This page shares writings that are not addressed to a specific academic conversation (seu journal), or else are not yet ready for archiving in the great library of mankind called ‘publication’.

Reflections on the Nature of Mathematics

(Download links coming slowly.)

Part I: Activity of Mathematics

§ Games: technical, logical-rational, phronetic-aesthetic. § Modes: science of objects, game of rules. § Structure and Narrative: space and time. § Abstract and Concrete. § Five Archetypes: composer, performer, teacher, philosopher, puzzle-solver.

Part II: Art of Mathematics: music, language, code

§ Standard of Judgment: learning to play proofs. § Technique. § Depth Grammar. § Translation? § Meaning. § Exercise. Education.

Part III: Character of Mathematics

§ Ingredients: metaphysics, language, puzzles. § Beauty and Fetish, Depth and Complexity. § Things and Parts. § Analysis and Synthesis. § Layers and Texture. § Visibility. § After Infinity.

Part IV: Evolution and Revolution of Mathematics

§ Science and Technology: Revolution and Accretion. § Application. § Industrialization: light and massive technology. § Projects, Problems, Programmes. § Circulation.


2017: Wittgenstein’s ‘Geometry of Colour’

Philosophy of Science

2016: Structuralism and the Problem of Coordination

2016: Symmetry, Representation, and the Hole Argument