Stupid Questions Open Thread Round 4

lukeprog

This is for anyone in the LessWrong community who has made at least some effort to read the sequences and follow along, but is still confused on some point, and is perhaps feeling a bit embarrassed. Here, newbies and not-so-newbies are free to ask very basic but still relevant questions with the understanding that the answers are probably somewhere in the sequences. Similarly, LessWrong tends to presume a rather high threshold for understanding science and technology. Relevant questions in those areas are welcome as well. Anyone who chooses to respond should respectfully guide the questioner to a helpful resource, and questioners should be appropriately grateful. Good faith should be presumed on both sides, unless and until it is shown to be absent. If a questioner is not sure whether a question is relevant, ask it, and also ask if it's relevant.

Ask away!

Previously: round 1, round 2, round 3

From the original thread:

This is for anyone in the LessWrong community who has made at least some effort to read the sequences and follow along, but is still confused on some point, and is perhaps feeling a bit embarrassed. Here, newbies and not-so-newbies are free to ask very basic but still relevant questions with the understanding that the answers are probably somewhere in the sequences. Similarly, LessWrong tends to presume a rather high threshold for understanding science and technology. Relevant questions in those areas are welcome as well. Anyone who chooses to respond should respectfully guide the questioner to a helpful resource, and questioners should be appropriately grateful. Good faith should be presumed on both sides, unless and until it is shown to be absent. If a questioner is not sure whether a question is relevant, ask it, and also ask if it's relevant.

Ask away!

I can see how the money pump argument demonstrates the irrationality of an agent with cyclic preferences. Is there a more general argument that demonstrates the irrationality of an agent with intransitive preferences of any kind (not merely one with cyclic preferences)?

Just in case - synchronising the definitions.

I usually consider something transitive if "X≥Y, Y≥Z then X≥Z" holds for all X,Y,Z.

If this holds, preferences are transitive. Otherwise, there are some X,Y,Z: X≥Y, Y≥Z, Z>X. I would call that cyclical.

9DanielLC14y

I don't understand what you mean. Can you give me an example of preferences that are intransitive but not cyclic?