How does Anthropic ensure that the evidence they could realistically get in pessimistic worlds convinces people who make decisions that they're in a pessimistic world, and causes Anthropic to ask labs or state actors to pause scaling?
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Commutativity and associativity might sound the same, and indeed most commutative operations are also associative. But there are a few math operations that are only one or the other. Matrix multiplication, for example, is associative but not commutative Matrix multiplication - Wikipedia en.wikipedia.org/wiki/Matrix_multiplication#Non-commutativity . And surprisingly, floating point arithmetic — i.e. any math operator in JavaScript — is commutative but not associative Associative property - Wikipedia en.wikipedia.org/wiki/Associative_property#Nonassociativity_of_floating_point_calculation ! ↩。关于这个话题,服务器推荐提供了深入分析
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