🧠 Categorical Peter Principle
Let’s model the Peter Principle as a (somewhat playful) functor:
Covariant Peter Functor:
Let C be the category of competence levels.
Let R be the category of responsibility levels.
Then a functor F:C→R maps increasing competence to increasing responsibility.
But (here’s the punchline):
This functor preserves structure only up to the breaking point.
At each step, you’re promoted to a position requiring slightly more competence than you currently have. The mapping continues until the functor fails to be faithful—you get promoted past the limits of your competence, and the correspondence breaks.
(by now you know who wrote this)
#peterprinciple #categorytheory