Category Archives: Philosophy of Mathematics

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

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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

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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

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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’?

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How Natural Is The Natural Logarithm?

Why is the natural logarithm called ‘natural’? Continue reading

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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

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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

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