Q&A: Actual Infinity
Originally published:
This is an English translation (via GPT-5.4). Read the original Hebrew version.
Actual Infinity
Question
I looked into it a bit online, and there are many mathematical approaches that דווקא do accept actual infinity. This issue is disputed in the world of mathematics, and I don’t believe I can decide in favor of one side or the other. What other reason do I have to reject concrete infinity?
Answer
The reasons are listed in my The First Existent. If you don’t agree, that’s fine. It’s your right.
Discussion on Answer
I explained it there. If you have a concrete question, you can ask it. I’m not going to write a supplementary essay here.
I read the booklet; I’m just trying to understand the reasons more deeply..
The examples from Hilbert’s hotel show that there is strangeness and ambiguity in the concept of infinity,
and elsewhere in the booklet you argued that an infinite regress does not provide an explanation..
Are the ambiguity of the concept of infinity, and the fact that regress does not constitute an explanation, the reasons not to accept infinity?
That sounds a bit weak to me.. God is also an ambiguous concept, and the fact that regress does not constitute an explanation does not mean that it is not possible. I’d be happy if you could explain more deeply, because I’m afraid I didn’t completely manage to understand the reasons you listed