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That's what is usually confusing about mathematicians. They don't think using a depth-first tree going straight to the goal like someone from IT would, but rath
by GistNoesis 5y ago
That's what is usually confusing about mathematicians. They don't think using a depth-first tree going straight to the goal like someone from IT would, but rather go breadth-first, painting plenty of interesting concepts along the way, and chaining them seemingly aimlessly together until they crystalize right toward the right solution seemingly magically.
In his Physics Project Wolfram when talking about "Branchial space" is toying around the idea of recombining trees. Where one configuration of the state-space can be reached by various ways. This general concept of recombining trees has for example been used in generative flow networks https://yoshuabengio.org/2022/03/05/generative-flow-networks/ https://yoshuabengio.org/2022/03/05/generative-flow-networks... where they use it to directly generate molecule graphs that have useful properties among the sea of useless ones.
- yetihehe 5y ago> breadth-first, painting plenty of interesting concepts along the way, and chaining them seemingly aimlessly together until they crystalize right toward the right solution seemingly magically. Breadth-first is very usable when you need to find unknown ways/destinations or unknown ideas. Depth-first is good when you are sure of your destination.
- blamestross 5y agoAnd the whole point of Wolfram's approach is to let go of the idea that we know where the destination is.
- yetihehe 5y agoNo, it is to map side roads which can lead to more discoveries. E=mc^2 is several nice letters, but is an equation which leads to many different discoveries outside of destination. Wolfram just sees a new promising land and he tries to show potential for new discoveries, but he needs people to help discover it.