Abstract:
According to Pythagoras: All is Number, God is a Mathematician. Modern physics is in fact based on continuous mathematics, dierential and partial
dierential equations, validating Pythagoras’ vision.
In this essay we shall instead discuss a neo-Pythagorean ontology: All is
Algorithm, God is a Programmer. In other words, can there be discrete
computational models of the physical world? This is sometimes referred to as
digital philosophy.
There are in fact two books on digital philosophy, both in Italian:
• Ugo Pagallo, Introduction to Digital Philosophy, from Leibniz to Chaitin
• Andrea Vaccaro and Giuseppe Longo, Bit Bang: The Birth of Digital
Philosophy
Let’s review the development of digital philosophy. We’ll start, as is often the
case, with Leibniz.