In The Beginning of Infinity David Deutch claims that the world is explicable and that human beings can explain anything that can be explained (Chapter 3): > The astrophysicist Martin Rees has speculated that somewhere in the universe ‘there could be life and intelligence out there in forms we can’t...
A Turing machine is a universal computer: it can compute anything that any other computer can compute. A human being can specify a Turing machine and the data it's acting on and carry out the steps that the machine would execute. Human beings have also constructed computers with the same...
In An Introduction to Kolmogorov Complexity and Its Applications 4th edition Li and Vitanyi claim that Solomonoff Induction solves the problem of induction. In Section 5.1.4 they write: > The philosopher D. Hume (1711–1776) argued that true induction is impossible because we can reach conclusions only by using known data...