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You mean like a dependency tree? There isn’t a comprehensive one — it would be way too big and we don’t have all mathematical knowledge written down in one plac
by xanderlewis 2y ago
You mean like a dependency tree? There isn’t a comprehensive one — it would be way too big and we don’t have all mathematical knowledge written down in one place anyway.
But if you’re interested in any given classical result, if you ask I’m sure a mathematician can give you a rough idea of what the path back down to first principles is. If you’re not literally interested in starting by assuming the existence of the empty set, say, then opening any introductory book on the topic will give you an idea. Just look at the proof of the result and follow its references back. It won’t go that deep.
- galaxyLogic 2y agoI see. I was just thinking I would personally appreciate seeing a big graph of proof-dependencies. A bit like "Seeing the Forest from the Trees". Every mathematician is working on their own TREE, I assume. But might be useful if somebody was looking at how the FOREST is doing.
- lupire 2y ago> it would be way too big and we don’t have all mathematical knowledge written down in one place anyway. Yet somehow Google managed to index the Internet. And the human genome is indexed.