on of time as
the classic devices of sciences.--The nature of invariance. The ages-old
problem of permanence and change. The quest of what abides in a fluctuant
world as the binding thread of human history. The tie of comradeship among
the enterprises of human spirit.--The concept of a group. The notion simply
exemplified in many fields, is "Mind" a group. The philosophy of the
cosmic year.--Limits and limit processes omnipresent as ideals and
idealization, in all thought and human aspiration. Ideals the flint of
reality.--Mathematical infinity, its dynamic and static aspects. Need of
history of the Imperious concept. The role of infinity in a mighty
poem.--Meaning of dimensionality. Distinction of imagination and
conception. Logical existence and sensuous existence. Open avenues to
unimaginable worlds.--The theory of logical types. A supreme application of
it to definition of man, and the science of human welfare.--The psychology
of mathematics and the mathematics of psychology. Both of them in their
infancy. Consequent retardation of science. The symmetry of thought. The
asymmetry of imagination.--Science and engineering. Science as engineering
in preparation. Engineering as science in action. Mathematics the guide of
the engineer. Engineering the guide of humanity. Humanity the civilizing
or Time-Binding class of life. Qualities essential to engineering
leadership. The ethics of the art. The engineer as educator, as scientist,
as philosopher, as psychologist, as economist, as statesman, as
mathematical thinker--as a Man.

Appendix II. Biology And Time-Binding

The life of one man is short, and to very few is it given to achieve much
in their lifetime. Extensive achievements are made almost entirely by many
men taking up the work done by a discoverer. In such a case, we arrive at
a _complete_ "truth," not by the production of one man but by a chain of
men, but the initial discovery not only has to be produced but correctly
defined before it can be used and that is the important point to be made.
What we do not realize is the tremendous amount of mental work that is
lost by an incorrect use of words.

Human thought--that unique, subtle and yet most energetic phenomenon of
nature--is in the main wantonly wasted, because we do not use, or take
pains to use, suitable language; at the same time, false definitions lead
to consequences not merely wasteful but positively harmful. When ideas and
facts are falsely def