### It Took Me 10 Years to Understand Entropy, Here is What I Learned.

From the Big bang to the Heat death of the universe

From the Big bang to the Heat death of the universe

It’s not because you’re stupid or weren’t concentrating in school

Two envelopes with different amounts of money in them. Choose the better one with a higher chance than fifty-fifty!

Natural numbers were created by God, everything else is the work of men — Kronecker (1823–1891).

In a purely logical argument, even if the premises aren’t in any way (semantically) connected to the conclusion, the argument may still be both valid and sound. Professor Edwin D. Mares displays what he sees as a problem with purely formal logic when he offers us the following example

Motion of a moving particle is considered to be one of the most instructive and useful physical systems one can study. In a real world case, such systems may exhibit immense complexity and intractability. But if we are lucky, we may be able to isolate the moving particle from unwanted

The nature of subsymmetries

The British writer, mathematician and logician Charles Lutwidge Dodgson (which was Lewis Carroll’s real name) worked in the fields of geometry, matrix algebra, mathematical logic and linear algebra. Dodgson was also an influential logician. (He introduced the Method of Trees; which was the earliest use of a truth tree.

A Framework For Defining Geometric Objects In Space

Developing an Intuition for Radicals

The three main contemporary ways to understand the foundations of mathematics.

Why engineers should know their algorithms

Proof Theory

Computational neuroscience, broadly defined, is the mathematical and physical modeling of neural processes at a chosen scale, from molecular and cellular to systems, for the purpose of understanding how the brain represents and processes information. The ultimate objective is to provide an understanding of how an organism takes in sensory

Philosophy

This piece wouldn’t have been called ‘Who Says Nature is Mathematical?’ if it weren’t for the many other similar titles which I’ve seen. Take these examples: ‘Everything in the Universe Is Made of Math — Including You’, ‘What’s the Universe Made Of? Math, Says Scientist’ and ‘Mathematics

Particle Physics

Sweety, let me see what you got inside.

Group Theory

The nature of symmetry and the symmetry of nature

Philosophy

What the philosophy of mathematics is useful for? Max Black, the author of The Nature of Mathematics (1933), thought the main task of the foundation of mathematics (and, consequently the main task of any philosophy of mathematics) would be to elucidate “and analyze the notion of integer or natural number”

Geometry

Understanding the sun-to-planets absolute distances was a long-run investigation proceeding with new scientific-tools and new laws. As a police case requires time and symmetry of action that concatenates all threads within one bracket, space exploration is alike. At the time of Venus transit in 1761, scientists had all to kill

Discrete Mathematics

My most striking contribution to geometry is, no doubt, my problem on the number of distinct distances. This can be found in many of my papers on combinatorial and geometric problems. -Paul Erdős, On Some of My Favorite Theorems, 1996. Erdős is one of the greatest mathematicians from history, and

Relativity

And how to repair physics

Poincaré

Was his philosophy of mathematics underrated?

Series

Generalizing Leibniz' formula for π, the alternating harmonic series, and the Basel problem

Constructivism

This is the second part of my piece on Raymond Louis Wilder (1896–1982) and his philosophical, historical and anthropological account of mathematics. I suggest that the reader refer back to the introduction to my ‘Raymond L. Wilder’s Anthropology of Mathematics: Platonism and Applied Mathematics’for Wilder’s biographical

Cryptography

We discuss a range of integer factorization algorithms that can run on classical computers and explore their future in the face of Shor’s algorithm.