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When mathematicians solve the Collatz Conjecture then we'll know. This will likely require creativity and thoughtful reasoning, which are non-algorithmic and ca
by theodorejb 4y ago
When mathematicians solve the Collatz Conjecture then we'll know. This will likely require creativity and thoughtful reasoning, which are non-algorithmic and can't be accomplished by computers.
- Jeff_Brown 4y ago> creativity and thoughtful reasoning, which are non-algorithmic and can't be accomplished by computers. Maybe. When computers solve it then we'll know.
- theodorejb 4y agoWe may use computers as a tool to help us solve it, but nonetheless it takes a conscious mind to understand the conjecture and come up with rational ways to reach the solution.
- flangola7 4y agoHuman minds are ultimately just algorithms running on a wetware computer. Every problem that humans have ever solved is by definition an algorithmic problem.
- theodorejb 4y agoOh? What algorithm was executed to discover the laws of planetary motion, or write The Lord of the Rings, or the programs for training the GPT-4 model, for that matter? I'm not convinced that human creativity, ingenuity, and understanding (among other traits) can be reduced to algorithms running on a computer.
- flangola7 4y agoThey're already algorithms running on a computer. A very different kind of computer where computation and memory are combined at the neuron level and made of wet squishy carbon instead of silicon, but a computer nonetheless. I don't see how it could be reasoned otherwise.