The Ontological Status of Conway's Surreal Numbers in ODTOE: A Holistic (Non-Hilbert) Axiomatic — Overview
Бытийный статус сюрреальных чисел Конвея в ODTOE: холистическая (негильбертова) аксиоматика — обзор
A structural identification of Conway's surreal-number construction x = {Lx | Rx} with the fixed-point sublattice Fix(Φ) of the self-observation operator Φ = ι∘
Структурное отождествление конструкции сюрреальных чисел Конвея x = {Lx | Rx} с подрешёткой неподвижных точек Fix(Φ) оператора самонаблюдения Φ = ι∘Ô в ODTOE. О
详细摘要（English）显示
A structural identification of Conway's surreal-number construction x = {Lx | Rx} with the fixed-point sublattice Fix(Φ) of the self-observation operator Φ = ι∘Ô in ODTOE. Answers V.B. Kudrin's open question on the ontological status of surreal numbers in holistic (non-Hilbert) mathematics: rejection of Hilbert formalism, inclusion of the middle, and compatibility with a living continuum.