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Programming in abstract math Can programming languages be…

Programming in abstract math

Can programming languages be useful to test conjectures or find examples in abstract math? Like abstract algebra, set theory, topology, etc. I could maybe use SageMath or Julia, idk (I don't like proprietary software). Sorry if it doesn't have much information, I didn't study those subjects yet, I'm from CS and interested in math so fusing both together seemed fun
#science
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