Music is a hidden arithmetic exercise of the soul, which does not know that it is counting.

-- Gottfried Leibniz

Always remember that it is impossible to speak in such a way that you cannot be misunderstood: there will always be some who misunderstand you.

-- Karl Popper

A dictatorship means muzzles all round and consequently stultification. Science can flourish only in an atmosphere of free speech.

-- A. Einstein
(1879 - 1955)

What is the best language to understand the universe? and why is it mathematics? ✍️

Born today in 1629, Christiaan Huygens (1629–1695) was a Dutch mathematician, astronomer, and physicist who pioneered the wave theory of light, invented the pendulum clock, and discovered Saturn's rings and its moon Titan.

A chemist froze himself at -273.15°C, everyone said he was crazy but he was 0K.

The first rigorous mathematical definition of a circle was given by Euclid (circa 300 BC) in his Elements (Definition 15).

Solutions like the Schwarzschild and Kerr metrics allow analytic extension beyond the singularity, but quantum gravity likely invalidates that region—so parts of the solution may be mathematical artifacts rather than physical reality.

I think it’s a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematicalrelations which maybe don’t have any physical meaning at all. Sometimes they do.

-- Paul A. Dirac

I have trouble with Dirac. This balancing on the dizzying path between genius and madness is awful.

-- A. Einstein,
Letter to Paul Ehrenfest (1926).

Only physics nerds can tell who is missing in this photo ✍️

Anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that my ignorance is just as good as your knowledge.

-- Isaac Asimov

Number is the ruler of forms and ideas, and the cause of gods and daemons.

-- Pythagoras (c. 570 BC – c. 496 BC)

What language does the word algebra come from? ✍️

Mathematics is the study of anything that obeys the rules of logic, using the rules of logic.

-- Eugenia Cheng, 2015

Who is more humble? The scientist who looks at the universe with an open mind and accepts whatever the universe has to teach us, or somebody who says everything in this book must be considered the literal truth and never mind the fallibility of all the human beings involved?

-- Carl Sagan

Isaac Newton and Gottfried Wilhelm Leibniz independently developed infinitesimal calculus in the late 17ᵗʰ century.

Their methods differed, and a priority dispute arose, but modern consensus holds both made genuine, separate contributions.

Mention one legendary Physics textbook ✍️

In the 18ᵗʰ century, Leonhard Euler standardized many mathematical symbols still used today, such as i for the imaginary unit and π for the circle constant, and made major contributions to graph theory, analysis, and number theory.

You can select only one combination, which one would you choose? ✍️

• physics and philosophy
• philosophy and mathematics
• mathematics and AI
• physics and mathematics

The number zero as we use it today — as an actual integer with arithmetic rules — was first clearly defined in the 7ᵗʰ century CE by Indian mathematician Brahmagupta; before that, symbols for “nothing” existed, but not with full numeric rules.

Kurt Gödel, a prolific mathematician and philosopher, showed that (1931),

within any sufficiently powerful mathematical system there are true statements that cannot be proven within that system —

a result with deep implications for logic, math, and philosophy.

Opinions have caused more ills than the plague or earthquakes on this little globe of ours.

-- Voltaire
(1694 – 1778)

Is death a biological inevitability or just an engineering problem we haven't solved yet? 🧠