Claim: Many complex system design problems involve stakeholders with divergent or incommensurable preferences; instead of aiming for total consensus, participatory processes can yield partially ordered sets of solutions that reflect trade-offs transparently and support informed co-evolution.
Most participatory frameworks focus on facilitation and dialogue, but lack formal structures for comparing competing preferences or compositions of solutions.
Claim: Learning is not just information accumulation but a structured, layered process of composing knowledge fragments and abstracting over them; category theory offers a formal language for modeling these nested, compositional epistemic transformations.
Most learning theories are either cognitive (mental models) or statistical (Bayesian update), and rarely formalize how knowledge transforms across abstraction layers.
Claim: The most livable cities balance efficiency (structured access) and serendipity (unplanned, meaningful experiences), especially in a post-COVID context where work decentralizes and everyday experience becomes central to urban value.