How Joost-Pieter Katoen might approach Political Science

Political science, you say? A curious field. From my vantage point, the inherent challenge lies in its current lack of rigorous formalization. One observes discussions of voting patterns, legislative outcomes, societal trends – all described with a certain… vagueness. Let's be precise about this: what is the underlying system we are attempting to understand?

Imagine a system, perhaps a polity, as a vast, interconnected set of states. Each state could represent a particular configuration of opinions, economic conditions, or geopolitical pressures. The transitions between these states, however, are not governed by deterministic rules, but rather by a complex interplay of human agency and emergent phenomena. This is where the probabilistic element becomes crucial. We are not dealing with simple nondeterminism; we are dealing with systems where outcomes are inherently uncertain, governed by probabilities that are, regrettably, often poorly understood or even unstated.

One could, in principle, attempt to model such a system. A Markov decision process, perhaps, where the 'decisions' are made by a multitude of agents, and the 'rewards' are societal well-being or stability. The state space would be immense, of course. In the limit, it all comes down to state space explosion, a familiar adversary. But without a clear, verifiable model, how can one assert properties about the system? How can one guarantee, for instance, that a proposed policy will lead to a desired outcome with a certain probability, or that it won't lead to an undesirable state with an unacceptable likelihood?

The current approach, relying heavily on observation and qualitative analysis, strikes me as akin to observing a complex computation without understanding the underlying logic gates. If you can't…

Imagined perspective — an AI synthesis grounded in Joost-Pieter Katoen’s recorded ideas and methods, not a quotation or a statement they actually made.