End-to-end encryption means no one — not hackers, not government officials, not the company that owns your device — can read your message while it's being sent. It basically takes your message, jumbles it up, sends it, and unjumbles it once it reaches your recipient. So anyone who tries to intercept your message in between you and your recipient just gets a bunch of mess instead of the message itself. This is important because messages can pass through loads of hands on their way from sender to recipient, such as the service you use to send the message, the internet service providers involved, and servers that store the message data for any amount of time.
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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 ! ↩
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