What are the basic Mathematical Axioms?

The 5th question from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This time we look at the axioms for a mathematical structure called a 'field' - the most familiar example being the real numbers.

Full playlist:    • How many ping-pong balls would it tak...  

Q1: What is the probability I have the same PIN as someone else?
Q2: How long would it take to sink to the bottom of the ocean?
Q3: What is the gravitational field of a hollow Earth?
Q4: What is the best way to win at the board game Monopoly?
Q5: What are the most basic Mathematical Axioms?
Q6: How does Modular Arithmetic work?
Q7: What is the Gamma Function?
Q8: How many ping-pong balls would it take to lift the Titanic from the ocean floor?
Q9: What is the graph of x^x?
Q10: How can you show geometrically that Pi is between 3 and 4?

Produced by Dr Tom Crawford at the University of Oxford.

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