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Category Archives: Intuitive Mathematics
Confidence and Credibility
Three days ago I got slightly drunk with a few friends (two of which were mentioned in a recent post) and one of them and I were trying to explain to the other what the difference between confidence and credible intervals were. Since … Continue reading
The Metaphor of the Hills
Imagine that one day you’re standing on a very foggy field of grassy hills. It’s so foggy you can’t see even an inch in front of your nose, and what’s worse, you have no GPS or 4G reception. You decide to … Continue reading
Posted in Computer Science, Intuitive Mathematics, Mathematics, Philosophy, Rationality
Tagged fitness landscape, mathematics, optimisation
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How to prove stuff
A while ago, I wrote up a post that explained what a mathematical proof is. In short, a mathematical proof is a bunch of sentences that follow from other sentences. And when mathematicians have been trying to prove stuff for hundreds … Continue reading
Posted in Intuitive Mathematics, Logic, Mathematics
Tagged logic, mathema, mathematical logic, mathematics
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Axioms, logical pinpointing, natural numbers, and mathematical realism
One of the greatest problems people who are getting into hardcore maths face, one of the blocks, is how arbitrary the axioms look. Axioms are the fundamental truths of a mathematical system, the things we do not prove. Whenever people are introduced … Continue reading
Posted in Intuitive Mathematics, Logic, Mathematics, Number Theory
Tagged arithmetic, logic, mathema, maths, number theory
6 Comments
What is a mathematical proof?
The answer is… much simpler than one might think. A mathematical proof is just a set of steps that only produce true statements given the premises. “Huh?” Well, when you want to prove something mathematically, you start with a few … Continue reading
Posted in Intuitive Mathematics, Mathematics, Probability Theory
Tagged intuitive maths, mathema, mathematics, probability theory
4 Comments