# Games, Puzzles, Paradox and Proof

- Institution: Gresham College
- Speaker: Professor Sarah Hart
- Year: 2023
- Level: For everyone
- Language: English
- Subjects: Mathematics
- Source: [Gresham College](https://www.gresham.ac.uk/watch-now/series/games-puzzles)
- Licence: [Educational use (Gresham College's terms)](https://www.gresham.ac.uk/terms-and-conditions)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Why are there chess Grandmasters, but not Grandmasters of noughts and crosses (otherwise known as tic-tac-toe)? It is because chess is “harder” – but what do we really mean by that? Answering that question leads us to develop the idea of mathematical complexity, which is a measure of how ‘big’ a game is. We’ll look at the complexity of popular games, and ask: what is the hardest game of all time?

## Lectures

1. [The Maths of Board Games](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/e5037fb69ce9) (YouTube)
2. [The Maths of Sudoku and Latin Squares](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/7dc8ec8c0be7) (YouTube)
3. [Mathematical Puzzles and Paradoxes](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/cca005014e5b) (YouTube)
4. [The Mathematics of Coincidence](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/9e5419a255d4) (YouTube)
5. [How to Prove 1=0, And Other Maths Illusions](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/6bf8078ebbdc) (YouTube)
6. [A Mathematician’s View of Proof](https://invisiblenetwork.ai/learn/gresham/series-games-puzzles/2ce3ca503a0a) (YouTube)