The evolution of scientific thought from Newton to EinsteinD'Abro, A. (Aram)
Science
The evolution of scientific thought from Newton to Einstein
D'Abro, A. (Aram)
Relativity (Physics); Science -- Methodology
And now consider a third object, . We will assume that is
of the same colour as . Beyond that we know nothing of it. Once
again, are we entitled to write ? The answer is: Yes, if the
[Pg 240]
symbol = stands for “is of the same colour as”; No, if it stands for
some other type of equality. In order to avoid confusion let us then
write our symbol: ( standing for colour).
Our two equalities now become ;
; and obviously there is no reason for us to
infer that should equal either in size or colour, since the
symbols and do not convey the
same meaning.
It may be assumed that even the most careless of critics would grant
the correctness of the preceding argument. But in the case of his
criticism of Einstein’s theory he would argue: “All this is very fine,
but in the relativistic absurdity which I am pointing out to you I am
perfectly entitled to write ; and .
For in the present case the symbol = between and , and
between and , stands for exactly the same concept, namely,
that of identity in time; it does not refer to such different concepts
as ‘size’ in the first instance and ‘colour’ in the second.”
Obviously, it is easy to detect the petitio principii
unconsciously introduced into this argument. By stating that the two
symbols = must mean the same thing since they both connote identity
in time, the critic is accepting a priori as self-evident that
there can be only one time-stream, or, in other words, that time
is absolute. Of course, if he wishes to introduce his own private
assumptions, he may do so; but he must not blame the theory if as a
result thereof he is faced with a logical contradiction. He should
realise that the contradiction arises solely as a result of his own
initial unwarranted assumption, and that were he to withdraw this
initial assumption the contradiction would automatically disappear.
Then, indeed, he would have to recognise that the two symbols =
need not have the same meaning; that the first, which we may write
, would represent “at the same time according to
John,” whereas the second one, , would represent “at
the same time according to Peter.” As a result the relations would be
written:
and just as in the case of colour and size, he would recognise that the
first two equalities in no wise compelled the equality of and
.
But we may wonder why it is that the critic does not realise that all
the trouble that has arisen is of his own making. The answer appears
perfectly clear. It would be somewhat as follows:
“At no time does he realise that he has introduced an arbitrary
assumption and has thereby begged the entire question. The traditional
belief in absolute time so dominates his mind that he thinks in terms
of it even when he knows that the theory of relativity is not based on
any such a priori belief.”
[Pg 241]
Public-domain text, read in full here on John Shaqi.
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