Quotation for the week: Eddington

I agree with Burns that it’s valuable “to see oursels as ithers see us”. In that spirit, here’s an unflattering statement from the physicist and scientific populariser Arthur Eddington:

Proof is an idol before whom the pure mathematician tortures himself.

(The Nature of the Physical World, 1928, chapter 15)

In the short form above in which it is usually quoted, that statement must have offered consolation to thousands of scientists — and even applied mathematicians — lost in the wilderness of analysis or number theory. As usual, though, the wider context repays a little attention:

We [Eddington was writing as a scientist with a religious faith] cannot pretend to offer proofs. Proof is an idol before whom the pure mathematician tortures himself. In physics we are generally content to sacrifice before the lesser shrine of Plausibility. And even the pure mathematician — that stern logician — reluctantly allows himself some prejudgements; he is never quite convinced that the scheme of mathematics is flawless, and mathematical logic has undergone revolutions as profound as the revolutions of physical theory. We are all alike stumblingly pursuing an ideal beyond our reach.

You can decide for yourself whether, in the nearly eighty years since that was written, mathematics has come to look any more flawless, or physics any more plausible.


This entry was posted in Quotations. Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s