> The truths of mathematics would be the same, because they're true by definition. Ditto for the truths of physics
These are pretty strong statements for which there’s no arguments provided for but serve as assumptions for the rest of the article. I don’t think there’s consensus among mathematicians, philosophers, cognitive scientist, or biologists on this.
Mathematics is most definitely a human endeavor, and so we can’t really make claims about its existence in the universe independent of humans. I think alien analogs to mathematics are unlikely to match ours. If we are lucky, I think it could be the case that the various structures could be similar, but the likelihood the implementations resemble each other are slim. It’s even a stretch to assume the structures would relate. Even humans do not fully agree on mathematics. There is no “one” mathematics because mathematics is the human exploration of idealized objects using a variety of human logical systems.
And then there’s the possibility that our mathematics and overall perception of reality is shaped by our biology in far deeper ways than we imagine and currently understand.
These are pretty strong statements for which there’s no arguments provided for but serve as assumptions for the rest of the article. I don’t think there’s consensus among mathematicians, philosophers, cognitive scientist, or biologists on this.
Mathematics is most definitely a human endeavor, and so we can’t really make claims about its existence in the universe independent of humans. I think alien analogs to mathematics are unlikely to match ours. If we are lucky, I think it could be the case that the various structures could be similar, but the likelihood the implementations resemble each other are slim. It’s even a stretch to assume the structures would relate. Even humans do not fully agree on mathematics. There is no “one” mathematics because mathematics is the human exploration of idealized objects using a variety of human logical systems.
And then there’s the possibility that our mathematics and overall perception of reality is shaped by our biology in far deeper ways than we imagine and currently understand.