Vers une genèse a-subjective des idéalités mathématiques. Cavaillès critique de Husserl

In this paper our purpose is to explane and discuss the essential objections Cavaillès raised to Husserlian phenomenology in his last text “On Logic and Theory of Science”. In this text Cavaillès questioned the foundational status of cogito and the capacity of consciousness to produce new ideal objects.; and he replaced this capacity with an anonymous generating necessity that would be dialectical and would take place intin the ideal domains of objects. We have to determine if such objections question every philosophy philosophy of consciousness in general, or if they only question a particular interpretation of Husserlian transcendental subject; and if they necessarily lead us toward a Spinozist or Hegelian position in philosophy of mathematics.