PeroK's latest activity
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PeroK reacted to pinball1970's post in the thread Undergrad Is infinity a necessary concept? with
Like.
Yeah, what a sad story. Cantor shook up the idea of infinity from what I have read (lay person perspective) and the mathematics... -
PeroK replied to the thread Undergrad Is infinity a necessary concept?.That's a different usage of the term "unbounded".
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Hi all, I'm Riley, a current PhD student studying chemistry(?!). My project concerns mainly Raman spectroscopy, so my interests do not...
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PeroK reacted to WWGD's post in the thread Undergrad Is infinity a necessary concept? with
Informative.
Look up NJ Wildberger, he's got a YouTube channel.https://youtube.com/shorts/8uGQyxt_Pso?si=_dT3apQAHr12U4Pb -
PeroK reacted to Matterwave's post in the thread Undergrad Is infinity a necessary concept? with Like.
It would be interesting if a mathematical Finitist could come and explain their position in a clear and coherent way. I suspect most...
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PeroK replied to the thread Undergrad Is infinity a necessary concept?.You've given several good examples of why finite mathematics loses a lot of what we know as conventional mathematics. It's not just...
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PeroK reacted to Roberto Pavani's post in the thread Undergrad Is infinity a necessary concept? with Like.
Consider ##\sin(1/x)## on ##(0,1]##. For any ##N \in \mathbb{N}##, let ##\varepsilon=1/N##. Then the interval ##(0,\varepsilon)##...
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PeroK replied to the thread Undergrad Is infinity a necessary concept?.This is wrong. If Hilbert's hotel is finite and it's full, then it's full. If it's not finite, then it's infinite (not finite). It...
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PeroK reacted to DaveC426913's post in the thread Undergrad Is infinity a necessary concept? with
Skeptical.
Latecomer here. I got the impression that the OP was more wondering if - rather than the very concrete entity of infinity, the concept... -
PeroK reacted to Roberto Pavani's post in the thread Undergrad Is infinity a necessary concept? with Like.
Another reason I find infinity fundamental is that, if we want to work with Hilbert spaces of functions, infinity seems unavoidable. A...
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PeroK reacted to Roberto Pavani's post in the thread Undergrad Is infinity a necessary concept? with Like.
Apologies in advance to the mathematicians here for my inevitable imprecision. I am not trying to give a formal definition of infinity...
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Mathematica does such computations quite easily.
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PeroK reacted to FactChecker's post in the thread Undergrad Is infinity a necessary concept? with Like.
If your theory of reality is limited by computer processor speed, you need to think hard about what is real. If that is true, how was...
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PeroK replied to the thread Undergrad Is infinity a necessary concept?.It's a significant step away from standard mathematics and logic to assume that the physical nature of the universe has anything to do...
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Yeah, I mean you cannot even use the typical axioms of addition on the natural numbers.
