Infinity is real
Infinity is real
Here we discuss the whole is infinite. Suppose that the whole is finite (let's call it W1). This means that the whole is bounded by something (let's call it B1). B1 could be infinite or finite. In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
Re: Infinity is real
LOL
You, managed ONCE MORE and AGAIN, to CONTRADICT your OWN writings, one sentence after another.
If we are discussing the whole as being infinite, then WHEN EXACTLY, HOW, and WHY would we, all of sudden, just SUPPOSE the whole is now finite?
Are we discussing the whole is 'infinite' or the whole is 'finite'?
From my perspective we end up with a series, and at the conclusion, WTF.bahman wrote: ↑Wed Feb 10, 2021 10:06 am In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
To 'me', you REALLY have a warped sense of, so called, "logical reasoning".
- Terrapin Station
- Posts: 4548
- Joined: Wed Aug 03, 2016 7:18 pm
- Location: NYC Man
Re: Infinity is real
The boundary can simply be the edges of W1. You're assuming there would have to be something beyond the boundaries of W1, but there need not be.
Re: Infinity is real
Which infinity? There are many of them.bahman wrote: ↑Wed Feb 10, 2021 11:12 am Here we discuss the whole is infinite. Suppose that the whole is finite (let's call it W1). This means that the whole is bounded by something (let's call it B1). B1 could be infinite or finite. In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
The usual philosophical problem rears its head: how does language relate to the world? Which infinity is reality like?
There was a challenge amongst computer scientists (can't find the details now), to define the "largest possible number" such that the program compiles in some $upper_bounded time, and it can execute in some $finite_amount_of_memory.
This is so that the notion of "counting to infinity" can be bounded by the known limits of physics.
Re: Infinity is real
I am that assuming that the whole is finite for sake of argument. This leads to the existence of a boundary that could be finite or infinite. Etc. In the end, I show that the whole is infinite.Age wrote: ↑Wed Feb 10, 2021 11:26 amLOL
You, managed ONCE MORE and AGAIN, to CONTRADICT your OWN writings, one sentence after another.
If we are discussing the whole as being infinite, then WHEN EXACTLY, HOW, and WHY would we, all of sudden, just SUPPOSE the whole is now finite?
Are we discussing the whole is 'infinite' or the whole is 'finite'?
From my perspective we end up with a series, and at the conclusion, WTF.bahman wrote: ↑Wed Feb 10, 2021 10:06 am In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
To 'me', you REALLY have a warped sense of, so called, "logical reasoning".
Re: Infinity is real
Yes, it is needed. Think of a sphere. You can tell that the surface is the boundary. But you need a three-dimensional space in order to imagine the sphere. The rest of the three-dimensional space in this case is a new boundary that is infinite.Terrapin Station wrote: ↑Wed Feb 10, 2021 12:21 pm The boundary can simply be the edges of W1. You're assuming there would have to be something beyond the boundaries of W1, but there need not be.
Re: Infinity is real
It is better to say that the whole is boundless.Skepdick wrote: ↑Wed Feb 10, 2021 12:32 pmWhich infinity? There are many of them.bahman wrote: ↑Wed Feb 10, 2021 11:12 am Here we discuss the whole is infinite. Suppose that the whole is finite (let's call it W1). This means that the whole is bounded by something (let's call it B1). B1 could be infinite or finite. In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
The usual philosophical problem rears its head: how does language relate to the world? Which infinity is reality like?
There was a challenge amongst computer scientists (can't find the details now), to define the "largest possible number" such that the program compiles in some $upper_bounded time, and it can execute in some $finite_amount_of_memory.
This is so that the notion of "counting to infinity" can be bounded by the known limits of physics.
Re: Infinity is real
For all intents and purpose, the observable universe is bounded e.g finite., even if the whole is boundless.
Which puts us in the domain of finite model theory.
Re: Infinity is real
Yes.Skepdick wrote: ↑Wed Feb 10, 2021 12:49 pmFor all intents and purpose, the observable universe is bounded e.g finite., even if the whole is boundless.
Which puts us in the domain of finite model theory.
Re: Infinity is real
Great. Then your next intellectual expedition should be into domain theory.bahman wrote: ↑Wed Feb 10, 2021 1:01 pmYes.Skepdick wrote: ↑Wed Feb 10, 2021 12:49 pmFor all intents and purpose, the observable universe is bounded e.g finite., even if the whole is boundless.
Which puts us in the domain of finite model theory.
Re: Infinity is real
What you have here is a description of the concept of infinity.bahman wrote: ↑Wed Feb 10, 2021 11:12 am Here we discuss the whole is infinite. Suppose that the whole is finite (let's call it W1). This means that the whole is bounded by something (let's call it B1). B1 could be infinite or finite. In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
The word "real" implies something beyond concepts.
You have here nothing which could advance a claim of reality.
I can describe a unicorn, that does not mean it exists.
Re: Infinity is real
So it implies woo woo?
When you transcend your meat suit, tell us what there is beyond concepts.
It does.
In the most trivial sense you made it exist. In your mind and in your language.
In the most non-trivial sense, if the universe is infinite then everything exists necessarily by sheer luck.
https://en.wikipedia.org/wiki/Infinite_monkey_theorem
Last edited by Skepdick on Wed Feb 10, 2021 1:28 pm, edited 1 time in total.
Re: Infinity is real
No. I am describing reality.Sculptor wrote: ↑Wed Feb 10, 2021 1:17 pmWhat you have here is a description of the concept of infinity.bahman wrote: ↑Wed Feb 10, 2021 11:12 am Here we discuss the whole is infinite. Suppose that the whole is finite (let's call it W1). This means that the whole is bounded by something (let's call it B1). B1 could be infinite or finite. In the first case, B1+W1 is infinite. In the second case, B1+W1 is finite (let's call this W2). W2 is finite. This means that W2 is bounded by something (let's call it B2). ETC. It is easy to see that we end up with a series, WF=W1+B1+B2...+BF, where BF is the final boundary and F is the related index. It is obvious that WF (the whole) is infinite if the length of the series is finite or infinite. QED.
Real means actually existing.
That is not correct. Please read the following comment.
Well, if the whole is boundless then unicorns for sure exist. What else can exist? Anything that you could possibly imagine: Dragon, Dracula, etc.