Furthermore, numbers exist independent from human thought because if all minds on earth suddenly ceased to exist, our solar system would still contain one sun and one earth, regardless of the fact that there were no longer any human minds here to comprehend this reality.
Well, if there were no minds, there would be nothing to differentiate where one object “begins” and another object “ends,” so no, there wouldn’t be “one” anything.
1+1=2 is a universal constant, meaning that it is the same regardless of time, culture or location.
The human mind perceives objects by arbitrarily (and unconsciously) drawing borders around “things.” I perceive the thing I’m sitting on as “one chair,” though I could just as easily perceive it as a collection of a large number of individual wooden parts that are interconnected.
From the experience of perceiving an object, humans abstracted the concept of “one.” From perceiving one object and one object placed next to each other, humans abstracted the concept of two, and drew the conclusion that one and one make two. From there, you can build a whole system of numbers that is useful for determining things in the real world (something we can investigate and determine that it has actual, practical use).
At any rate, I’m not terribly keen to get sidetracked into a discussion of math because it’s largely irrelevant. Even if math is something intangible that exists “out there,” humans are only aware of it because we can detect it, because we can label an object “one” and another object “one” and confirm that one and one are two. We can confirm that our calculations map to things in the real world.
EDIT: You say this yourself when you claim that people “discovered” math. Discovery necessitates gathering evidence and observations.
But if, after having read my above post, it is still your position that the number one does not exist independent of the mind then I ask you demonstrate it by taking on this task [of defining “one”]
You’re playing childish games now that are mixed up about the way language works. You might as well play “the dictionary game” where you ask me to define a word and then ask me to define each of the words I used to define the first word and so on and so forth until I eventually use the first word again.
“One” is the word we use to label things we perceive as an individual unit. I can talk about my computer as “one thing,” and I can also talk about it as a collection of chips and wires and other individual “things.” And I can talk about those things as collections of subatomic particles.
Correct me if I’m wrong, but when you say that we should not believe in something “unless we have evidence”, what you are really saying is (based on everything you’ve stated so far in this thread and others), “unless it affects the physical world and such effects are detectable specifically by a 21st Century human being using the scientific method.”
Ok. “Evidence” does not have to strictly be scientific. I have plenty of evidence that my car will start when I turn the key, regardless of whether or not I have conducted any experiments.
My claim is that a 21st century human being has no good reason to accept a claim until it is detectable by a 21st century human being.
If we lived in the 18th century, then an 18th century human being would have had no good reason to accept a claim until it was detectable by an 18th century human being. And so on and so forth.
I’ll give you an example: the Big Bang theory. We know now, thanks largely to our measuring of the cosmic background radiation, that the claim that the universe was once a singularity and began to expand (and is still expanding) is true. If we lived in the 18th century and some guy made the claim that the Big Bang occurred, and he had no good evidence for it – let’s say that it’s just a story that he made up and happened to like – then our 18th century selves would have no good reason to believe that it’s true.
In that particular scenario, the guy making the claim is ultimately correct – it’s just that we have no good reason to believe him, and
he has no good reason to make the claim. In this example, the fact that he’s right is accidental – he’s right only because he got lucky and the story that he randomly made up just happens to coincide with the facts. But he doesn’t have a good reason to make his claim.
Until we discover some way to detect the thing he’s talking about, we have no good reason to believe him, and he has no good reason to make the claim.
I’m drawing a distinction between
the truth of the matter and
what we believe about the truth of the matter.
To use another example, it could be that the crazy homeless guy raving about aliens is 100% right, but I have no reason to believe him, and he has no good basis for making his claim.
So, is it
possible that your god exists? Sure, in the same way that it’s
possible for any claim to be true. But we don’t have any good reason to think that it is true until we have evidence for it.
So, to refine my definitions even further. “Exist” means “be a part of reality,” but the practical definition of exist is “affecting the world in a detectable way” because this is the one and only way we could ever know that something exists.
I’m really not sure how much clearer I can be.