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====== Pagallo, H. Aliquid Est Sine Ratione: On Some Philosophical Consequences of Chaitin’s Quest for Ω (2007) ======

en Calude, C.S Randomness and Complexity. From Leibniz to Chaitin World Scientific, Singapore, 2007


In order to examine some philosophical consequences of Gregory Chaitin’s
quest for 
 this paper comes in five sections. First of all (first section),
I consider Chaitin’s interpretation of Leibniz’s thought and how Chaitin’s
halting probability 
 invalidates Leibniz’s principle of sufficient reason.
Then (second section), I compare this analysis with a classic reading of
Leibniz, namely what Heidegger states in The Principle of Reason. Once
we have grasped Heidegger’s criticism to the principle nihil est sine ratione
(section 3), I will stress some paramount differences between Heidegger’s
thesis and Chaitin’s theorems (section 4). By showing some flaws in the
German scholar’s viewpoint, what I would like to lay emphasis on is the
impact of Chaitin’s results in contemporary philosophical debate (section
5).

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