← All exercises
BAYESIAN EPISTEMOLOGY·10–15 MIN

BAYESIAN UPDATE

New evidence in. How much should the belief move? Probability done responsibly.

What this is

Bayes' theorem, informally: your degree of belief in something should be proportional to your prior belief times the likelihood of the new evidence given that belief. New evidence doesn't replace your prior; it updates it. The size of the update depends on how surprising the evidence is given each hypothesis.

The practical version doesn't require math. It requires honestly stating: what did you believe before? How likely is this new piece of evidence on each hypothesis you're entertaining? Then: how much should you move?

Steps

  1. 1.Pick a question with two or three candidate answers (hypotheses).
  2. 2.Before the new evidence: assign each hypothesis a rough probability that adds to 100%. E.g.: 'I was 60% sure my partner is upset about X, 30% about Y, 10% something else.'
  3. 3.Name the new evidence: what just happened?
  4. 4.For each hypothesis, ask: 'How likely is this evidence GIVEN this hypothesis?'
  5. 5.The hypothesis under which the evidence is more LIKELY gets boosted; the others shrink. Reassign probabilities.
  6. 6.Notice: did your beliefs move? By how much? Was the movement proportional to the evidence?
AFTER

Where in your life are you over-updating on weak evidence, or under-updating on strong evidence?

Reflections you write below are saved to your trajectory — Claude reads the prose and adds a small dimensional shift to your map, the same way it does for daily dilemmas and diary entries.

Sign in to save your reflection — it'll feed into your trajectory the same way dilemma and diary entries do.

Create an accountSign in
What to do next

Three doors lead onward.

  1. 01 · QUIZ
    The Inheritor
    Find your archetype — exercises hit differently when tuned to who you are.
    CONTINUE ▶
  2. 02 · NEXT EXERCISE
    Fallacy hunt
    Pick a real argument from the wild and find three reasoning errors in it.
    CONTINUE ▶
  3. 03 · DAILY
    The Crucible
    A philosophical action to actually do today. Tomorrow you report back.
    CONTINUE ▶