min a b + max a b = a + b
GCD a b * LCD a b = a * b
μ(A ∩ B) + μ(A ∪ B) = μ(A) + μ(B)

What is the general name for these correspondences? And what are other examples?

• Positive (incl. 0) numbers, ordered by subtractability, ≤.
• Integers, ordered by divisibility, |.
• Measurable sets / probabilities, ordered by inclusion / entailment, ⊆.

Show thread
Sign in to participate in the conversation

The social network of the future: No ads, no corporate surveillance, ethical design, and decentralization! Own your data with Mastodon!