Mathematics is all about developing logical tools. Basically things like “if we start with this assumption, then you can make this conclusion”. After you’ve developed all of these tools, then you can look at the universe around you and apply those tools to your observations in order to come to new conclusions about that same universe. There necessarily needs to be that input that ties it back to reality. Mathematics on its own doesn’t tell us anything about reality.
idk, it seems to have described so much about the universe with so few input. And can just study itself like in “Gödel’s incompleteness theorems” to give constraints on what you aspire to achieve with it. I’d call math/logic/reason fairly strong by themselves.
I’d call math/logic/reason fairly strong by themselves.
What does strong mean in this context? It’s a very useful tool. No one is denying that. It just doesn’t tell us anything about the universe without input from that same universe.
Mathematics is all about developing logical tools. Basically things like “if we start with this assumption, then you can make this conclusion”. After you’ve developed all of these tools, then you can look at the universe around you and apply those tools to your observations in order to come to new conclusions about that same universe. There necessarily needs to be that input that ties it back to reality. Mathematics on its own doesn’t tell us anything about reality.
idk, it seems to have described so much about the universe with so few input. And can just study itself like in “Gödel’s incompleteness theorems” to give constraints on what you aspire to achieve with it. I’d call math/logic/reason fairly strong by themselves.
Yes, few inputs. Not none.
What does strong mean in this context? It’s a very useful tool. No one is denying that. It just doesn’t tell us anything about the universe without input from that same universe.
hmm, idk, okay.