Philosophy tool kit
Thinking like a philosopher need not be a strange and arcane art, if you get started with these tricks of the trade
Infinity and beyond
Georg Cantor showed that some infinities are bigger than others. Did he assault mathematical wisdom or corroborate it?
What is logic?
Is logical thinking a way to discover or to debate? The answers from philosophy and mathematics define human knowledge
Facts about the past and present are either true or false. Can knowledge of the future offer the same degree of certainty?
It is and it isn’t
Marcel Duchamp’s ‘Fountain’ is not just a radical kind of art. It’s a philosophical dialetheia: a contradiction that is true
Why is simpler better?
Ockham’s Razor says that simplicity is a scientific virtue, but justifying this philosophically is strangely elusive
Why things happen
Either cause and effect are the very glue of the cosmos, or they are a naive illusion due to insufficient math. But which?
The most exciting discovery in physics could come about thanks to telecoms satellites. Is a single theory of reality in sight?
Beyond true and false
Buddhist philosophy is full of contradictions. Now modern logic is learning why that might be a good thing
The mathematical world
Some philosophers think maths exists in a mysterious other realm. They’re wrong. Look around: you can see it