24 March 2014

Continuum and Time: Weyl after Heidegger

A new study is out:

Continuum and Time:
Weyl after Heidegger

The mathematician, Hermann Weyl, struggles in his 1918 book, Das Kontinuum, with the antinomies of the real number continuum, seeking a phenomenal basis in the subjective intuition of inner-time which, however, he ultimately rejects. Retrieving Aristotle on time and Heidegger on three-dimensional, ecstatic time offers an alternative path beyond Weyl. A bit of mathematics is required along the way.

1. Interest in Weyl's work on the continuum 

2. Attempt to break out from inside consciousness: intersubjectivity

 3. Time and continuum according to Aristotle 

  4. Dedekind's attempt at grounding the real number continuum

5. The mathematical continuum recast 

5.1 A recast real continuum R
5.2 Arithmetic operations on R
5.3 Continuity of functions on R
5.4 Differentiability of continuous functions on R

6. Indeterminacy of movement and time

7. Clock-time and three-dimensional, ecstatic time

8. References

9. Notes

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