Giovanni Asproni discusses the concept of incremental architecture and its benefits in software development during the Accu Conference in April 2018. He critiques the rational design process, suggesting that software design is often not rational and advocates for an incremental approach to build systems in manageable increments while engaging stakeholders early and iterating as needed. The document emphasizes the importance of simplicity, testing, and the evolving nature of software architecture, particularly in legacy and brownfield systems.