Ontomathematical Postmodernity II. “The Name of the Rose” and the Third Dimension of Human Experience: Philosophical Semiotics and Hermeneutics, or Linguistic Turn versus the unwritten “Being and Language”

18 December 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

The paper continues the ontomathematical investigation of Postmodernity as involving the third dimension of human experience after Hegel, Marx, and Marxism - Leninism. “Language” instead of “time” or “development” is its new name, which does not call for social revolutions any more. The doctrines of Peirce, Wittgenstein (both “Tractatus” and “Philosophical Investigation”), Heidegger (before and after “die Kehre”), Gadamer’s hermeneutics and its relation to Heidegger’s hermeneutics, Rorty, Derrida, the philosophical interpretation of Umberto Eco’s “The Name of the Rose” are considered to search for its “mysterious name”, that of the third dimension of human experience. Ontomathematics allows for them to be reinterpreted as the postmodern introduction of the third dimension of human experience as language, semiotics or “sign”. The conclusion conjectures that mathematics can be reinterpreted as “consistent semiotics” obeying universal Boolean syntax for the two-dimensional space of human experience versus the three-dimensional “generalized mathematics” of semiotics as ontomathematics. The semiotic interpretation of the Gleason and Kochen - Speaker interpretation is involved.

Keywords

Derrida
Gadamer
Hegel
Heidegger
language
linguistic turn
Marx
Marxism - Leninism
mathematics as consistent semiotics
ontomathematics
Peirce
Rorty
semiotics
sign
third dimension of human experience
Wittgenstein

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