The Paradox of Choice is a psychological phenomenon that refers to the idea that having too many choices can actually be detrimental to our well-being and decision-making processes. This paradox was first introduced by psychologist Barry Schwartz in his book "The...

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## Infinite Series

An infinite series is a sum of infinitely many quantities. Series play a very relevant role in calculus and its generalizations such as functional analysis and discrete mathematics. Since summing infinitely many elements is hard to grasp, a better way to describe an...

## The Four-Color Theorem

The Four-Color Theorem is a theorem that has its roots in graph theory. The theorem states that any planar graph can be colored properly with four colors. Here properly colored means that no two vertices of the graph that are connected are colored using the same...

## Bayesian Statistical Inference

Statistical inference is the use of data analysis to say something about the probability distribution of the underlying data. A very common tool to say something about the likely distribution of data is the method of maximum likelihood. Here we make an assumption of...

## Tornado Cash

Tornado Cash is a tool used on the blockchain. Specifically on the Ethereum blockchain and is known as a crypto mixer. Recently Tornado Cash has been in the news because it has been added to the Specially Designated National & Blocked Persons List (SDN). This...

## Differential equations ODEs versus PDEs

Differential equations came paired with the invention of calculus and have been around for a long time. They are still the main study of a lot of mathematicians. Many famous mathematicians such as Newton, Leibniz, d’Alembert, Euler and Lagrange have made discoveries...

## The Infinite Monkey Paradox

To most people the notion of infinity is unfathomable. That has to do with the strange behavior some things demonstrate when the concept of infinity is introduced. Think for example of an infinite time horizon. No one knows what it feels like for an infinite amount of...

## Diophantine equations

Diophantine equations are polynomial equations over the integers. These are useful in many fields of mathematics such as group theory and operations research.

## Quantum immortality

In quantum mechanics, physicists have come up with all kinds of thought experiments. Quantum suicide and quantum immortalilty are examples of these thought experiments. They are a variation on the most famous problem in quantum mechanics, Schrödinger’s cat. This...

## The raven paradox

The raven paradox Econometricians face difficult problems. One of the hardest problems one can encounter is a paradox. The raven paradox is such a problem and was first proposed by logician Carl Gustav Hempel. The paradox has its basis in statististics. In this...