 The (formal) language obtained in this way is closely related to Łukasiewicz’s infinite-valued logic \(\rL_{\infty}\): in fact the two systems coincide if one assigns to a sentence \(\phi\) the truth value \(1-\langle\phi\rangle\), with \(\langle\phi \rangle\) for the risk value of asserting \(\phi\). And he even adds the remark “that, with this dialogue interpretation, Łukasiewicz logic is exactly appropriate for the formulation of the ‘fuzzy set theory’ first described by L.A. Zadeh (1965); indeed, it is not too much to claim that \(\rL_{\infty}\) is related to fuzzy set theory exactly as classical logic is related to ordinary set theory”. 