# Category Archives: Philosophy of 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 Does ‘=’ Mean?

It is often said that in mathematical equations, such as ‘2+2=4’, the symbol ‘=’ represents the fact that on both sides of the equation there is the same thing. That’s wrong: on the one side there are three symbols, while … Continue reading

## Wikimedia2017 lezing – Feiten bestaan!?

Vragen aan het Publiek Steek uw hand omhoog als u denkt dat de uitdrukking klopt. ‘feiten bestaan niet’ ‘feiten kunnen waar of onwaar zijn’ ‘feiten kunnen waargebeurd zijn’ ‘een verhaal kan waargebeurd zijn’ Volgens de Nederlandse Van Dale is een … Continue reading

## Do Mathematicians Discover or Create?

“Mathematical proof, according to the intuitionist, shouldn’t be based on the metaphysical assumption that the truth is in a sense ‘binary’ (that propositions must be either true or false).” 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

## Wonderland without Numbers?

Previously in ‘Numbers in Wonderland’ Alice followed the Friendly Minotaur as he walked deeper into the forest. Any other little girl would have been at least a bit frightened by the shape of the large beast and the shadows cast … Continue reading

## Alice and the Friendly Minotaur

Previously in ‘Numbers in Wonderland‘ ‘I wonder what would be left,’ Alice thought to herself, ‘if I take five apples and throw away the apples’. ‘What would it feel like to have five in my hands?’ I guess it would … Continue reading

## Numbers in Wonderland

After following the White Rabbit down the rabbit-hole and meeting all kinds of strange and wondrous animals, Alice finds herself at the mad tea party. Her three companions – the Hatter, the Dormouse and the March Hare – keep asking … Continue reading

## Bestaat Lege Ruimte?

Wat zou er gebeuren als uit de ruimte plotseling alle objecten zouden verdwijnen? Blijft er dan lege ruimte over, of is er helemaal niets meer? Met andere woorden: is de lege ruimte zelf ook een soort ‘object’?