here only a very few passages, but these books are of such
importance that every mathematician and engineer should read them. They
are, if I may say so, a "mathematical biology"--the survey of a life long
study of "tropisms," which is the name given to express "forced movements"
in organisms. They give the quintessence of laboratory experiments as to
what are the effects of different energies such as light (heliotropism),
electricity (galvanotropism), gravity (geotropism), etc., in their
reaction and influence upon the movements and actions of living organisms.
These experiments are conclusive and the conclusions arrived at cannot be
overlooked or evaded. The tremendous practical results of such scientific
methods are based upon two principles, namely: that, (1) the scientists
must think mathematically, their studies of the phenomena must be in
"systems" as a complex whole, and they must not intermix dimensions; (2)
they must see the danger and not be afraid of old words with wrong
meanings, but must use clear and rigorous thinking to eliminate the
prejudices in science--the poison of metaphysical speculating with words,
or verbalism. These books give ample proofs of how misleading and
obscuring are the words used and how basically wrong are the conclusions
arrived at by such scientists as still persist in using the
anthropomorphic or teleological methods of analysis. If a sceptical or
doubtful reader is interested to see an ample proof of how deadly is the
effect which an incorrect or unmathematical manner of thinking brings into
science and life--he also may be referred to these books. The following
quotations prove biologically that man is of a totally different
dimension--a totally different being than an animal. From Dr. Conklin I
quote only from his _Heredity and Environment_ and to save a repetition of
the title of the book, I will indicate the quotations by using only his
name. (All italics are indicated by A. K.)

"It would be of the greatest importance to show directly that the
_homologous proteins of different species are different_. _This
has been done_ for hemoglobins of the blood by Reichert and Brown,
who have shown by crystallographic measurements that the
hemoglobins of any species are definite substances for that
species.... The following sentences by Reichert and Brown seem to
indicate that this may be true for the crystals of hemoglobin.
'_The hemoglobins of any speci