Well, that is up to you. If you can make a coherent system along these lines, then go for it. That's what the Tractatus says about logic.Equality and identity are distinct ideas... — Metaphysician Undercover
I presume you do not mean that abstract entities are generated from our talking about what we do, — jkg20
mathematics is nothing over and above a human activity, and since we are finite, nothing we can construct is going to be infinite. — jkg20
So we have him baulking at the the diagonal and rejecting incompleteness as a result. Yet I am in agreement with his constructivist views, as set out above. I was bothered that the one might necessitate the other; however it seems now that they are unrelated. — Banno
If you can make a coherent system along these lines, then go for it. — Banno
"1" refers to an abstraction , as do all natural numbers."1" has the superficial grammar of a noun, but this is misleading.
Rather "1" is to be understood through its role in the process of counting. It is understood in learning how to count, not in pointing to individuals. — Banno
'Hilbert said that in a proper axiomatization of geometry, “one must always be able to say, instead of ‘points, straight lines, and planes’, ‘tables, chairs, and beer mugs’”' — Baden
Rather "1" is to be understood through its role in the process of counting. It is understood in learning how to count, not in pointing to individuals.
And of course this goes for other mathematical entities, too. They are things we do, not things we find. — Banno
The moment they were done reciting seems random, there seem to be no sufficient reason their recitation was done at one time and not another, any other. — jorndoe
we pretend that integers are real things, and this leads us on to more complex ways of talking about integers, and so a sort of recursion allows us to build mathematics up from... nothing. — Banno
Yet Sam26 was able to make perfect sense of what I said, and everyone else I have had a conversation with on these forums, was able to make perfect sense of what I said. You are the only one that has a problem making sense of what I say.I've pretty much given up on Harry. Too hard to make sense of his posts. — Banno
I don’t get it.
— NOS4A2
Yeah, I noticed that. — Banno
...the same number of what? In starting anywhere, you'd change the context of your counting, and would be counting something different, so how would you get the same number?But you can start anywhere... and you get the same number. — Banno
These are the symptoms of a delusional disorder. — Harry Hindu
Forum members who've spent any amount of time in dialogue with Banno know he's all about force and politics. (For all his emphasis on a foundational charity.) — ZzzoneiroCosm
Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.