2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219053I show--contrary to common beliefs tolerated by the 'bosses'--that any interpretation of ZF that admits Aristotle's particularisation is not sound; that the standard interpretation of PA is not sound; that PA is consistent but omega-inconsistent; that a sound finitary interpretation of PA is definable in terms of Turing-computability; and that PA cannot be consistently extended to ZF.61 pages. Latex. Minor editing and formatting. References removed. An update of this paper is available at http://alixcomsi.com/24_The_boss_factor_Update.pdfGeneral Mathematics03B10text