Category \(\Set\)

• \(\ob{\Set}\) are all the sets
• \(\hom{E,F}\) are all functions from \(E\) to \(F\)
• ∘ is functions composition

• \(\ob{\Set}\) is a proper class ; not a set
• \(\hom{E,F}\) is a set
• \(\Set\) is then a locally small category