TEACH
Episode 3 Discussion Worksheet
A clean, printable worksheet to guide a class or a solo listen through the Episode 3 conversation.
- Type
- Worksheet
- Difficulty
- All levels
- Length
- Printable worksheet
This worksheet works for a classroom, a club, or a single curious listener. Print it, or answer as you go. It moves through three stages, before, during, and after the episode, and ends with room to think further.
KEY CONCEPTS
- Prime numbers
- Mathematics and physical reality
- AI and mathematical reasoning
- Digital distraction
- Solitude and deep thinking
- Mathematics versus mathematical notation
BEFORE YOU LISTEN
Answer these before pressing play.
What do you already know about prime numbers, and where did you learn it?
Do you think mathematics is something humans discover or something we invent? Why?
Where do you do your best thinking, and what usually interrupts it?
WHILE YOU LISTEN
Keep an ear out for each of these.
A moment where the distribution of prime numbers is described as still mysterious.
How Professor Murty describes the relationship between mathematics and the physical world.
What he says about using AI as a tool, and where its answers can go wrong.
The distinction he draws between mathematical truth and mathematical notation.
Anything he says about attention, distraction, or setting aside time to think.
AFTER YOU LISTEN
Check your comprehension.
In your own words, why are prime numbers considered the building blocks of the integers?
What is one reason an AI's mathematical answer still needs to be verified?
Why might someone argue that mathematics is 'discovered' rather than 'invented'?
What is the difference between a mathematical truth and the notation we use to write it?
What connection does the episode draw between deep thinking and doing good mathematical work?
THINK DEEPER
Open-ended. There is no single right answer.
If mathematics describes the universe so well, what does that suggest about the universe, or about mathematics?
Should there be limits on how much we rely on AI for reasoning we cannot check ourselves? Where would you draw the line?
ONE QUESTION I STILL HAVE
Write the question this episode left you with.