# Tag Archives: mathematics

## Irrational Happiness

When I started writing this blogpost a week ago, I wrote this: “When times are as difficult and unpredictable as they are today, I find comfort in mathematics. No matter how things turn out, how many more difficulties come our … Continue reading

## What Is Mathematics?

Mathematics is a language. More specifically, mathematics is the language that scientists use to organise and order observations. For example, physicists may describe falling stones in terms of mathematical concepts like parabolas and perfect spheres and sociologists describe their observations … Continue reading

## PhD Dissertation

I have defended my PhD dissertation on 13/07/2017 in Utrecht. Below you can find the documents which have kept me busy for several years: Preface (English) Samenvatting (Nederlands) Gearfetting (Frysk) Complete Dissertation

## Does Science Describe Reality?

In the philosophy of science there is a debate about whether scientific theories tell us what the world is really like, or whether scientific theories are nothing more than ‘tools’ or ‘instruments’ – useful for making predictions, but not for … Continue reading

## How Natural Is The Natural Logarithm?

I want to show in this post that the natural logarithm is not natural – it is not a characteristic of objective nature. The natural logarithm pops up everywhere in science: biology, sociology, economics… and the list goes on. Every student of … Continue reading

## Kant & Modern Physics

The part of Kant’s philosophy that I’ll be discussing in this post is Kant’s view on human knowledge. The central idea of Kant is rather straightforward: the world must be such that knowledge is possible. The world, according to Kant, must … Continue reading

## Probability “0” Is Not Impossibility

LAST EDITED: July 20, 2019 “The dart that said zero” The probability that a dart will hit any specific point on a dartboard is zero because there are infinitely many points on the board. And yet if you throw a … Continue reading

## Probability “1” Is Not Certainty

They sometimes say that if you try something very often then you will succeed. Say you play a game of dice and in every round there is a non-zero probability that you’ll win. As the number of rounds you play … Continue reading