Dasein - Monoskop

HEIDEGGER'S ONTOLOGY AND LANGUAGE AS THE UNIVERSAL MEDIUM 1 SI
presuppose logic as a science, then logic itself could never get off the
ground; it would have to wait for itself to be developed:
... the inescapability of rule usage does not in itself immediately
imply the inescapability of logic. ... For otherwise the thoughtful
justification of logic itself would be intrinsically impossible,
or superfluous. A fully developed logic would have to exist then
already insofar as there was thought. 177
Furthermore, the inevitability of abiding by laws of thought cannot
be explained by logic, but can only be clarified by metaphysics
which studies the inner essence of science itself. Finally, even the
most basic laws of logic need metaphysical analysis, explications,
and justification. 178
However, Heidegger does not simply oppose logic as the foundation
of philosophy. He believes that the traditional mistake of
treating logic as the foundation of philosophy has recently led to a
still worse distortion: since logic has been reduced to what Heidegger
calls Logistik, viz., mathematical logic, mathematics threatens to
become the model for philosophy. 179 Indeed, as early as in 1923, Heidegger
claims that this threat has already materialized—in HusserPs
phenomenology: "Husserl relied on a certain ideal of science, an
ideal predelineated by mathematics and mathematical science. ...
This scientific ideal became effective in that one tried to raise description
to the level of mathematical strictness. ... But all this is
quite mistaken." 180 The opposition to mathematical logic had, as we
saw earlier (p. 141), been already important for Heidegger in 1912.
Back then he had largely followed Rickert's paper "The One, the
Unity, and the Number 'One'", which interestingly enough was the
only work by Rickert that Heidegger held in high esteem throughout
his life (Gadamer, pers. comm.). In the twenties, however, Heidegger
bases his rejection of mathematics and mathematical logic on
two further arguments. On the one hand, he claims that due to the
state of crisis that mathematics finds itself in, it is ill-suited as a
model for other sciences:
Mathematics, that seemingly bestfounded, is today in crisis with
respect to its foundations! What, after all, does it deal with?