The hottest Probability Theory Substack posts right now

The free mathematical course by Zaiku Group is attracting professionals from diverse backgrounds, aiming to equip them with advanced mathematical knowledge for fields like quantum algorithms.
The power of mathematical abstraction was showcased by Zaiku Group's co-founder, Bambordé Baldé, who reconstructed the notion of probability measure using basic set-theoretic concepts.
The course covers foundational topics over 12 weeks, with plans for fireside chats involving industry and academia experts to provide guidance and answer questions from learners.

Probability is a number that quantitatively measures the likelihood of events, always between 0 and 1.
Probability is a well-defined mathematical concept, separate from how probabilities are assigned.
The frequentist and Bayesian schools of thought differ in how they assign probabilities, but each has its own advantages in different situations.

The Normal distribution formula is intimidating but actually represents real-life concepts like coin tosses and urns.
The Normal distribution bell shape is determined by parameters like mean and standard deviation: mu and sigma.
The Normal distribution is a limiting case of the Binomial distribution, simplifying probability calculations for large numbers of independent trials.

Probabilistic rationality may not be sufficient for understanding the world, as it has its limitations, especially in scenarios unlike a casino.
The example of planning a picnic given by Leonard Savage illustrates the limitations of probability theory in practical, real-life situations.
Some situations, like planning a picnic, can't be perfectly navigated using probability theory, highlighting the need for broader epistemological approaches.

Probability theory in rationalism challenges the idea of certainty, acknowledging its impossibility.
Probabilistic rationalism has weaknesses that are similar to those of logical rationalism.
The Bayesian Elimination Decree of 1789 is discussed in David Chapman's post.

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Distinguishing freedom from randomness in human acts challenges the moral responsibility of individuals.
Using probability theory to analyze free choices is problematic, as probabilities cannot be assigned to unique, free choices.
The concept of resetting the universe to examine free choices showcases the difference between chance occurrences and true freedom.