There is no doubt that both the special and general theories of relativity
capture the imagination. The anti-intuitive properties of the special theory of
relativity and its deep philosophical implications, the bizzare and dazzling
predictions of the general theory of relativity: the curvature of spacetime,
the exotic characteristics of black holes, the bewildering prospects of
gravitational waves, the discovery of astronomical objects as quasers and
pulsers, the expansion and the (possible) recontraction of the universe..., are
all breathtaking phenomena. In this paper, we give a philosophical
non-technical treatment of both the special and the general theory of
relativity together with an exposition of some of the latest physical theories.
We then give an outline of an axiomatic approach to relativity theories due to
Andreka and Nemeti that throws light on the logical structure of both theories.
This is followed by an exposition of some of the bewildering results
established by Andreka and Nemeti concerning the foundations of mathematics
using the notion of relativistic computers. We next give a survey on the
meaning and philosophical implications of the the quantum theory and end the
paper by an imaginary debate between Einstein and Neils Bohr reflecting both
Einstein's and Bohr's philosophical views on the quantum world.
The paper is written in a somewhat untraditional manner; there are too many
footnotes. In order not to burden the reader with all the details, we have
collected the more advanced material the footnotes. We think that this makes
the paper easier to read and simpler to follow. The paper in full is adressed
more to experts.Comment: 40 pages, LaTeX-fil