39 citations · 49 across the 3 of their papers we have counts for
3 papers
math.HO2005★ 39 cited
Epistemology as Information Theory: From Leibniz to Omega
G. J. Chaitin
In 1686 in his Discours de Metaphysique, Leibniz points out that if an arbitrarily complex theory is permitted then the notion of "theory" becomes vacuous because there is always a…
math.HO2004
How real are real numbers?
G. J. Chaitin
We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871-1956).
math.HO2004★ 10 cited
Irreducible Complexity in Pure Mathematics
G. J. Chaitin
By using ideas on complexity and randomness originally suggested by the mathematician-philosopher Gottfried Leibniz in 1686, the modern theory of algorithmic information is able to…