"Probability is the logic of science."
There is a deep truth behind this conventional wisdom: probability is the mathematical extension of logic, augmenting our reasoning toolkit with the concept of uncertainty.
In-depth exploration of probabilistic thinking incoming:
This is not a trick: the cosine of the imaginary number 𝑖 is (e⁻¹ + e)/2.
How on Earth does this follow from the definition of the cosine? No matter how hard you try, you cannot construct a right triangle with an angle 𝑖. What kind of sorcery is this?
Read on to find out:
There is a non-recursive formula for the Fibonacci numbers, expressing them in terms of the golden ratio and its powers.
Why should you be interested? Because it teaches an extremely valuable lesson about power series.
Read on to find out what:
Ever been curious about those personality type tests? This is a must watch on Carl Jung contribution to these evaluations.
The Danger of Seeing What Others Don’t - Carl Jung youtu.be/G2nrOrCB-Qg?fe… via YouTube