The first edition (2001) of this title quickly established itself on courses on the philosophy of
time and space. This fully revised and expanded new edition sees the addition of chapters …

This is a book on the theory of the special relativity that, on the one hand, has been written
from a critical perspective; and on the other, suggests a way to construct a discrete and …

The Principle of Invariance defined in this chapter is an immediate consequence of the First
Law of logic. It is so obvious that it is unnecessary in scientific discussions, except (perhaps) …

I was educated first as a geologist and then as a mathematician. For that reason my clash
with the actual infinity was devastating for my original scientific project (thermodynamics of …

I propose here a new physical interpretation of entropy based on the crystallographic
concept of isotropy. The new interpretation results compatible with the classical entropy as …

When discussing with either mathematicians, philosophers acquainted with mathematics, or
philosophers that are not, invariably, the idea of a mathematics that is without infinity being a …

In this work, the relativistic phenomena of Lorentz-Fitzgerald contraction and time dilation
are derived using a modified distance formula that is appropriate for discrete space. This …

The discrete nature of space and time is introduced here as a formal consequence of the
more than probable inconsistency of the Hypothesis of the Actual Infinity. This space-time …

A periodic graph in dimension d is a directed graph with a free action of Z d with only finitely
many orbits. It can conveniently be represented in terms of an associated finite graph with …

Strict finitism posits a largest natural number. The view is usually thought to be objectionably
arbitrary. After all, there seems to be no apparent reason as to why the natural numbers …