Proof, Probability & Calculus
Topic hub · see /courses for your specification · Maths & Computing · Foundations
Why Pythagoras' theorem is TRUE, how probability really works, and why the product rule is no accident.
What you'll be able to do
- Explain a real proof of Pythagoras' theorem
- Reason correctly about probability
- Explain why the product rule works (A-level)
The minds who lived it
- Isaac Newton — Lucasian Professor · President of the Royal Society
Teach it to Ember
On Incandio you prove understanding by teaching: explain each idea to Ember, the AI apprentice, until it truly understands.
- Why Pythagoras' Theorem Is True — Why is a² + b² = c² true for every right-angled triangle?
- How Probability Works — What does it really mean to say something has a probability?
- What Makes an Argument Valid? — What's the difference between a valid argument and a true conclusion?
- Why the Product Rule Works — Why does the product rule for differentiation work?
Open this learning path in Incandio →
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