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Of Time and Space and Other Things
by Isaac Asimov
eversion 1.0
INTRODUCTION
As we trace the development of man over the ages, it seems
in many respects a tale of glory and victory; of the develop-
ment of the brain; of the discovery of fire; of the building
of cities and of civilizations; of the triumph of reason; of
the fimng of the Earth and of the reaching out to sea and
space.
But increasing knowledge leads not to conquest only, but
to utter defeat as well, for one learns not only of new po-
tentialities, but also of new limitations. An explorer may
discover a new continent, but he may also stumble over
the world's end.
And it is so with mankind. We are distinguished from
all other living species by our power over the inanimate
universe; and we are distinguished from them also by our
abject defeat by the inanimate universe, for we alone have
learned of defeat.
Consider that no other species (as far as we know) can
possess our concept of time. An animal may remember,
but surely it can have no notion of "past" and certainly not
of "future."
No non-human creature lives in anything but the present
moment. No non-human creature can foresee the inevita-
bility of its own death. Only man is mortal, in the sense
that only man is aware that he is mortal.
Robert Bums said it better in his poem To a Mouve.
He addresses the mouse, after turning up its nest with his
plough, apologizing to it for the disaster he has brought
upon it, and reminding it fatalistically that "The- best-laid
schemes o' mice and men / Gang aft a-gley."
But then, in a final soul-chilling stanza (too often lost
in the glare of the much more famous penultimate stanza
about mice and men), he gets to the real nub of the poem
and says:
"Still thou art blest compar'd wi' me!
"The present only toucheth thee:
"But oh, I backward cast my e'e
"On prospects drear!
"An' forward tho' I canna see,
"I guess an' fear!"
Somewhere, then, in the progress of evolution from
mouse to man, a primitive hominid first caught and grasped
at the notion that someday he would die. Every living crea-
ture died at last, our proto-philosopher could not help but
notice, and the great realization somehow dawned upon
him that he himself would do so, too. If death must come
to all life, it must come to himself as well, and ahead of
him he saw world's end.
We talk often about the discovery of fire, which marked
man off from all the rest of creation. Yet the discovery of
death', is surely just as unique and may have been just as
driving a force in man's upward climb.
The details of both discoveries are lost forever in the
shrouded and impenetrable fog of pre-history, but they
appear in myths. The discovery of fire is celebrated most
famously in the Greek myth of Prometheus, who stole fire
from the Sun for the poor, shivering race of man.
And the discovery of death is celebrated most famously
in the Hebrew myth of the Garden of Eden, where man
first dwelt in the immortality that came of the ignorance
of time. But man gained knowledge, or, if you prefer, he
ate of the fruit of the tree of knowledge of good and evil.
And with knowledge, death entered the world, in the
sense that man knew he must die. In biblical terms, this
awareness of death is described as resulting from divine
revelation. In the 'solemn speech in which He apprises
Adam of the punishment for disobedience, God tells him
(Gen. 3:19): for dust thou art, and unto dust shalt
thou return."
But man struggles onward under the terrible weight of
Adam's curse, and I cannot help but wonder how much
of man's accomplishment traces directly back to his en-
deavor to neutralize the horrifying awareness of inevitable
death. He may transfer the consciousness of existence from
himself to his family and find immortali ,ty after all in the
fact that though his own spark of life snuffs out, an allied
spark continues in the children that issued out of his body.
How much of tribal society is based on this?
Or he may decide that the true life is not of the body
which is, indeed, mortal and must suffer death; but of the
spirit which lives forever. And how much of philosophy
and religion and the highest aspirations of man's faculties
arises from this striving to deny Adam's curse?
Yet what of a society in which the notion of family and
of spirit weakens; a society in which the material world of
the senses gradually fills the consciousness from horizon to
horizon? The nearest approach-to such a society in man's
history is probably our own. How, then, has the modern
West, which has deprived itself of the classical escapes, re-
acted to the inevitability of death?
Is it entirely a coincidence that of all cultures, that of
the present-day West is the most time-conscious? That it
has spent more of its energies in studying time, measuring
time, cutting time up into ever-tinier segments with ever-
greater accuracy?
Is it entirely a coincidence that the most materialistic
subdivision of our most materialistic culture, the twentieth-
century American, is never seen anywhere without, his
wristwatch? At no time, apparently, dare he be unaware of
the sweep of the second hand and of the ticks that mark
off the inexorable running out of the sands of his life.
So it is that the opening essays in this collection deal
directly with man's attempt to measure time. The notion
of time creeps into a number of the other essays as well;
in a discussion of units which turn out always to include
the "second"; in a discussion of catalysts which squeeze
more action into less time. For really, time is a subject that
cannot be entirely excluded from any; corner of science.
When man faces death directly, then, he studies time, for
it is by accurately handling time that he can measure other
phenomena and find a route through science. And through
science, perhaps, may come a truly materialistic defeat of
Adam's curse.
For my final essay in this book takes up the inevitability
of death, and the conclusion is that though all men are
mortal, they are not nearly as mortal as they ought to be.
Why not? That is the chink in death's armor. Why does
man live as surprisingly long as he does? If we can some-
day find the answer to that, we may find the answer to
much more.
Immortality?
Who knows, but-maybe!
Part I
OF TIME AND SPACE
1. THE DAYS OF OUR YEARS
A group of us meet for an occasional evening of, talk and
nonsense, followed by coffee and doughnuts and one of
the group scored a coup by persuading a well-known
entertainer to attend the session. The well-known enter-
tainer made one condition, however. He was not to enter-
tain, or even be asked to entertain. This was agreed to.
Now there arose a problem. If the meeting were left
to,its own devices, someone was sure to begin badgering
the entertainer. Consequently, other entertainment had to
be supplied, so one of the boys turned to me and said,
"Say, you know what?"
l,knew what and I objected at once. I said, "How can
I stand up there and talk with everyone staring at this
other fellow in the audience and wishing he were up there
instead? You'd be throwing me to the wolves!"
But they all smiled very toothily and told me about the
wonderful talks I give. (Somehow everyone quickly dis-
covers the fact that I soften into putty as soon as the flat-
tery is turned on.) In no time at all, I agreed to be thrown
to the wolves. Surprisingly, it worked, which speaks highly
for the audience's intellect-or perhaps their magnanimity.
I As it happened, the meeting was held on "leap day"
and so my topic of conversation was ready-made and the
gist of it went as follows:
I suppose there's no question but that the earliest unit
of time-telling was the day. It forces itself upon the aware-
ness of even the most primitive of humanoids. However,
the day is not convenient for long intervals of time. Even
allowing a primitive Iife-span of 80 years, a man would
live some 11,000 days and it is very easy to lose track
among all those days.
Since the Sun governs the day-unit, it seems natural to
turn to the next most prominent heavenly body, the Moon,
for another unit. One offers itself at once, ready-made-
the period of the phases. The Moon waxes from nothing to
a full Moon and back to nothing in a definite period of
time. This period of time is called the "month" in English
(clearly from the word "mooif') or, more specifically, the
"lunar month," since we have other months, representing
periods of time slightly shorter or slightly longer than the
one that is strictly tied to the phases of the moon.
The lunar month is roughly equal to 291/2 days. More
exactly, it is equal to 29 days, 12 hours, 44 minutes, 2.8
seconds, or 29.5306 days.
In pre-agricultural times, it may well have been that no,
special significance attached itself to the month, which re-
mained only a convenient device for measuring moderately
long periods of time. The life expectancy of primitive man
was probably something like 350 months, which is a much
more convenient figure than that of I 1,000 days.
In fact, there has been speculation that the extended
lifetimes of the patriarchs reported in the fifth chapter of
the Book of Genesis may have arisen out of a confusion
of years with lunar months. For instance, suppose Me-
thuselah had lived 969 lunar months. This would be just
about 79 years, a very reasonable figure. However, once
that got twisted to 969 years by later tradition, we gained
the "old as Methuselah" bit.
However, I mention this only in passing, for this idea
is not really taken seriously by any biblical scholars. It is
much more likely that these lifetimes are a hangover from
Babylonian traditions about the times before the Flood.
. . .But I am off the subject.
It is my feeling that the month gained a new and
enhanced importance with the introduction of agriculture.
An agricultural society was much more closely and pre-
cariously tied-to the season& than a hunting or herding
society was. Nomads could wander in search of grain or
grass but farmers had to stay where they were and hope
for rain. To increase their chances, farmers had to be cer-
tain to sow at a proper time to take advantage of sea-
sonal rains and seasonal warmth; and a mistake in the
sowing period might easily spell disaster. What's more, the
development of agriculture made possible a denser popu-
lation, and that intensified the scope of the possible dis-
aster.
Man had to pay attention, then, to the cycle of seasons,
and while he was still in the prehistoric stage he must have
noted that those seasons came fall cycle in roughly twelve
months. In other words, if crops were planted at a par-
ticular time of the year and all went well, then, ff twelve
months were counted from the first planting and crops
were planted again, all would again go well.
Counting the months can be tricky in a primitive so-
ciety, especially when a miscount can be ruinous, so it isn't
surprising that the count was usually left in the hands
of a specialized caste, the priesthood. The priests could
not only devote their time to accurate counting, but could
also use their experience and skill to propitiate the gods.
After all, the cycle of the seasons was by no, means as rigid
and unvarying as was the cycle of day and night or the
cycle of the phases of the moon. A late frost or a failure
of rain could blast that season's crops, and since such
flaws in weather were bound to follow any little mista e
in ritual (at least so men often believed), the priestly func-
tions were of importance indeed.
It is not surprising then, that the lunar month grew to
have enormous religious significance. There were new
Moon festivals and special priestly proclamations of each
one of them, so that the lunar month came to be called
the "synodic month."
The cycle of seasons is called the "year" and twelve
lunar months therefore make up a "lunar year." The use
of lunar years in measuring time is referred to as the use
of a "lunar calendar." The only important group of people
in modem times, using a strict lunar calendar, are the
15
Moh ammedans. Each of the Moharmnedan years is made
up of 12 months which are, in turn, usually made up of
29 and 30 days in alternation.
Such months average 29.5 days, but the length of the
true lunar month is, as I've pointed out, 29.5306 days.
The lunar year built up out of twelve 29.5-day months is
354 days long, whereas twelve lunar months are actually
354.37 days long.
You may say "So what?" but don't. A true lunar year
should always start on the day of the new Moon. If, how-
ever, you start one lunar year on the day of the new Moon
and then simply alternate 29-day and 30-day months, the
third year will start the day before the new Moon, and the
sixth year will start two days before the new Moon. To
properly religious people, this would be unthinkable.
Now it so happens that 30 true lunar years come out to
be almost exactly an even number of days-10,631.016.
Thirty years built up out of 29.5-day months come to
10,620 days-just 1 1 days short of keeping time with the
Moon' For that reason, the Mohammedans scatter 1 1 days
through the 30 years in some fixed pattern which prevents
any individual year from starting as much, as a full day
ahead or behind the new Moon. In each 30-year cycle
there are nineteen 354-day years and eleven 355-day
years, and the calendar remains even with the Moon.
An extra day, inserted in this way to keep the calendar
even with the movements of a heavenly body, is called an
"intercalary day"; a day inserted "between the calendar,"
so to speak.
The lunar year, whether it is 354 or 355 days in length,
does not, however, match the cycle of the seasons. By the
dawn of historic times the Babylonian astronomers had
noted that the Sun moved against the background of stars
(see Chapter 4). This passage was followed with absorp-
tion because it grew apparent that a complete circle of the
sky by the Sun matched the complete cycle of the seasons
closely. (This apparent influence of the stars on the sea-
sons probably started the Babylonian fad of astrology-
which is still with us today.)
The Sun makes its complete cycle about the zodiac in
16
roughly 365 days, so that the lunar year is'about II days
shorter than the season-cycle, or "solar year." Three lunar
years fall 33 days, or a little more than a full month be-
hind the season-cycle.
This is important. If you use a lunar calendar and start
it so that the first day of the year is planting time, then
three years later you are planting a month too soon, and
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