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And humans have difficulties to even comprehend the smallest infinity
And humans have difficulties to even comprehend the smallest infinity(read aleph-zero).
Since we are in Jokes & Stories, here's the story about Hilbert's Hotel.
Since we are in Jokes & Stories, here's the story about Hilbert's Hotel.
Speak fer yerself, toots!It's my belief that we are unable to comprehend infinity.
Speak fer yerself, toots!
I find infinity to be uderstandable & useful.
(If only I could learn to spell (understandable".)
I can & have.Bet you cannot describe what you see there.
Or seriously useful, eg, imagining how our universeIn maths infinity is used as a concept to solve otherwise unsolvable problems.
In science, invoking infinity means something has gone seriously wrong.
And humans have difficulties to even comprehend the smallest infinity(read aleph-zero).
Since we are in Jokes & Stories, here's the story about Hilbert's Hotel.
Bet you cannot describe what you see there.
In maths infinity is used as a concept to solve otherwise unsolvable problems.
In science, invoking infinity means something has gone seriously wrong.
Edit: thats pure maths, not applied maths my the way
I can & have.
Think in terms of properties, function, & utility.
These things are easily understood.
Even @Polymath257 grasps the basics.
Or seriously useful, eg, imagining how our universe
could exist in an infinitely larger multi-verse.
I can do this with half my brain tied behind me back.
It's my belief that we are unable to comprehend infinity. One can imagine they are there but it can always be more (or less) than ones imagination.
During a bad time in my life i spent many hours trying to imagine infinity in order to take my mind of what was really occuring. I couldn't get there but im sure i could see infinity on a clear day.
Not true. Infinite sets are common. Dealing with different sizes of infinity is necessary for even an undergraduate in math.
And I would bet you will find infinity in the form of limits in almost every advanced physics book.
Thinking is what it's all about.Or so you think.
I see definitions, descriptions, function, & utility.But what to you see there?
I guess that depends somewhat on what you mean by the word 'comprehend'. I understand the properties; I can predict new characteristics; I teach about it on a regular basis; I can distinguish different sizes of infinity from others; etc.
What else is required for comprehension?
Thinking is what it's all about.
I see definitions, descriptions, function, & utility.
Sure but they are imaginary infinities that cannot be applied to the real world.
I bet you wouldn't. I certainly have never seen such a limited.
Mathematics is useful to model of reality.Jolly good, do these things exist in reality, i.e. outside your mind?
Vision is a good topic to help understand infinity. You know what parallax is? Usually your eyes lines of sight cross at the point you're viewing. Now imagine they don't, no matter how far away the object is. Mathematicians (like @Polymath257) are always looking into a distance you can't seem to see. That's how you spot them in a crowd. They also are unable to focus on tasks or objects right in front of them.Or so you think. But what to you see there?
What properties has infinity got?
How can an infinity have new characteristics?
Jolly good, do these things exist in reality, i.e. outside your mind?