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The Mathematical Way of Understanding the World

My plan. Logic: the traditional model for thinking, its pedigree goes back to AristotleStatistical inference: humble roots in gambling and actuarial estimatesBut statistics grows: from Ceres to speech recognition and graphical modelsCan it work in the human brain? . Plato on logic and pure dedu

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The Mathematical Way of Understanding the World

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    1. The Mathematical Way of Understanding the World

    2. My plan

    3. Plato on logic and pure deduction:

    4. Here is pure deductive logic today: (The Boston Driver’s Handbook)

    5. The ultimate in reducing the world to logic: Principia Mathematica (Russell, Whitehead)

    6. The struggle to adapt logic to real thought

    7. Here is an example of real-life reasoning (Judea Pearl)

    8. The origins of statistics in gambling and counting corpses

    9. Statistics becomes respectable

    10. This is how we humans think – what you perceive is not what you hear:

    11. Resistance: fingerprints and the FBI

    12. How computers use statistical reasoning I: speech recognition and HMM’s

    13. How computers use statistical reasoning II: a graph of ‘random variables’

    14. How computers use statistical reasoning III: ‘Monte Carlo’ algorithms (Metropolis)

    15. How computers use statistical reasoning IV: bootstrap particle filtering

    16. How computers use statistical reasoning V: minimum description length

    17. Real challenges remain! Why is this old man recognizable from a cursory glance?

    18. Deeper reasons why vision is hard

    19. Does the brain work with graphs?

    20. Does the brain work digitally? The ‘standard model’ (McCulloch and Pitts)

    21. Does the brain work digitally? New evidence

    22. Does the brain work with specialists in cubicles?

    23. Does the brain link ideas on the fly?

    24. How does the brain keep multiple ideas alive?

    25. How does the brain have enough time?

    26. Tune in again in 50 years!

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