The Meaning of Relativity: Four lectures delivered at Princeton University, May, 1921Einstein, Albert
Science
The Meaning of Relativity: Four lectures delivered at Princeton University, May, 1921
Einstein, Albert
Relativity (Physics)
The only justification for our concepts and system of concepts
is that they serve to represent the complex of our experiences;
beyond this they have no legitimacy. I am convinced that
the philosophers have had a harmful effect upon the progress
of scientific thinking in removing certain fundamental concepts
from the domain of empiricism, where they are under our control,
to the intangible heights of the a priori. For even if it should
appear that the universe of ideas cannot be deduced from experience
by logical means, but is, in a sense, a creation of the
human mind, without which no science is possible, nevertheless
this universe of ideas is just as little independent of the nature
of our experiences as clothes are of the form of the human body.
This is particularly true of our concepts of time and space, which
physicists have been obliged by the facts to bring down from the
Olympus of the a priori in order to adjust them and put them
in a serviceable condition.
[Pg 2]
We now come to our concepts and judgments of space. It
is essential here also to pay strict attention to the relation of
experience to our concepts. It seems to me that Poincaré clearly
recognized the truth in the account he gave in his book, "La
Science et l'Hypothèse." Among all the changes which we can
perceive in a rigid body those are marked by their simplicity
which can be made reversibly by an arbitrary motion of the
body; Poincaré calls these, changes in position. By means of
simple changes in position we can bring two bodies into contact.
The theorems of congruence, fundamental in geometry, have to
do with the laws that govern such changes in position. For the
concept of space the following seems essential. We can form new
bodies by bringing bodies , , ... up to body ; we say that
we continue body . We can continue body in such a way that
it comes into contact with any other body, . The ensemble of
all continuations of body we can designate as the "space of
the body ." Then it is true that all bodies are in the "space of
the (arbitrarily chosen) body ." In this sense we cannot speak
of space in the abstract, but only of the "space belonging to a
body ." The earth's crust plays such a dominant rôle in our
daily life in judging the relative positions of bodies that it has
led to an abstract conception of space which certainly cannot be
defended. In order to free ourselves from this fatal error we shall
speak only of "bodies of reference," or "space of reference." It
was only through the theory of general relativity that refinement
of these concepts became necessary, as we shall see later.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account