From mystery to history - a mystery within an enigma, illusions of certainty, the secret society, non-euclideanism, logics, the Rashomon effect, the analogy that never breaks down, symbols, thinking about thinking; the counter culture - by the pricking of my thumbs, the bare bones of history, creation or evolution, the ordinals versus the cardinals, counting without counting, fingers and toes, baser methods, counting with the base 2, the neo-2 system of counting, counting in fives, what's so special about 60? the spread of the decimal system, the dance of the seven veils, ritual geometry, the place-value system and the intervention of zero, conclusions about numbers; with form but void - numerology, the very opposite, Hilbert's scheme, Kurt Goedel, more surprises, thinking by numbers, Bourachique mathematique, arithmetic in chaos, logical friction, mathematics off form; the mothers of inventionism - mind from matter, shadowlands, trap-door functions, mathematical creation, Marxist mathematics, complexity and simplicity, maths as psychology, pre-established mental harmony?, self-discovery; intuitionism: the immaculate construction - mathematics from outer space, Ramanujan, intuitionism and three-valued logic, a very peculiar practice, a closer look at Broouwer, what is intuition?, the tragedy of Cantor and Kronecker, Cantor and infinity, the comedy of Hilbert and Brouwer, the four colour conjecture, transhuman mathematics, new-age mathematics, paradigms, computability, compressibility and utility; Platonic heavens above and within - the growth of abstraction, footsteps through Plato's footnotes, the Platonic world of mathematics, far away and long ago, the presence of the past, the unreasonable effectiveness of mathematics, difficulties with Platonic relationships, seance or science?, revel without a cause, a computer ontological argument, a speculative anthropic interpretation of mathematics, maths and mysticism, supernatural numbers?.
