A
AntiTheist
Guest
That’s close.It appeared to me that you were presenting an argument for your claim that numbers are not real, where ‘real’ means non-imaginary, like GW, as opposed to imaginary, like Spiderman, but not wholly imaginary, like Potatoman (assuming that no such fictional character actually exists).
I would actually phrase it like this: numbers are certainly real in the sense that all thoughts and ideas (and models of reality) are real. They really exist as thoughts and models that can be abstracted from our experience and applied.
They are imaginary in the sense that any actual number itself is completely contingent on human thoughts.
You objected:
Which is perfectly true, but has nothing to do with my point.If all human minds vanished tomorrow, presumably the idea of George Washington would vanish too. That doesn’t mean that when we think of George Washington, we are not thinking of a real person.
The idea of George Washington is an idea based on an actual, non-imaginary person.
Numbers are different – numbers are models abstracted from reality. The models don’t correspond to anything not contingent on thoughts, like our ideas of people do.
The number “four” is perfectly real itself (that is, it exists as an item of human discourse, quite apart from my thoughts about it), but there’s not a “four” floating around somewhere in reality that it corresponds to. We can use the model to label things that are not contingent on my thoughts (like the number of legs on a dog), but those are legs, not the number four.
Now, I’m not “proving” this to you yet. I’m trying to establish that this is an unproblematic distinction. There is nothing contradictory about the position that numbers are real in one sense and unreal in another.
As long as you agree with this, we can move on.
Of course I can see that. I haven’t tried to do that yet – I’m just trying to establish that you agree that the distinction I’m making – between real and imaginary – is perfectly acceptable and not contradictory. I’m not asking you to agree with my classification of numbers in terms of real and imaginary. I’m just asking you to agree that the distinction I’m making works and is not inherently contradictory in any way.you have done nothing to prove that numbers are not real, that numbers would cease to exist if they ceased to be the object of at least one human being’s thought. Can you see that?
I’ve already discussed those examples, and I don’t find anything problematic or contradictory about saying that they exist in one sense and don’t exist in another.What about Spiderman? What about Ion? What about Jesus and God and GW and stories about them?
All I’m asking you to do is to affirm that my distinction between real and imaginary is a workable distinction.
If I’m going to proceed, I can’t have you later on pulling out the “But, but, but, what is reality?” card.
I want us to agree on how I’m using the words “reality” and “imaginary” before proceeding.
Please confirm that my distinction is acceptable.