Devans99

A decimal representation has a fixed number of digits; always will have a fixed number of digits. No need for actual infinity.

I think it’s an early attempt at building a metaphysical model of the universe

You are assuming space is continuous to get smooth sphere on which to plot. IE you are assuming what you want to prove.

You do not have a truely continuous sphere on which to make such a construction. You also have no geometrical equipment with precision 1/oo to make th...

The very fabric of space time is stretching. It does not need anywhere to expand into; time and space don’t even exist beyond the boundaries

Cantor's Paradox ‘The set of all sets is its own power set. Therefore, the cardinal number of the set of all sets must be bigger than itself.’ The set...

Not sure this is much better: - There is an number X such that X > all N - X+1 > X - There is no such number The problem, as you pointed out above, wi...

- So I have infinity X and a copy X’. - I add one to X - then X > X’ by common sense

A hotel which is completely full, an infinite number of new guests show up and they are all accommodated by the magic of infinity. Magic is the key wo...

But maths has a responsibility to make sure it clearly communicates concepts to its end users. Actual Infinity need to come with a health warning: - T...

But maths has defined a number that behaves non-numerically... we can at least agree that such ‘numbers’ are not to be used in the physical sciences?

These properties are nonsensical compared to the properties of any normal number. X+1=X No other number, complex, vector, matrix, whatever, has this n...

Well transfinite cardinals have strange properties like: X+1=X X-1=X What sort of number behaves like this?

Don’t forget the speed of light - the universe has a built-in speed limit and speed = distance / time. A speed limit is needed for consistency of any ...

Sorry I meant I’ll-defined concept. ‘Aleph-null is defined as the first transfinite cardinal number and is the cardinality of the infinite set of the ...

I can’t because cardinality is an ill-defined concept - it includes cardinality of actually infinite sets - which are not numbers so I can’t add one t...

- Yes but my argument shows none of them exist because they are not constructable - So you are saying there is a number (cardinality) with the propert...

https://en.wikipedia.org/wiki/Galileo's_paradox There are less squares than numbers because not all numbers are squares. Yet each number has a square ...

- Actual Infinity is larger than any other number - Actual infinity plus one is larger than actual infinity - Hence there is no number larger than all...

Discribing the set is not the same as the set itself. The description is incomplete unless all members are iterated.

The selection criteria for the set (for example the set of yellow cars) is different from the actual set (ie a number of distinct yellow cars). The la...

The definition of a set from Wikipedia starts with: ‘In mathematics, a set is a collection of distinct objects, considered as an object in its own rig...

The set of natural numbers is not constructable through any known operation hence it does not exist as a completed set.

Look someone made an error in set theory with the axiom of infinity and a lot of complex math has built up due to the complexities introduced by the l...

You can’t take one from from Undefined

But my point is actual infinity is not a number so Actual Infinity is undefined in mathematics (except in set theory which merely declares that it exi...

There is no natural number with the property that you can keep subtracting one from and never reach zero. Hence actual infinity does not exist.

- Calculus resolves Zeno’s paradoxes in a complex way. - Denying Absolute Infinity (and thus implying discrete time) solves them in a simple way - it ...

That’s a tricky question. If I had to construct time, I’d do it virtually using a computer simulation (think ‘The Sims’ - the game contains space and ...

Well continuous time leads to paradoxes like Zeno’s. Archiles never catches the hair with continuous time because that requires Archiles to traverse a...

It did not come from anywhere. It has permanent existence outside of time. Never created it just is. Time is a created construct that lives within thi...

I’m not saying maths is incoherent, just pointing out it’s impossible to define the cardinality of an infinite set so maybe infinite set is a flawed c...

Thanks appreciate it! I’d imagine base reality has finite spacial dimensions so in a sense it would have beginnings and ends.

No it has a start and and end. Imagine all of finite space time as a static block that exists permanently. It’s the block universe view of Eternalism ...

The Big Bang suggests a start of time. For something to exist it must have a start. A more elaborate argument for the start of time: - Something can’t...

I think they like to complicate things. Actual Infinity (a logical contradiction) is great for complicating things. Once you rule out Actual Infinity,...

No I just believe in cause and effect.

Well i am a determinist but I don’t quite see what you mean?

Problem is the cosmologists are using the actually infinite. Eternal Inflation and the measure problem is an well known paradox. I’m not a mathematici...

Actual Infinity = Cardinality of the set of natural numbers = Nonsense

That would mean a physical system passing through an infinite number of states in a finite period of time. That’s spiritualism. That leads to Zeno’s p...

And an infinite number of operations is impossible in the real world and impossible mathematically

Ok good point I overreached there. A different proof that Actual Infinity cannot exist mathematically: - Actual Infinity is greater than any number - ...

Yes, but a different number so I still assert: - Actual infinity plus one equals Actual infinity - but X+1 <> X for all X - So Actual Infinity is absu...

But the concept of something that you add something to and it remains the same is nonsensical

When you add something to a number you get a different, larger number

No it does not. X+1<>X

2nd proof that Actual Infinity does not exist: - Actual infinity plus one equals Actual infinity - but X+1 <> X for all X - So Actual Infinity is absu...

Exactly my point Actual Infinity is a concept but it does not exist in reality.

All the paradoxes of infinity (https://en.m.wikipedia.org/wiki/Paradoxes_of_infinity) result from us having a logical facalcy (Actual Infinity) at the...