Introduction -- Part one: Encrypting the number. The poem ; The unique number ; The Aporia of Igitur ; The incomparable meter ; The vortex of the code ; 707 ; In sum ; Cosmopolis ; Provisional conclusion -- Part two: Fixing the infinite. An idle chance? ; Presentation, representation, diffusion ; Message in a bottle ; To be chance ; A quavering number? ; Clues ; The veiled letter ; The siren ; At a stroke ; Final remarks -- Conclusion -- Appendix 1: The poems. A throw of dice ; Toast/Salvation ; 'Beneath the oppressive cloud stilled--' ; Sonnet in -x -- Appendix 2: The count.