But, according to Sir W. Thomson’s calculation, tidal retardation will only account for a retardation of 22” in a century, or 22/100 (say 1/5) of a second per annum.

Thus, assuming that the accumulation of polar ice since the Miocene epoch has only been sufficient to produce ten times the effect of a coat of ice one foot thick, we shall have an accelerating cause which covers all the loss from tidal action, and leaves a balance of 4/5 a second per annum in the way of acceleration.

If tidal retardation can be thus checked and overthrown by other temporary conditions, what becomes of the confident assertion, based upon the assumed uniformity of tidal retardation, that ten thousand million years ago the earth must have been rotating more than twice as fast as at present, and, therefore, that we geologists are “in direct opposition to the principles of Natural Philosophy” if we spread geological history over that time?

II.  The second argument is thus stated by Sir W. Thomson:—­“An article, by myself, published in ‘Macmillan’s Magazine’ for March 1862, on the age of the sun’s heat, explains results of investigation into various questions as to possibilities regarding the amount of heat that the sun could have, dealing with it as you would with a stone, or a piece of matter, only taking into account the sun’s dimensions, which showed it to be possible that the sun may have already illuminated the earth for as many as one hundred million years, but at the same time rendered it almost certain that he had not illuminated the earth for five hundred millions of years.  The estimates here are necessarily very vague; but yet, vague as they are, I do not know that it is possible, upon any reasonable estimate founded on known properties of matter, to say that we can believe the sun has really illuminated the earth for five hundred million years."[59]

I do not wish to “Hansardize” Sir William Thomson by laying much stress on the fact that, only fifteen years ago, he entertained a totally different view of the origin of the sun’s heat, and believed that the energy radiated from year to year was supplied from year to year—­a doctrine which would have suited Hutton perfectly.  But the fact that so eminent a physical philosopher has, thus recently, held views opposite to those which he now entertains, and that he confesses his own estimates to be “very vague,” justly entitles us to disregard those estimates, if any distinct facts on our side go against them.  However, I am not aware that such facts exist.  As I have already said, for anything I know, one, two, or three hundred millions of years may serve the needs of geologists perfectly well.

III.  The third line of argument is based upon the temperature of the interior of the earth.  Sir W. Thomson refers to certain investigations which prove that the present thermal condition of the interior of the earth implies either a heating of the earth within the last 20,000 years of as much as 100 deg.  F., or a greater heating all over the surface at some time further back than 20,000 years, and then proceeds thus:—­