According to Becker, the dispute between the intuitionistic (construction as the guarantor of mathematical existence) and the formalistic (non-contradiction as the guarantor of mathematical existence) definition should be resolved in a phenomenological perspective on the problem. The question of the legitimacy of the transfinite should also be resolved in the perspective of a phenomenological constitutive analysis. This analysis provides the key to the problematic of mathematical existence: the result of Becker’s investigations on the logic and ontology of the mathematical is (...) a solution in favour of the “genuine phenomena” of intuitionistic mathematics and the infinite. “Genuine phenomena” are those which turn out to be accessible for constitutive analysis precisely as phenomena of “pure consciousness” and even of the “concrete historical Dasein.” The final solution in favour of the “genuine phenomena” of intuitionistic mathematics and the infinite is motivated by the fact that Hilbert’s formalism does not satisfy the “chief phenomenological principle of demonstrability” (Ausweisbarkeit). (shrink)

In this contribution the author tries to show the relation between Lévinas and Husserl regarding the question of language and tongue. He begins by explaining what is the conception of language in the Logical Investigations and of tongue in Ideas II. The former allows Husserl to develop a univocal language, whereas the second reinscribes the tongue in the body with his intersubjective dimension. Husserl will have an influence on Lévinas, but the latter will reject his conception of language, for being (...) too formal, and hold Husserl’s concept of the tongue to be a presupposition. Thus, the tongue becomes the way the alterity of the other expresses itself, the way a meaning appears independently from the subject. (shrink)

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