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Category Archives: Philosophy of Mathematics
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
Posted in Epistemology, Philosophy of Mathematics
2 Comments
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
Posted in Epistemology, Philosophy of Mathematics, Philosophy of Physics
Tagged feiten, kennis, waarheid, werkelijkheid, wetenschap
4 Comments
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
Posted in Philosophy of Mathematics
2 Comments
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
Posted in Philosophy of Mathematics
Tagged formalism, game, intuitionism, language, mathematics, philosophy, physics, platonism
5 Comments
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
Posted in Philosophy of Mathematics, Philosophy of Physics, Probability
Tagged Kant, mathematics, physics, Probability
5 Comments
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 rabbithole 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’?
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
Posted in Philosophy of Mathematics, Philosophy of Physics
Tagged logarithm, logic, mathematics, natural, physics, statistics
2 Comments