Making Probability Mathematical

The video explores the concept of probability, tracing its historical roots and development. It discusses the etymology of 'probability', historical uses of randomness, and the contributions of Blaise Pascal and Pierre de Fermat. The video also covers Pascal's Wager, Andrei Kolmogorov's axiomatic approach to probability, and the role of measure theory. It concludes with applications of probability in philosophical questions and encourages viewer engagement.

What is the origin of the word 'probability' and how has its meaning evolved over time?

Describe the significance of the correspondence between Blaise Pascal and Pierre de Fermat in the context of probability theory.

Explain Pascal's wager and its implications regarding belief and probability.

How did Kolmogorov axiomatize probability, and what role does measure theory play in this?

What are the two flavors of probability mentioned in the text, and how do they differ?

What is the paradox of having a probability of 0 for hitting a specific point on a dartboard?

Discuss the concept of random variables and their significance in probability theory.

How can the concept of measure be applied to understand probabilities in different scenarios?

In what ways can probability theory be applied to real-life situations, as mentioned in the text?

What connections exist between probability theory and philosophical inquiries, according to the text?