There must be nothing that stands next to infinity on the same level, as otherwise that would be a limit/end and therefore it would not be true infinityĪccordingly, there must be nothing that stands above infinity, otherwise that something above would be the infinite The answer is given, with a little thought about the above paradoxes, through simple logical analysis: Because the solution, when reading it, might seem obvious, so you may only appreciate it when you tried yourself). (if this question is new to you, it might be worthwhile for you in order to participate in this to stop reading here for the time being and read on before to try to solve the paradox for once for yourself. Which leads us to the question: what is the relationship between the finite and the infinity in such a way that the paradox(es) mentioned do not arise? Moreover, an infinity, which itself is limited by something else (here by the finite) is limited, insofar as it is itself limited, so it is not infinite in that sense, but itself finite (this is the same argument after the turned to the other side). And can one then not above this meta-infinity another meta-infinity construct, etc.? This is the idea that is used in mathematics: still a higher meta-level and one above it - only another way to create “bad infinity” on a new level). But if one had to imagine that the Finite on the one side, Infinity on the other side, then there would be something beyond the finite and infinite.
On the other hand, it is in its name, after all, defined by the finite differentiated.
INFINITY META MEANING HOW TO
So it has no end/limit.Īccording to Aristotle, we define terms by mentioning a “higher”/“upper” term in the hierarchy of termns (e.g. furniture) and then delimit within this field what sets the matter apart from the others that are related to it (e.g. a chair a furniture used for sitting) - See the concept tutorial.īut how to do this with the infinite? By definition it is unlimited, so it has no limit, so it has nothing higher above it. If we say “infinity,” there is an “in” (a Latin prefix meaning “not”) in infinity, so a negation. Something finite is something that has an end, a limit, something limited. true infinity: Problem definition:Ī “true” (= corresponding to its concept, self-determining) infinity, would be one that is not negatively affected by finiteness. In a first approximation we could imagine bad infinity as an infinite line, true infinity as a circle (as the circle has its limiting border in itself). The term “bad infinity,” like we see it in mathematics in an “endless” line or the endless row of numbers is mentioned here as a contrast to better understand what Hegel in the following means when he speaks of infinity, in the sense of the below represented good, true, qualitative, “philosophical” Infinity.
I await feedback with interest.Hegel defines “bad infinity” the one in which the operation to overcome finiteness always remains the same, repeated (“n+1”) and never comes to its destination (its end - here: reaching infinity). I hope this rainbow coloured infinity and customizations of it such as mine for this site blow the tainted puzzle piece right out of the water. My new image before I increased its size to the necessary width for a header was this: Having been thoroughly impressed by this symbol, and believing it important to walk the walk as well as talking the talk I set about using it as the base for a new header for this blog, and came with putting the name of the blog inside the symbol, one half in each loop, and one half green and the other half red. Then came the symbol itself, a rainbow (or spectrum) coloured infinity symbol, as shown below. Naturally I read it with some enthusiasm, starting with the explanation of why the puzzle piece is unacceptable (it was chosen by others, not us, and it is associated with a hate group who masquerade as an autism organisation). This morning when I was going through my emails I came across a reference to a blog post on thesilentwaveblog titled “ Autism Spectrum symbol?“. As one who has read plenty about infinity and who is autistic the symbol that now forms the header of this blog has a particular resonance… THE DISCOVERY Many mathematicians have written about infinity, including Georg Philip Cantor who demonstrated conclusively that not all infinities are equal. Before going on into the main body of the post I am going to point out that is this post will be featuring coloured text the distinction between ordinary text and links is the usual in such circumstances – links are underlined and in bold. I hope you have noticed a rather dramatic change to the header of this blog! The rest of this post is devoted to explaining the reason that I have adopted that particular header.
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