Scholars see India and Greece as the two principal birthplaces of science. School textbooks tell us about Pythagoras, Aristotle,
Euclid, Archimedes, and Ptolemy, geometry of the Vedic altars, the invention of
zero in India, Yoga psychology, and Indian technology of steel-making that went
into the manufacture of the best swords. But if you take the trouble of reading
scholarly books, articles and encyclopedias, you will find that in many ways the early Indian
contributions are the more impressive for they include a deep theory of mind,
Pāṇini’s astonishing Sanskrit grammar, binary numbers of Piṅgala, music theory,
combinatorics, algebra, earliest astronomy, and the physics of Kaṇāda with its
laws of motion.
Of these, Kaṇāda is the least known. He may not have presented his ideas as mathematical
equations, but he attempted something that no physicist to date has dared to
do: he advanced a system that includes space, time, matter, as well as
observers. He also postulated four types of atoms, two with mass (like proton
and electron) and two without (like neutrino and photon), and the idea of
invariance. A thousand or more years after Kaṇāda, Āryabhaṭa postulated that
earth rotated and advanced the basic idea of relativity of motion.
And then there is India’s
imaginative literature, which includes the Epics, the Purāṇas and the Yoga
Vāsiṣṭha (perhaps the greatest novel ever written), that speaks of time travel,
airplanes, exoplanets (that is many solar-like systems), cloning of embryos, sex
change, communication over distances, and weapons that can destroy everything.
Some nationalists take these statements to mean the literal scientific truth,
which claim is ridiculed by their political opponents who then use this broad
brush to tar all Indian science.
There are also anomalous
statements in Indian texts whose origin is not understood. Just to mention a
few: the correct speed of light, the correct distance to the sun, cosmological cycles that broadly
correspond to the numbers accepted currently, the fact that the sun and the
moon are approximately 108 times their respective diameters from the earth, the correct number of species on earth (about 8.4 million), and so
on. Historians either ignore them or say that they are extraordinary
coincidences. We will come to these anomalies later in the essay.
To return to the history
of mainstream science, the discovery of infinite series and calculus by Newton
and Leibniz heralded the Scientific Revolution that was to change the world.
But new research has shown that over two centuries prior the Kerala School of
Mathematics had already developed calculus and some historians suggest that
this and advanced astronomical knowledge from Kerala went abroad via the Jesuits and provided the spark for its further development in Europe. Other
historians discount the transmission of this knowledge to Europe.
There is more agreement
about the many achievements of Indian medical sciences. For example, the Royal
Australia College of Surgeons in Melbourne, Australia has a prominent display
of a statue of Suśruta (600 BCE) with the caption “Father of Surgery”. The ancient Ayurveda texts include the notion of germs
and inoculation and also postulate mind-body connection, which has become an
important area of contemporary research. Indian medicine was strongly
empirical; it used Nature (which is governed by Ṛta) as guide, and it was informed by a sense of skepticism. In
the West the notion of skepticism is usually credited to the Scottish
philosopher of science, David Hume, but scholars have been puzzled by the
commonality between his ideas and the earlier Indian ones. Recently, it was
shown that Hume almost certainly learnt Indian
ideas from Jesuits when he was at the Royal College of La Flèche in France.
There are also indirect
ways that Indian ideas led to scientific advance. Mendeleev was inspired by the two-dimensional structure of the Sanskrit alphabet to propose a similar two-dimensional structure of chemical elements. Erwin Schrödinger, a founder of quantum theory, credited ideas in the Upanishads for the key notion of superposition that was to bring about the quantum revolution in physics that changed chemistry, biology, and technology.
I now briefly touch upon
Indian influence on linguistics, logic, philosophy of physics, and theory of
mind.
Linguistics, algorithms and
society
Pāṇini’s work (4th or 5th
century BCE) showed the way to the development of modern linguistics through
the efforts of scholars such as Franz Bopp, Ferdinand de Saussure, Leonard
Bloomfield, and Roman Jakobson. Bopp was a pioneering scholar of the
comparative grammars of Sanskrit and other Indo-European languages. Ferdinand
de Saussure in his most influential work, Course in General Linguistics (Cours de linguistique générale),
that was published posthumously (1916), took the idea of the use of formal
rules of Sanskrit grammar and applied them to general linguistic phenomena.
The structure of Pāṇini‘s
grammar contains a meta-language, meta-rules, and other technical devices that
make this system effectively equivalent to the most powerful computing machine.
Although it didn’t directly contribute to the development of computer languages,
it influenced linguistics and mathematical logic that, in turn, gave birth to computer science.
The works of Pāṇini and
Bharata Muni also presage the modern field of semiotics which is the study of
signs and symbols as a significant component of communications. Their template
may be applied to sociology, anthropology and other humanistic disciplines for
all social systems come with their grammar.
The search for universal
laws of grammar underlying the diversity of languages is ultimately an exploration
of the very nature of the human mind. But the Indian texts remind that the
other side to this grammar is the idea that a formal system cannot describe
reality completely since it leaves out the self.
Modern logic
That Indian thought was central to the development of machine theory is asserted
by Mary Boole — the wife of George Boole, inventor of modern logic — who
herself was a leading science writer in the nineteenth century. She claimed
that George Everest, who lived for a long time in India and whose name was
eventually applied to the world’s highest peak, was the intermediary of the
Indian ideas and they influenced not only her husband but the other two leading
scientists in the attempt to mechanize thought: Augustus de Morgan and Charles
Babbage. She says in her essay on Indian Thought and Western Science in the Nineteenth Century (1901): “Think what must have been the effect of the
intense Hinduizing of three such men as Babbage, De Morgan, and George Boole on
the mathematical atmosphere of 1830–65.” She further speculates that these
ideas influenced the development of vector analysis and modern mathematics.
Much prior to this,
Mohsin Fani’s Dabistani-i
Madhahib (17th Century) claimed that Kallisthenes, who was in
Alexander’s party, took logic texts from India and the beginning of the Greek
tradition of logic must be seen in this material. In Indian logic, minds are
not empty slates; the very constitution of the mind provides some knowledge of
the nature of the world. The four pramāṇas through which correct knowledge is
acquired are direct perception, inference, analogy, and verbal testimony.
Physics with observers
Indian physics, which
goes back to the Vaiśeṣika Sūtras (c. 500 BCE), does not appear to have
directly influenced the discovery of physical laws in Europe. But Indian ideas
that place the observer at center prefigure the conceptual foundations of
modern physics, and this is acknowledged by the greatest physicists of the
twentieth century.
In the West, the universe
was seen as a machine going back to Aristotle and the Greeks who saw the
physical world consisting of four kinds of elements of earth, water, fire, and
air. This model continued in Newton’s clockwork model of the solar system.
Indian thought, in contrast, has a fifth element, ākāśa, which is the medium
for inner light and consciousness. With the rise of relativity theory and
quantum mechanics, the observer could no longer be ignored. In one sense, the
journey of science is the discovery of self and consciousness.
It is one of those
obscure footnotes to the history of physics that Nikola Tesla, who was very
famous in the 1890s, was asked by Swami Vivekananda to find an equation
connecting mass and energy. We know that Tesla didn’t quite succeed at this but
he was to work on various models of wireless transfer of energy for the
remainder of his career.
Cosmology and evolution
The Ṛgveda speaks of the
universe being infinite in size. The evolution of the universe is according to
cosmic law. Since it cannot arise out of nothing, the universe must be
infinitely old. Since it must evolve, there are cycles of chaos and order or
creation and destruction. The world is also taken to be infinitely old. Beyond
the solar system, other similar systems were postulated, which appear to have been
confirmed with the modern discovery of exoplanets.
The Sāṅkhya system
describes evolution at cosmic and individual levels. It views reality as being
constituted of puruṣa,
consciousness that is all-pervasive, and prakṛti,
which is the phenomenal world. Prakṛti is
composed of three different strands (guṇas or characteristics) of sattva,
rajas, and tamas, which are transparency, activity, and inactivity,
respectively.
Evolution begins by
puruṣa and prakṛti creating mahat (Nature in its dynamic aspect). From mahat
evolves buddhi (intelligence) and manas (mind). Buddhi and manas in the large
scale are Nature’s intelligence and mind. From buddhi come individualized ego
consciousness (ahaṅkāra) and the five tanmātras (subtle elements) of sound,
touch, sight, taste, smell. From the manas evolve the five senses (hearing,
touching, seeing, tasting, smelling), the five organs of action (with which to
speak, grasp, move, procreate, evacuate), and the five gross elements (ākāśa, air, fire, water,
earth).
The evolution in Sāṅkhya
is an ecological process determined completely by Nature. It differs from
modern evolution theory in that it presupposes a universal consciousness. In
reality, modern evolution also assigns intelligence to Nature in its drive to
select certain forms over others as well as in the evolution of intelligence
itself.
The description of
evolution of life is given in many texts such as the Mahābhārata. I present a
quote from the Yoga Vāsiṣṭha on it:
“I remember
that once upon a time there was nothing on this earth, neither trees and
plants, nor even mountains. For a period of eleven thousand [great] years the
earth was covered by lava. In those days there was neither day nor night below
the polar region: for in the rest of the earth neither the sun nor the moon
shone. Only one half of the polar region was illumined. [Later] apart from the
polar region the rest of the earth was covered with water. And then for a very
long time the whole earth was covered with forests, except the polar region.
Then there arose great mountains, but without any human inhabitants. For a
period of ten thousand years the earth was covered with the corpses of the
asuras.” [YV 6.1]
The reverse sequence, of
the end of the world, is also described in various texts. First, the sun
expands in size incinerating everything on the earth (quite similar to modern
accounts of the aging sun becoming a red giant). The specific sequence
mentioned is that the fireball of the sun transforms the Pṛthivī atoms into
Āpas atoms, which then together change into Tejas atoms and further into Vāyu
atoms, and finally to sound energy that is an attribute of space, and so on
(Mahābhārata, Śānti Parva Section 233). In our modern language, it means that
as temperatures become high, matter breaks down becoming a sea of elements,
then the protons break down into electrons, further into photons, and finally
into neutrinos, and on to acoustic energy of space. At the end of this cycle
the world is absorbed into Consciousness.
Vivekananda was aware of
this sequence which is why he asked Tesla to find the specific equation for transformation between mass and energy.
Mind and Yoga
We are in the midst of a
worldwide Yoga revolution. For many, it is about health and well-being but that
is only a portal that leads to the understanding of the self and its
relationship with the body.
Although the roots of Yoga lie in the Vedas, most read Patañjali’s Yoga-sūtra for a systematic exposition of the nature of the mind. The text is logical and it questions the naïve understanding of the world. According to it, there is a single reality and the multiplicity we see in it is a consequence of the projections of our different minds. Therefore to obtain knowledge one must experience reality in its most directness.
The Vedic texts claim to
be ātmavidyā,
“science of self” or “consciousness science” and they also provide a framework
to decode its narrative, establishing its central concern with consciousness.
In the Vedic view,
reality is unitary at the deepest level since otherwise there would be chaos.
Since language is linear, whereas the unfolding of the universe takes place in
a multitude of dimensions, language is limited in its ability to describe
reality. Because of this limitation, reality can only be experienced and never
described fully. All descriptions of the universe lead to logical paradox.
Knowledge is of two
kinds: the higher or unified and the lower or dual. The higher knowledge
concerns the perceiving subject (consciousness), whereas the lower knowledge
concerns objects. The higher knowledge can be arrived at through intuition and
meditation on the paradoxes of the outer world. The lower knowledge is
analytical and it represents standard sciences with its many branches. There is
a complementarity between the higher and the lower, for each is necessary to
define the other, and it mirrors the one between mind and body.
The future of science
I have gone through a
random list of topics to show that Indian ideas and
contributions have shaped science in fundamental ways. I hope to show now that
they remain equally central to its future growth.
We first note that in
spite of its unprecedented success and prestige, science is facing major
crises. The first of these crises is that of physics for it has found no
evidence for dark matter and dark energy that together are believed to
constitute 95% of the observable universe, with another 4.5% being intergalactic
dust that doesn’t influence theory. How can we claim that we are near
understanding reality if our theories are validated by only 0.5% of the
observable universe?
The second crisis is that
neuroscientists have failed to find a neural correlate of consciousness. If
there is no neural correlate, then does consciousness reside in a dimension
that is different from our familiar space-time continuum? And how do mind and
body interact with each other?
The third crisis is that
there is no clear answer to the question if machines will become conscious. The
fourth crisis is related to the implications of biomedical advances such as
cloning on our notions of self.
It becomes clear that the
three crises are actually interrelated when it is realized that consciousness
is also an issue at the very foundations of physics. These questions also
relate to the problem of free will.
Researchers are divided
on whether conscious machines will ever exist. Most computer scientists believe
that consciousness is computable and that it will emerge in machines as
technology develops. Bu there are others who say there’re things about human
behavior that cannot be computed by a machine. Thus creativity and the sense of
freedom people possess appear to be more than just an application of logic or
calculations.
Quantum views
Quantum theory, which is
the deepest theory of physics, provides another perspective. According to its
orthodox Copenhagen Interpretation, consciousness and the physical world are
complementary aspects of the same reality. Since it takes consciousness as a
given and no attempt is made to derive it from physics, the Copenhagen
Interpretation may be called the “big-C” view of consciousness, where it is a thing that exists by itself — although it requires brains to become real. This view was popular with the pioneers of quantum theory such as Niels Bohr, Werner Heisenberg and Erwin Schrödinger.
The opposing view is that
consciousness emerges from biology, just as biology itself emerges from
chemistry which, in turn, emerges from physics. We call this less expansive
concept of consciousness “little-C.” It agrees with the neuroscientists’ view
that the processes of the mind are identical to states and processes of the
brain.
Philosophers of science
believe that these modern quantum physics views of consciousness have parallels
in ancient philosophy. Big-C is like the theory of mind in Vedanta — in which
consciousness is the fundamental basis of reality and at the experienced level
it complements the physical universe. The pioneers of quantum theory were aware
of this linkage with Vedanta.
Little-C, in contrast, is quite similar to
Buddhism. Although the Buddha chose not to address the question of the nature
of consciousness, his followers declared that mind and consciousness arise out
of emptiness or nothingness.
Big-C, anomalies, and scientific
discovery
Scientists question if
consciousness is a computational process. More restrictively, scholars argue
that the creative moment is not at the end of a deliberate computation. For
instance, dreams or visions are supposed to have inspired Elias Howe‘s 1845 design of the modern sewing machine and August Kekulé’s discovery of the structure of benzene in 1862, and these may be considered to be
examples of the anomalous workings of the mind.
A dramatic piece of
evidence in favor of big-C consciousness existing all on its own is the life of
self-taught mathematician Srinivasa Ramanujan, who died in 1920 at the age of
32. His notebook, which was lost and forgotten for about 50 years and published
only in 1988, contains several thousand formulas — without proof in different
areas of mathematics — that were well ahead of their time, and the methods by
which he found the formulas remain elusive. Ramanujan himself claimed that
the formulas were revealed to him by Goddess Nāmagiri while he was asleep. The
idea of big-C provides an explanation for the anomalous scientific results from
old Indian texts that were mentioned at the beginning of the essay.
The concept of big-C
consciousness raises the questions of how it is related to matter, and how
matter and mind mutually influence each other. Consciousness alone cannot make
physical changes to the world, but perhaps it can change the probabilities in
the evolution of quantum processes. The act of observation can freeze and even
influence atoms’ movements, as has been demonstrated in the laboratory. This may very well be
an explanation of how matter and mind interact.
With cognitive machines
replacing humans at most tasks, the question of what selfhood means will become
more central to our lives. It appears to me that the only way to find
fulfilment in life will be through wisdom of ātmavidyā. Vedic science will
bring humanity full circle back to the source of all experience, which is
consciousness. It will also reveal unknown ways mind and body interact and this
will have major implications for medicine.
Indian sciences are
universal and they have within them the power to inspire people to find their
true potential and find meaning in life, as also having the potential to
facilitate the next advances in both physical and biological sciences.
Historians
may quibble about whether a certain equation should be called Baudhāyana’s
Theorem or Pythagoras Theorem, but in the larger scheme names do not matter.
The direction of science is the more important thing and it is clear that the
mystery of consciousness will be one of its major concerns.
Subhash
Kakji is an Author and Scientist
This
article was first published here eSamskriti has obtained permission from the author to republish this article.
To read all articles
by Subhashji
To read
all articles in the Science & Indian Wisdom section
Also
read
1. Matter,
Mind & Consciousness–Recent Trends in Philosophy & Science by Swami
Atmapriyananda
2. Understanding
Mysticism through Quantum Physics by Gopal C Bhar
3. The
Voice of Life by J C Bose
4. Talks
on Maths in metrical form by Prof K Ramasubramanian
5. Mind,
Matter & Consciousness – The Yogic Perspective by Dr Peena Madhusudan
6. Maths
books taught in India in the 18th century by Dharampalji
7. India’s
lost history of mathematical genius MINT editorial