Abstraction, existence and reality -- Mathematics of the gods -- Mathematical and philosophical formulas -- Growth and decrease, number and nature -- Katà gnómonos phýsin: the nature of the Gnomon -- Dýnamis: the capacity to produce -- Intermission: spiritual mechanics -- Zeno's paradoxes: the explanation of movement -- The paradoxes of plurality -- The limited and the limitless: incommensurability and algorithms -- The reality of numbers: Cantor's fundamental sequences -- The reality of numbers: Dedekind's section -- Mathematics: a discovery or an invention? -- From the continuum to the digital -- The growth of numbers -- The growth of matrices -- The crisis of fundamentals and the growth of complexity: reality and efficiency -- Verum et factum -- Recursion and invariability