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Subjective (Bayesian) Probability

tonychanyt

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Step 1:

When there is no clear binary (yes or no) answer to an issue, I automatically resort to probabilistic reasoning by weighing the evidence. This process is dynamic. As I learn more evidence, my opinion may change dynamically. I almost never refute anything 100%; I weigh every piece of evidence. E.g., What is the probability that the Shroud of Turin shows the image of Jesus?.

Let proposition P1 = The Shroud of Turin shows the image of Jesus.
P2 = The Shroud of Turin does not show the image of Jesus.

Between 0 and 10, how much weight do I put on each of the above propositions?

For P1, I assign 7; P2, 3.

Once I have assigned a weight to a proposition, how can anyone tell that I didn't just do it arbitrarily or whimsically?

Luckily, there is a mathematically sound answer to this question.

That's Step 2:

After a probability (or weight) is assigned, there is a scientific way to assess one's weighting scheme.

The strength of my subjective beliefs can be measured objectively as the process of wagering based on probabilities/weights. My personal belief system should be coherent even if it is subjective. In general, you can use the Bayes rule to make any decision optimally in life. In practice, the better you estimate the three input probabilities, the better your decision.

See
 
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d taylor

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I studied statistics but my expertise is in AI.
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I have no idea really what that is, besides of just hearing people talking about it. But again computers are only used by me to come here and check in throughout the week and to purchase products that i can not find in my small town.
 
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tonychanyt

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I have no idea really what that is, besides of just hearing people talking about it. But again computers are only used by me to come here and check in throughout the week and to purchase products that i can not find in my small town.
Try https://chat.openai.com/ and see
 
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Soyeong

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Please show your work in accordance with the mathematic formulas that you used to arrive at your opinion of 2 and 8.
 
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tonychanyt

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Please show your work in accordance with the mathematic formulas that you used to arrive at your opinion of 2 and 8.
The weights that I arrived at were not directly from any mathematic formulas. They were subjective conclusions. However, others can use Bayes formulas to derive them in their personal way. I actually did at one time but didn't bother to continue the process. It guided my weight assignment but it is not absolutely necessary.

I know you have more questions Please follow up
 
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