Переходьте в офлайн за допомогою програми Player FM !
John A. Paulos — Avoiding Innumeracy (EP. 219)
Fetch error
Hmmm there seems to be a problem fetching this series right now. Last successful fetch was on September 02, 2024 04:02 ()
What now? This series will be checked again in the next day. If you believe it should be working, please verify the publisher's feed link below is valid and includes actual episode links. You can contact support to request the feed be immediately fetched.
Manage episode 423952617 series 3253011
Key Takeaways
- “Uncertainty is the only certainty.” – John Paulos
- People use terms like millions, billions, and trillions as if they are the same thing; when in reality, these are vastly different amounts!
- “We live in a probabilistic world, and yet we remain deterministic thinkers.” – Jim O’Shaughnessy
- The Law of Large Numbers is a fundamental principle in probability and statistics that states that as the size of a sample increases, the average of the sample becomes closer to the expected value
- Apophenia: The phenomenon of seeing patterns where none exist as a form of cognitive bias or psychological tendency
- Humans are excellent pattern-recognition machines; but sometimes, we wrongly attribute patterns to random data that can lead us astray
- The human operating system is more driven by the emotional centers of the brain than the rational centers of the brain
- There is a tension between objective likelihood (probability) and subjective belief or reasonableness (plausibility)
- The Prisoner’s Dilemma is a scenario in game theory where two individuals acting in their self-interest end up with a worse outcome than if they had cooperated
- Cognitive foibles such as confirmation bias, the anchoring effect, and negativity bias should be taught in mathematical courses
- Dunning-Kruger Effect: The phenomenon where people with low ability at a task overestimate their ability, while those with high ability underestimate their competence
- The concept of “nudging” involves subtly influencing people’s decisions by altering the presentation of choices without restricting options or significantly changing incentives
- It is wise to develop a particular skepticism and wariness about the uncertainties of life
Read the full notes @ podcastnotes.org
Professor, Mathematician and Writer John A. Paulos joins the show to discuss math education, the power of puzzles, cognitive biases, and MUCH more!
Important Links:
Show Notes:
- Why Do People Hate Math?
- The Power of Posing Problems with Counterintuitive or Shocking Results
- Using Everyday Examples to Understand Math Concepts
- Systems Designed to Take Advantage of Innumeracy
- People’s Ignorance of Randomness and Random Samples
- The Strange Power of Anchoring Bias
- Tradeoffs between Probability and Plausibility
- The Prisoner’s Dilemma & Math Anxiety
- Improving the Monty Hall Problem
- Designing an Ideal Intro Math Course
- The Big Brother Aspect of Nudging
- John as Emperor of the World
- MORE!
Books Mentioned:
- Innumeracy - Mathematical Illiteracy and Its Consequences; by J.A. Paulos
- A Mathematician Plays the Stock Market; by J.A. Paulos
- A Mathematician Reads the Newspaper; by J.A. Paulos
- Statistics; by D.A. Freedman, R. Pisani, and R.A. Purves
- Thinking Fast and Slow; by Daniel Kahneman
33 епізодів
Fetch error
Hmmm there seems to be a problem fetching this series right now. Last successful fetch was on September 02, 2024 04:02 ()
What now? This series will be checked again in the next day. If you believe it should be working, please verify the publisher's feed link below is valid and includes actual episode links. You can contact support to request the feed be immediately fetched.
Manage episode 423952617 series 3253011
Key Takeaways
- “Uncertainty is the only certainty.” – John Paulos
- People use terms like millions, billions, and trillions as if they are the same thing; when in reality, these are vastly different amounts!
- “We live in a probabilistic world, and yet we remain deterministic thinkers.” – Jim O’Shaughnessy
- The Law of Large Numbers is a fundamental principle in probability and statistics that states that as the size of a sample increases, the average of the sample becomes closer to the expected value
- Apophenia: The phenomenon of seeing patterns where none exist as a form of cognitive bias or psychological tendency
- Humans are excellent pattern-recognition machines; but sometimes, we wrongly attribute patterns to random data that can lead us astray
- The human operating system is more driven by the emotional centers of the brain than the rational centers of the brain
- There is a tension between objective likelihood (probability) and subjective belief or reasonableness (plausibility)
- The Prisoner’s Dilemma is a scenario in game theory where two individuals acting in their self-interest end up with a worse outcome than if they had cooperated
- Cognitive foibles such as confirmation bias, the anchoring effect, and negativity bias should be taught in mathematical courses
- Dunning-Kruger Effect: The phenomenon where people with low ability at a task overestimate their ability, while those with high ability underestimate their competence
- The concept of “nudging” involves subtly influencing people’s decisions by altering the presentation of choices without restricting options or significantly changing incentives
- It is wise to develop a particular skepticism and wariness about the uncertainties of life
Read the full notes @ podcastnotes.org
Professor, Mathematician and Writer John A. Paulos joins the show to discuss math education, the power of puzzles, cognitive biases, and MUCH more!
Important Links:
Show Notes:
- Why Do People Hate Math?
- The Power of Posing Problems with Counterintuitive or Shocking Results
- Using Everyday Examples to Understand Math Concepts
- Systems Designed to Take Advantage of Innumeracy
- People’s Ignorance of Randomness and Random Samples
- The Strange Power of Anchoring Bias
- Tradeoffs between Probability and Plausibility
- The Prisoner’s Dilemma & Math Anxiety
- Improving the Monty Hall Problem
- Designing an Ideal Intro Math Course
- The Big Brother Aspect of Nudging
- John as Emperor of the World
- MORE!
Books Mentioned:
- Innumeracy - Mathematical Illiteracy and Its Consequences; by J.A. Paulos
- A Mathematician Plays the Stock Market; by J.A. Paulos
- A Mathematician Reads the Newspaper; by J.A. Paulos
- Statistics; by D.A. Freedman, R. Pisani, and R.A. Purves
- Thinking Fast and Slow; by Daniel Kahneman
33 епізодів
Minden epizód
×Ласкаво просимо до Player FM!
Player FM сканує Інтернет для отримання високоякісних подкастів, щоб ви могли насолоджуватися ними зараз. Це найкращий додаток для подкастів, який працює на Android, iPhone і веб-сторінці. Реєстрація для синхронізації підписок між пристроями.