Maths, Mechanics & Eureka

When we study the history of science, specifically physics, we find that a good idea simultaneously existed in various places. This suggests it may be better not to overemphasize a person for the origin of an idea. If we focus on the context, utility, and exchange of ideas, we get a broader picture of scientific ideas.
This approach creates a spatio-temporal network, an interesting way to view the historical evolution of ideas across the humanities, space, and time. People, ideas, and technologies collectively progress the frontiers of science in various places at different times. In that sense, science, including physics, is a global human endeavor.
This is evident when we look into the history of mechanics from ancient times until now. Mechanics is a fundamental sub-discipline of physics and has a strong connection to mathematics and engineering. It has evolved with logical reasoning and understanding of natural phenomena.

Engineering structures, which humanity has long been interested in, have played a significant role. Mechanics has been the playground of philosophers, scientists, and engineers. The questions it raised led to new thinking and new technologies.
Mechanics offers a way to understand and engineer the universe. In this episode, we explore its links to mathematics, engineering, and key thinkers.

The importance of counting.

Counting has played a critical role in human life for a long time. In fact, we use fingers as a counting device, and this has been a very powerful tool for a significant period. So much so that it has been utilized to keep a tally of small numbers, which can be counted and analyzed in everyday life. Interestingly, as the numbers became larger, one had to externalize the counting process, and in ancient times, people had very creative methods to count objects. One of the fascinating aspects of counting was to use bones. Yes, bones were used as platforms on which marks were created, and these marks were utilized as the counts in a tally.

One of the pieces of evidence for such behavior was found in the Congo Basin in a place called Ishango. The bones that were found are dated around 9000 BCE to 6500 BCE (although a big debate is going on regarding the dates, with some putting it beyond 20,000 BCE), on which marks have been identified that look like counts registered on the platform. Indeed, it is quite fascinating to see how people used various devices to enumerate objects.
If you ask any child what is 1 plus 1, they will be able to say that it is 2. This may sound trivial, but the concept of addition itself was not in the historical context. To consider two numbers and add them together needs a certain degree of abstraction, which has been part of the evolution of mathematics since ancient times. A variety of counting methods have been devised in different civilizations, which have added a kind of flavour to the history of mathematics.

Importantly, language has played a critical role in facilitating a vocabulary for counting. Depending upon the syntax and the order of letters, numbers have been represented in a variety of ways across space and time of human history.

In this context, let me emphasize two important aspects of numbers and their representation. The first aspect is related to the positional notation. What is it? Let me give you an example. If you take numbers 24 and 42, the position of the number 4 is different. In 24, the number 4 is in the unit’s place, and in the number 42, it is in the tens place. So, the position of the number determines its value, and this is an important concept that civilizations have thought about and utilized in their counting systems.
The second aspect is the concept of zero. Let me give an example. If you consider number 007 and compare it to 700, obviously, depending on the location of the zero, the value of the number drastically changes. But what is intriguing is that various civilizations used a variety of symbols, such as dots, circles, and empty spaces, to represent nothingness.
What is not trivial is the recognition of zero as a number by itself. This needs a leap of thought because it must be an abstraction of a concept where the nothingness has to be associated with a number, and hence the association to zero. It was Brahmagupta around the year 628 CE in his Brahma Sputa Siddhanta that we first encountered the concept of zero as a number. This is indeed one of the great achievements because, without zero as a number, one cannot build mathematical concepts. It is both fundamental and profound. It has further played a critical role in laying the foundation of mathematics as we know it today.

02 Geometry

Now, let’s look at the connection between geometry and physics. Across various civilizations, the size and shapes of objects were curiosities, and understanding them was an important necessity for everyday life. Given that objects in the natural and artificial world come in various sizes and shapes, it was necessary to understand them for further utilization.


In ancient Greece, Thales of Miletus was one of the earliest to use a mathematical way of thinking and to formulate a framework to understand nature through logical analysis and not based on faith or myths. This thinking further percolated to all the subsequent philosophers, and that included a person named Pythagoras. Pythagoras’ life and times are not as well documented as those of other Greek philosophers, but by some estimates, he was supposed to have lived around 570 BCE to 495 BCE.


During that time, the Greeks had colonized various parts of Europe, and this included some parts of Italy. Pythagoras remained in that colonized part of Greece, where he had established a school, which was also interestingly a mythical cult. His school hardly shared any information with the outside world, and this is probably one of the reasons why there is very little known about Pythagoras’ life and times.


In fact, none of his writing has survived to date, and most of the information that we get is from indirect sources. However, the attribution of some scholars to Pythagoras’ work needs attention. Interestingly, Pythagoras did some experiments and tried to understand the production of sound.

He made an interesting connection to the strings and the pleasant sound that they produce. He hypothesized that there is a rational number of steps in strings that led to the pleasant sound. This thinking was further extrapolated to rational numbers, and that became an interesting connection. Pythagoras has also been attributed to have thought about astronomical objects.


Earth being spherical is one of the concepts that he had thought about and played a role in rationalizing the distances of objects such as the Sun, Moon, and planets. This kind of methodical thinking further influenced many Greek schools of thought, and this included the famous Plato’s Academy. Plato himself was a renowned philosopher, but he had a very strong inclination towards mathematics.


He also came up with the five solids and the four elements, which played a critical role in his interpreting of the natural world based on them. But it is in 300 BCE that we see an epoch in geometry in the form of Euclid’s Elements. Euclid of Alexandria was one of the great mathematicians whose work is still of significant relevance today.


Euclid, like many of his predecessors, had a life immersed in the ancient university system—in his case, the University of Alexandria. Again, not much is known about Euclid’s life and times, except for the fact that he wrote 13 volumes of his magnificent book titled Elements.


This book has turned out to be the foundation of mathematics and has played a critical role in creating a new worldview both for natural scientists and abstract mathematicians. Most of what we know today about Euclid is thanks to a Greek commentator, Theon of Alexandria, who lived roughly 700 years after Euclid. He played a critical role in interpreting and highlighting the works of Euclid, and going forward in time, Arabs took a keen interest in Euclid’s geometry and incorporated it into their education and research.


Euclid’s work on geometry is a masterpiece, which has 13 books in a series and contains 465 theorems. Each of them contains foundational knowledge about geometrical entities, including lines, angles, shapes, and solid geometries that past people had discussed. It is a tribute to his knowledge that Euclid’s Elements is still in print, and this shows how much the impact of Euclid has been over the centuries.


Importantly, the geometrical way of thinking has deeply influenced physics, along with the principle of counting and geometry. Physics, armed with mathematics, became an important way of looking at natural life in ancient times. This way of thinking further influenced another remarkable thinker named Archimedes of Syracuse.

If you want to think about a remarkable person who has deeply contributed to science and mathematics from ancient times, there is nobody better than Archimedes. Born in 287 BCE, Archimedes had a remarkable life because the number of things that are associated with him related to science, mathematics, and technology is probably unsurpassed compared to anybody else across the ages. Generally, when we talk about Archimedes, we associate him with the famous Eureka, where he probably ran naked in the excitement of discovering a specific concept related to buoyancy.

Of course, this might be altogether a myth, but the science that Archimedes did was indeed real and outstanding. He contributed to various areas in science, including mechanics, hydrodynamics, optics, engineering, and mathematics in both the pure and applied forms. We know about his achievements thanks to nine ancient Greek treatises, which give us a glimpse of his work.

An important aspect related to mechanics is the fact that in the ancient age, one can divide the contributions in terms of statics and dynamics. The dynamics aspect was mainly related to thinking driven by Aristotle and his school, which has turned out to be kind of incorrect from the modern viewpoint. But when it comes to statics, Archimedes had a very important role to play, and many of the discoveries he made have turned out to be correct and highly useful.

Related to statics, he wrote many interesting treatises, one of them being On the Equilibrium of Planes. In this book, he talks about the concept of the lever and utilizes the concept of the center of gravity. It is in this treatise where the concept of the center of gravity is used to understand various geometries, and he discusses the center of gravity of different geometrical objects.

Another important book related to Archimedes is On Floating Bodies. In this book, he discusses buoyancy and gives an important hypothesis to understand bodies immersed in a fluid. His discoveries were very critical in naval architecture.

Archimedes was not only an outstanding scientist but also an excellent engineer. He designed a water pump in which a hollow cylinder had a rotating helical shaft, which could pump water efficiently. This is usually called the Archimedes pump, and it has been used even to date.

Archimedes also contributed to the development of mathematics. He wrote On the Sphere and Cylinder and The Method, used for mechanical analysis.

One has to wonder whether he was one single person or many. Steven Strogatz’s book related to calculus, titled Infinite Powers: How Calculus Reveals the Secrets of the Universe, has a beautiful description of Archimedes’ contribution to understanding curves, including the circle and the determination of pi in an ingenious way. The logical process Archimedes used was unsurpassed for his time, and his contributions to science are among the most important from the ancient age.

There are also interesting stories related to his work, and one of them is called the Archimedes Palimpsest. A palimpsest is a technique in which one writes something, erases it, and rewrites on the same surface. In 1906, a Danish professor, Johan Heiberg, visited Constantinople to examine documents related to prayers, dated from the 13th century. To his surprise, it turned out that there was an underlying document beneath that prayer text, which was Archimedes’ writing.

It is truly outstanding that someone could discover such an important document after such a long time, and that’s another reason why one should do archival work—because you never know what kind of jewels one can discover. Archimedes contributed to various aspects of science, mathematics, and technology, but it is also vital to appreciate that he used a logical way of thinking. Such thinking had a deep influence on people who followed him, and even today, the process of his analysis stands up to scholarly scrutiny. It’s critical for us to realize that such people play a key role in spreading important ideas in science, in physics, and, in this case, mechanics.

Archimedes will surely be remembered as one of the greatest human beings who propelled human scientific thought. The legacy of Archimedes has been kept alive by introducing his figure on the Fields Medal, a major prize in mathematics. It’s considered the Nobel Prize equivalent in mathematics.

On the medal, there is an engraving with the quote: “Rise above oneself and grasp the world.” It is a great quotation to not only engrave on a medal but also to follow in letter and spirit.

With the same spirit to rise and grasp the world, we will explore the physics of mechanics going forward.

References:

GoogleTalksArchive, dir. 2012. The Archimedes Palimpsest. https://www.youtube.com/watch?v=Xe9uQVGkz9k.

Heath, T. L. 1897. The Works Of Archimedes. Cambridge University Press. http://archive.org/details/worksofarchimede029517mbp.

“Ishango Bone.” 2025. In Wikipedia. https://en.wikipedia.org/w/index.php?title=Ishango_bone&oldid=1280156982.

“Mathematics in India – Bhāvanā.” n.d. Accessed April 20, 2025. https://bhavana.org.in/mathematics-in-india-6/.

Padmanabhan, Thanu, and Vasanthi Padmanabhan. 2019. The Dawn of Science: Glimpses from History for the Curious Mind. Springer.

Stein, Sherman. 1999. Archimedes: What Did He Do Beside Cry Eureka?

Strogatz, Steven. 2019. Infinite Powers: How Calculus Reveals the Secrets of the Universe. Boston New York: Mariner Books.

Wu, Shiyue, and Francesco Perono Cacciafoco. 2024. “Understanding through the Numbers: Number Systems, Their Evolution, and Their Perception among Kula People from Alor Island, Southeastern Indonesia.” Humans 4 (1): 34–49. https://doi.org/10.3390/humans4010003.

Rene Dugas. 1955. A History Of Mechanics. http://archive.org/details/ahistoryofmechanics_201907.

Conversation with K. Sridhar

K. Sridhar is a theoretical physicist and author currently at Azim Premji University, Bengaluru. Formerly at TIFR Mumbai, his research spans high-energy physics, including extra dimensions and supersymmetry. Sridhar also engages deeply with philosophy, literature, and education. He is the author of Particle Physics of Brane Worlds and Extra Dimensions (Cambridge University Press) and co-editor of Breaking the Silo: Integrated Science Education in India. In this conversation, we discuss his intellectual pursuits, including his recent novel Ajita.

References:

[1]“Sridhar K,” Azim Premji University. Accessed: Apr. 11, 2025. [Online]. Available: https://azimpremjiuniversity.edu.in/people/sridhar-k

[2]K. Sridhar, AjitaA Novel 2025.https://www.amazon.in/Ajita-Novel-K-Sridhar/dp/9360451916

[3]“K. Sridhar,” Wikipedia. Mar. 14, 2025. Accessed: Apr. 11, 2025. [Online]. Available: https://en.wikipedia.org/w/index.php?title=K._Sridhar&oldid=1280380793

[4]Biswa Kalyan Rath, Friendship with Science – Episode 1 – Atoms – Prof. K Sridhar, Shashi Thutupalli, Biswa Kalyan Rath, (May 10, 2024). Accessed: Apr. 11, 2025. [Online Video]. Available: https://www.youtube.com/watch?v=2JvfxeGRwME

[5]Biswa Kalyan Rath, Friendship with Science – Ep4 – Atoms Pt. II – Prof. K Sridhar, Shashi Thutupalli, Biswa Kalyan Rath, (Jun. 21, 2024). Accessed: Apr. 11, 2025. [Online Video]. Available: https://www.youtube.com/watch?v=c3Noqji1Myk

[6]Biswa Kalyan Rath, Friendship with Science: Atoms 3 with Prof Sridhar K, Shashi Thutupalli & Biswa Kalyan Rath, (Sep. 08, 2024). Accessed: Apr. 11, 2025. [Online Video]. Available: https://www.youtube.com/watch?v=YcB9Sknxq2s

[7]“Krishnamoorthy Sridhar – INSPIRE.” Accessed: Apr. 11, 2025. [Online]. Available: https://inspirehep.net/authors/987825

Physics Portal of Aristotle

In the previous essay, we discussed engineering civilizations. Specifically, we discussed how philosophy and technology have played a critical role in the betterment of civilization. In addition, the fact that thoughts and tools have direct implications on how human beings live cannot be overstated.

Over the centuries, there have been many people who have played a critical role in advancing philosophical thoughts and engineering tools that have directly or indirectly influenced the development of physics. Before we really get into the specifics of the science of mechanics and its historical developments, we need to investigate some of the ideas that were part of the discussion in ancient civilizations. Given that mechanical tools date back to the prehistoric era, it is not surprising that human beings took an interest in understanding how the world works within their proximity.

In such a development, a human being is always curious to understand and harness nature. To do this effectively, one will have to systematically think about how nature works. According to the existing literature from a history of science viewpoint, the Greek philosophers occupy a very special position.

Part of the reason is that their thoughts were recorded in some form or another, and these thoughts date back to a period as early as 300 to 400 BCE or even before. This also coincides with the time at which writing became an important tool to propagate ideas, and therefore, one can see the emergence of historical evidence from this era. The Greek philosophers have a great reputation in Western philosophy and have influenced the development of scientific thinking for a very long period.

This does not mean that people from other civilizations did not think about tools and philosophical ideas. Just that the availability of written records, either direct or indirect, has been one of the hallmarks of Greek civilization. Thanks to the accumulation of these texts, either in the primary or in the secondary source form, it has played a critical role in identifying a specific point in Western civilization(1).

Physics, as we know it in the 21st century, has a very different avatar compared to its origin. Among the many Greek philosophers who seriously thought about natural philosophy was Aristotle(2). Aristotle has had a long legacy of being the student of some great thinkers from the Hellenistic era.

Aristotle was a student of Plato, and Plato was a student of Socrates. So, these three gentlemen have contributed to Western philosophy in such a great way that one cannot discuss anything about philosophical discourse without bringing them into the picture. The origins of physics, too, have some connection to these gentlemen, specifically to Aristotle(3), who was guided by some processes of thinking developed by Socrates and his direct guru, Plato.

The Plato school of thinking deeply influenced Aristotle, and yet he paved his own way in Western philosophy. He was also one of the first writers among these philosophers to seriously think about natural philosophy in the form and shape that resembles the current day science. His questions were related to natural phenomena, and it is by studying them that we realize Aristotle’s contribution. As I always keep saying, it is not just the answers that make great thoughts; it is also the questions that elevate the answers and make them profound. In that way, Aristotle’s questions were profound.

Therefore, I need to emphasize the quality of the questions that Aristotle asked instead of just emphasizing the answers he gave in the process of this questioning. It also indicates that current-day physics, as we now know it is not in the form Aristotle thought about, but we can see a glimpse of some interesting ideas in Aristotle, which turned out to be extremely important. It became so critical that for the next thousand years from the time of Aristotle, the Western philosophy and the science that emerged out of it kept Aristotle as an important benchmark and developed its thought either in agreement or in rejection of Aristotle’s idea.

So much so that this thinking process in reference to Aristotle’s idea not only influenced Western civilization but also had a very deep implication for Islamic civilizations. Although Aristotle’s ideas became critical in ancient Europe and the ancient Islamic world, its ideas and categorizations of knowledge found relevance across various civilizations.

So, let’s try to get a glimpse of the man himself – Aristotle. Let us look at the biographical details of this remarkable individual and learn about his work.

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The Life of Aristotle

Aristotle was born in Stagira, Macedonia, which is in the northern part of Greece, in 384 BCE. His father was a physician to one of the kings in Macedon, and Aristotle was probably influenced by his father’s way of thinking about nature and natural phenomena. Of course, this is all conjecture because nobody knows the exact nature of the interaction between Aristotle and his father. However, this reconstruction is generally accepted based on historical texts(4).

When Aristotle was around 17 years old, in 367 BCE, he was sent to Athens to join the remarkable institution known as Plato’s Academy. During that period, Plato’s Academy was one of the leading intellectual centers in Europe, playing a critical role in shaping the thinking of various philosophers, including Aristotle.

It was at this place that Aristotle honed his skills in philosophical argumentation and the observation of nature and natural phenomena. This foundation played a crucial role in shaping his later works. For approximately 20 years, Aristotle remained at Plato’s Academy.

After Plato died in 348 BCE, Aristotle moved elsewhere. Historical texts suggest two possible reasons for his departure. One possibility is that he had intellectual differences with Plato’s nephew, who took over the Academy. The second possible reason is that the political atmosphere in Athens had become increasingly hostile toward people from Macedonia. These reasons, of course, remain speculative, although they are mentioned in historical literature.

In 343 BCE, King Philip II of Macedon invited Aristotle to tutor his son, Alexander. This is the same Alexander whom history remembers as Alexander the Great, though we will refer to him simply as Alexander. Aristotle played a crucial role in educating Alexander for more than five to seven years, deeply influencing the future conqueror’s thought process.

After about seven to eight years, Aristotle returned to Athens and established the Lyceum, a school of philosophy that had a profound impact on Western thought. This school had a unique feature—philosophers often lectured while taking long walks. As a result, the school came to be known as the Peripatetic School, recognized for its tradition of philosophical discourse while on the move.

During this period, around 330 BCE, Aristotle produced some of his most significant works, particularly in the context of physics. Even before leaving Athens, he had made substantial contributions to topics related to biology. However, in this second phase of his career, his focus broadened to natural philosophy, logic, ethics, aesthetics, rhetoric, and even music. This vast intellectual repertoire is one of Aristotle’s most remarkable features(4).

Around 323 BCE, Aristotle left Athens again following the untimely death of Alexander. During that period, anti-Macedonian sentiment was widespread in Athens, which likely motivated his departure. Within a year of leaving, around 322 BCE, Aristotle passed away at the age of 62. The probable cause of his death appears to have been natural.

All this information, of course, is based on historical sources that have been passed down through the centuries(4). One should always be cautious when interpreting ancient texts, as most of these sources survive only in translation rather than their original form. There is always a possibility of inaccuracies, and one must approach these accounts with care.

Aristotle’s intellectual journey covered a vast spectrum of human inquiry, from the heavens, as in astronomy, to logic within the framework of mathematics and, of course, physics. His interests also overlapped with observational phenomena and the life around him, which is evident from the questions he explored. Among his many areas of interest, we will focus primarily on Aristotle and his contributions to physics.

Aristotle’s writings on natural philosophy cover a vast range of topics, from celestial bodies to the nature of matter and motion. His works, though sometimes speculative by modern standards, laid the foundation for centuries of philosophical and scientific thought(5). Much of what we know about Aristotle comes from the preserved writings of later scholars, as very few primary sources from Aristotle himself remain.

Before I discuss Aristotle’s book, a few words on the origin of the word Physics. The word physics is derived from a Greek word called phusikḗ, which means natural science. This word has its origin in another word, and it is called phúsis, which means nature in Greek. The modern definition of physics is essentially derived from the Latin word physikā, which essentially means the study of nature.

This word was adapted by the old French, which was further adapted by English to be transformed into the word physics, as in natural philosophy.

 In the context of Aristotle, it is the Greek word phúsis, meaning nature, is central to this discussion.

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The Eight Books of Physics

Aristotle’s Physics is divided into eight books(6), each exploring different aspects of nature and motion. Specifically, he was interested in the principles and causes of change and motion of objects. Let me give you an overview of his books.

Book One introduces Aristotle’s fundamental concepts of matter and form. A key discussion in this book is the doctrine of the four causes: the material cause, which explains what something is made of; the formal cause, which defines its shape or essence; the efficient cause, which refers to the force or agent that brings about change; and the final cause, which represents the purpose or end goal of an object or process. These causes provide a framework for understanding physical interactions and transformations.

In Book Two, Aristotle argues for teleology—the idea that nature has inherent purposes. He defends the study of nature as a legitimate form of scientific inquiry and lays out a methodological foundation for observing and interpreting natural phenomena.

Book Three explores the nature of change. Aristotle distinguishes between actuality, the realized state of an object brought about by an external force, and potentiality, the inherent capability of an object to become something else. This distinction is significant in understanding motion and transformation.

In Book Four, Aristotle explores the nature of voids, rejecting the concept of a vacuum. He also presents an interesting perspective on time, defining it as a measure of change.

Book Five classifies different kinds of motion, an important step in distinguishing natural movement from forced motion.

In Book Six, Aristotle discusses the nature of continuity and the concept of infinity. He argues against the existence of actual infinity, emphasizing the finiteness of physical reality.

Book Seven introduces the concept of the Prime Mover—an external force that initiates movement. This idea becomes central to Aristotle’s broader cosmology.

Book Eight expands on the idea of the Prime Mover as the ultimate cause of cosmic motion. This notion of an external force influencing the universe had a lasting impact on Western thought, intertwining scientific and theological perspectives for centuries.

Related to these books was Aristotle’s book titled On the Heavens. In there, Aristotle discussed his celestial theories. This four-part work, On the Heavens, explores the nature of celestial bodies and their motion.

He proposes that heavenly bodies are made of ether, a perfect and unchanging substance.

Aristotle also argues that the Earth is spherical and that celestial objects move in circular orbits—a belief that persisted until Kepler’s elliptical model. He discusses why celestial objects move in circular paths, distinguishing their motion from that of objects on Earth.

Expanding on his theory of the five fundamental elements—earth, water, air, fire, and ether—Aristotle’s ideas parallel similar concepts in other ancient civilizations, such as those in India and Mesopotamia.

Aristotle also studied natural phenomena through observations, and a related 4 book series was titled Meteorology. These books addressed:

  • Weather phenomena (clouds, wind, rain, lightning)
  • Natural bodies (lakes, rivers, seas, and geological formations)
  • Dynamic processes such as volcanoes and the transformation of matter

Another interesting book that Aristotle wrote about was based on his views on matter. The title of the work is unconventional and reads: On Generation and Corruption. This work, consisting of two books, discusses:

  • The four elements and their combinations in forming matter
  • The processes of transformation, mixing, and decomposition of substances

One may wonder how we know so much about Aristotle, even though he lived around 350 BCE. This is one of the remarkable features of human beings. They carry forward ideas from one generation to another.

Of course, this transmission across ages may cause errors in translation, but at least we get a gist of the idea through percolation. The records that we obtain through transmission will depend on the preservation of the sources of ideas. This is where the written text becomes so important because a physical text can be preserved, transported and reproduced with relative ease compared to oral records from the past.

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Most of the information about Aristotle comes from Corpus Aristotelisium(4). This is a multinational project about preserving Aristotle’s work. Around 200 texts are associated with Aristotle, out of which 31 have survived as the ancient textual evidence. These texts are from later eras across different countries, but one can make a connection to the original source through educated guesses and cross-connections.

So, I hope you have got a glimpse of and range of topics Aristotle was interested in from a physics viewpoint. Aristotle’s broad approach to physics covered motion, change, matter, and the cosmos. While many of his explanations were later refuted, his method of questioning and systematic exploration laid the groundwork for future scientific inquiry(5). His emphasis on philosophical reasoning remains an essential part of the intellectual history of physics.

In this essay, we discussed the origins of physics from Aristotle’s philosophical viewpoint. We learnt about his life and remarkable scholarly output. Going forward, we will explore other ideas and thinkers from the ancient age whose work you will generally find in physics textbooks. Can you guess what ideas they are and whom I am referring to? Think about it for a while…

References:

1.            Adamson P. Classical Philosophy: A history of philosophy without any gaps, Volume 1. Oxford, New York: Oxford University Press; 2014. 368 p. (A History of Philosophy).

2.            Shields C. Aristotle. In: Zalta EN, Nodelman U, editors. The Stanford Encyclopedia of Philosophy [Internet]. Winter 2023. Metaphysics Research Lab, Stanford University; 2023 [cited 2025 Mar 27]. Available from: https://plato.stanford.edu/archives/win2023/entries/aristotle/

3.            Bodnar I. Aristotle’s Natural Philosophy. In: Zalta EN, Nodelman U, editors. The Stanford Encyclopedia of Philosophy [Internet]. Spring 2025. Metaphysics Research Lab, Stanford University; 2025 [cited 2025 Mar 27]. Available from: https://plato.stanford.edu/archives/spr2025/entries/aristotle-natphil/

4.            Winzenrieth J. The Textual Transmission of the Aristotelian Corpus. In: Zalta EN, Nodelman U, editors. The Stanford Encyclopedia of Philosophy [Internet]. Spring 2025. Metaphysics Research Lab, Stanford University; 2025 [cited 2025 Apr 2]. Available from: https://plato.stanford.edu/archives/spr2025/entries/aristotle-text/

5.            Rovelli C. Aristotle’s Physics: A Physicist’s Look. J Am Philos Assoc [Internet]. 2015 Apr [cited 2025 Mar 31];1(1):23–40. Available from: https://www.cambridge.org/core/journals/journal-of-the-american-philosophical-association/article/aristotles-physics-a-physicists-look/60964532EE56BA65655971A314FD9717

6.            Aristotle. Physics (around 350 BCE) [Internet]. [cited 2025 Apr 2]. Available from: https://classics.mit.edu/Aristotle/physics.html

Culture of Science – Solo episodes

  1. Pratidhvani – Introduction
  2. Inspirations from Japan
  3. Six Jugalbandis of Scientific Research
  4. Science, Rationality and Compassion
  5. Ashkin’s Story – no prize to Nobel prize
  6. Importance of Failed Experiments
  7. Two Chandrasekhars and their students
  8. Gripping History of Laser Invention
  9. An Indian Prof’s 15 lessons
  10. Let go… the ego!
  11. A call from Varanasi
  12. 6 reasons why I do Science
  13. Leonardo, Rayleigh & Blue Sky research
  14. Heaviside को Maxwellian क्यों कहा जाता है?
  15. Sadi Carnot & Thermodynamics
  16. Masterpiece: The Book of Optics by al-Haytham
  17. CV Raman and Quantum Mechanics
  18. Gerhard Herzberg – scientific life
  19. Why Read Books in the age of the internet?
  20. Listening spell-bound to Prof. Raman
  21. Science + History = ??
  22. Physics & Pratidhvani
  23. Daniel Dennett on Criticism
  24. Icons of Science in India – some thoughts

Conversations with Scientists, Historians, Philosophers, Writers etc.

PRATIDHVANI – HUMANIZING SCIENCE

  1. Conversation with Aditi Sen (De)
  2. Conversation with Sutirth Dey
  3. Conversation with Seema Sharma
  4. Conversation with Nagaraj Balasubramanian
  5. Conversation with Saptarshi Basu
  6. Conversation with Amitabh Joshi
  7. Conversation with Ranjini Bandyopadhyay
  8. Conversation with E Arunan
  9. Conversation with Kaneenika Sinha
  10. Conversation with Arindam Ghosh
  11. Conversation with M.S. Santhanam
  12. Conversation with Biman Nath
  13. Conversation with Vishwesha Guttal
  14. Conversation with Sudeshna Sinha
  15. Conversation with Dibyendu Nandi
  16. Conversation with Kasturi Saha
  17. Conversation with Sourabh Dube
  18. Conversation with Srabanti Chaudhury
  19. Conversation with Nirmalya Kajuri
  20. Conversation with Jasjeet Singh Bagla
  21. Conversation with Angshuman Nag
  22. Conversation with Nirmal Raj
  23. Conversation with Neeldhara Misra
  24. Conversation with Ashish Arora
  25. Conversation with Shivakumar Jolad
  26. Conversation with Atikur Rahman
  27. Conversation with Susmita Adhikari
  28. Conversation with Suresh Govindarajan
  29. Conversation with B. Ananthanarayan
  30. Conversation with Akhlesh Lakhtakia
  31. Conversation with Anisa Chorwadwala
  32. Conversation with Deepak Dhar
  33. Conversation with Sandhya Koushika
  34. Conversation with Umakant Rapol
  35. Conversation with Jayant Murthy
  36. Conversation with Sudipta Maiti
  37. Conversation with Snigdha Thakur
  38. Conversation with Mayurika Lahiri
  39. Conversation with Sundar Sarukkai
  40. Conversation with Dibakar Roy Chowdhury
  41. Conversation with Arnab Mukherjee
  42. Conversation with Devapriya Chattopadhyay
  43. Conversation with Venu Gopal Achanta
  44. Conversation with Guruswamy Kumaraswamy
  45. Conversation with Pushkar Sohoni
  46. Conversation with Neeraja Dashaputre
  47. Conversation with Sreejith G.J.
  48. Conversation with Jeevanjyoti Chakraborty
  49. Conversation with Sivarama Krishnan
  50. Conversation with Pramod Pillai
  51. Conversation with Joy Mitra
  52. Conversation with Joyee Ghosh
  53. Conversation with Harinath Chakrapani
  54. Conversation with Sunil Nair
  55. Conversation with Urbasi Sinha
  56. Conversation with Anindita Bhadra
  57. Conversation with Anindya Datta
  58. Conversation with Subhankar Bedanta
  59. Conversation with Ganesh Bagler
  60. Conversation with Chinmay Tumbe
  61. Conversation with Gautam Menon
  62. Conversation with Chaitra Redkar
  63. Conversation with Aninda Sinha
  64. Conversation with Bhaskaran Muralidharan
  65. Conversation with Ayan Banerjee
  66. Conversation with Sangeeta Kale
  67. Conversation with Siddharth Tallur
  68. Conversation with Karishma Kaushik
  69. Conversation with Samrat Mukhopadhyay
  70. Conversation with Vivek Polshettiwar
  71. Conversation with Vinita Gowda
  72. Conversation with K. Sridhar
  73. Conversation with Bejoy Thomas
  74. Conversation with Vijaykumar Krishnamurthy
  75. Conversation with Shubashree Desikan
  76. Conversation with Vipul Dutta
  77. Conversation with Robert T. Pennock
  78. Conversation with Shivprasad Patil
  79. Conversation with Kollegala Sharma
  80. Conversation with Arka Banerjee
  81. Conversation with Aparna Deshpande
  82. Conversation with Amit Agarwal
  83. Conversation with Vijay Chikkadi
  84. Conversation with Jyotishman Dasgupta
  85. Conversation with A.R.Venkatachalapathy
  86. Conversation with Satish Patil
  87. Conversation with Chaitanya Athale
  88. Conversation with Srubabati Goswami
  89. Conversation with Krishnendu Sengupta

All Episodes

Pratidhvani – Humanizing Science

(also on YouTube, Spotify, Apple podcast)

Namaste, Hola, & Welcome from G.V. Pavan Kumar.

Pratidhvani (ಪ್ರತಿಧ್ವನಿ/प्रतिध्वनि) means reflection or resonance (of sound). Here, the aim of the podcast is to resonate with knowledge & humanize science.
The podcast has two themes:
1) History & Philosophy of Physical Sciences & Technology,
2) Conversations with people related to their intellectual journey & themes mentioned in 1)
Below is the link to all the episodes. Italicized ones are solo episodes

  1. Pratidhvani – Introduction
  2. Inspirations from Japan
  3. Six Jugalbandis of Scientific Research
  4. Science, Rationality and Compassion
  5. Ashkin’s Story – no prize to Nobel prize
  6. Importance of Failed Experiments
  7. Two Chandrasekhars and their students
  8. Gripping History of Laser Invention
  9. Conversation with Aditi Sen (De)
  10. Conversation with Sutirth Dey
  11. Conversation with Seema Sharma
  12. Conversation with Nagaraj Balasubramanian
  13. Conversation with Saptarshi Basu
  14. Conversation with Amitabh Joshi
  15. Conversation with Ranjini Bandyopadhyay
  16. An Indian Prof’s 15 lessons
  17. Conversation with E Arunan
  18. Conversation with Kaneenika Sinha
  19. Conversation with Arindam Ghosh
  20. Conversation with M.S. Santhanam
  21. Conversation with Biman Nath
  22. Conversation with Vishwesha Guttal
  23. Conversation with Sudeshna Sinha
  24. Conversation with Dibyendu Nandi
  25. Conversation with Kasturi Saha
  26. Conversation with Sourabh Dube
  27. Conversation with Srabanti Chaudhury
  28. Conversation with Nirmalya Kajuri
  29. Conversation with Jasjeet Singh Bagla
  30. Conversation with Angshuman Nag
  31. Conversation with Nirmal Raj
  32. Let go… the ego!
  33. A call from Varanasi
  34. 6 reasons why I do Science
  35. Conversation with Neeldhara Misra
  36. Conversation with Ashish Arora
  37. Conversation with Shivakumar Jolad
  38. Conversation with Atikur Rahman
  39. Conversation with Susmita Adhikari
  40. Conversation with Suresh Govindarajan
  41. Conversation with B. Ananthanarayan
  42. Conversation with Akhlesh Lakhtakia
  43. Conversation with Anisa Chorwadwala
  44. Conversation with Deepak Dhar
  45. Leonardo, Rayleigh & Blue Sky research
  46. Conversation with Sandhya Koushika
  47. Conversation with Umakant Rapol
  48. Conversation with Jayant Murthy
  49. Heaviside को Maxwellian क्यों कहा जाता है?
  50. Conversation with Sudipta Maiti
  51. Conversation with Snigdha Thakur
  52. Conversation with Mayurika Lahiri
  53. Conversation with Sundar Sarukkai
  54. Conversation with Dibakar Roy Chowdhury
  55. Conversation with Arnab Mukherjee
  56. Conversation with Devapriya Chattopadhyay
  57. Conversation with Venu Gopal Achanta
  58. Conversation with Guruswamy Kumaraswamy
  59. Conversation with Pushkar Sohoni
  60. Conversation with Neeraja Dashaputre
  61. Conversation with Sreejith G.J.
  62. Sadi Carnot & Thermodynamics
  63. Masterpiece: The Book of Optics by al-Haytham
  64. CV Raman and Quantum Mechanics
  65. Conversation with Jeevanjyoti Chakraborty
  66. Conversation with Sivarama Krishnan
  67. Conversation with Pramod Pillai
  68. Conversation with Joy Mitra
  69. Conversation with Joyee Ghosh
  70. Conversation with Harinath Chakrapani
  71. Conversation with Sunil Nair
  72. Conversation with Urbasi Sinha
  73. Conversation with Anindita Bhadra
  74. Conversation with Anindya Datta
  75. Conversation with Subhankar Bedanta
  76. Conversation with Ganesh Bagler
  77. Conversation with Chinmay Tumbe
  78. Conversation with Gautam Menon
  79. Gerhard Herzberg – scientific life
  80. Conversation with Chaitra Redkar
  81. Conversation with Aninda Sinha
  82. Conversation with Bhaskaran Muralidharan
  83. Conversation with Ayan Banerjee
  84. Why Read Books in the age of the internet?
  85. Conversation with Sangeeta Kale
  86. Conversation with Siddharth Tallur
  87. Conversation with Karishma Kaushik
  88. Conversation with Samrat Mukhopadhyay
  89. Conversation with Vivek Polshettiwar
  90. Listening spell-bound to Prof. Raman
  91. Conversation with Vinita Gowda
  92. Science + History = ??
  93. GHoP 001 Engineering Civilizations
  94. GHoP 002 Physics Portal of Aristotle
  95. Conversation with K. Sridhar
  96. GHoP 003 Maths, Mechanics & Eureka
  97. Physics & Pratidhvani
  98. Conversation with Bejoy Thomas
  99. Conversation with Vijaykumar Krishnamurthy
  100. GHoP 004 Hero’s Journey in Mechanics
  101. Conversation with Shubashree Desikan
  102. Conversation with Vipul Dutta
  103. Conversation with Robert T. Pennock
  104. Conversation with Shivprasad Patil
  105. Conversation with Kollegala Sharma
  106. Conversation with Arka Banerjee
  107. Conversation with Aparna Deshpande
  108. Conversation with Amit Agarwal
  109. Conversation with Vijay Chikkadi
  110. Conversation with Jyotishman Dasgupta
  111. Conversation with A.R.Venkatachalapathy
  112. Conversation with Satish Patil
  113. Daniel Dennett on Criticism
  114. Conversation with Chaitanya Athale
  115. Icons of Science in India – some thoughts
  116. Conversation with Srubabati Goswami
  117. Conversation with Krishnendu Sengupta