do not exist. Hence they do not form an infinite collection of things that exist ...

Does infinity exist in the real world? - YouTube

Infinity may be more than just a mathematical concept but applying it to physical reality can be a conundrum.

Infinity Could Not Be Smaller - by Benjamin Peters

Physics has no beef with infinities that exist nominally and do good work here and now: indeed, much physics relies on minimal infinities under ...

Is it conceivable that something finite can become infinite? Isn't there ...

... actual infinites. Consider the paradox of the diary. Imagine Pat has always existed and has always been keeping a diary. But, perhaps like James Joyce, it ...

Is anything in the physical world infinite?

Note also that even if the universe will exist for infinite time, physically that means that time never ends. But, not that at some point you ...

Does God Know an Actually Infinite Number of Things?

I can't tell you what your work has meant to my life. Part of who ... actual infinity does exist (namely, numbers)?. Are your answers to ...

On Traversing an Actually Infinite Past - Alan Rhoda

But it's beginningless, so one can't possibly begin there since it doesn't exist. Moreover, to say one can begin to traverse a beginningless ...

Does Infinity exist in nature - Science Forums

So in that sense, infinities do not exist in nature. Simply put, we can only measure real numbers. Infinity is not a real number. That said, in ...

Cantor Was Wrong | There Are No Infinite Sets | Steve Patterson

It simply states that, “At least one infinite set exists.” Specifically, the set of natural numbers (1, 2, 3, 4, 5, and so on). Superficially, ...

Presentism and Infinite History | Strange Notions

From the viewpoint of a classical Christian theist, eternalism implies the existence of an actual infinity of future moments, giving such ...