Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.
Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Explores natural transformations and adjunctions in category theory, illustrating concepts through concrete examples and discussing the conditions for the existence of adjoints.
