[ExI] Google LaMDA avheives enlightenment
Giovanni Santostasi
gsantostasi at gmail.com
Mon Jan 23 22:06:32 UTC 2023
Yes, I agree it is difficult sometime to know if ChatGPT uses its database
to answer questions or it arrives to the answers using deductive logic.
It can do logic but you need very careful constructed prompts. I did the 4
years old theory of mind test and he was able pass it but then it confessed
that he knew about the test. It is still pretty amazing tech, given it has
the number of free parameters of a rat brain. I'm intrigued by how well it
does logic given that it was not trained necessarily to do logical
reasoning.
I will probe more its math capabilities.
On Mon, Jan 23, 2023 at 2:02 PM spike jones via extropy-chat <
extropy-chat at lists.extropy.org> wrote:
>
>
> *.*> *On Behalf Of *Giovanni Santostasi via extropy-chat
> *Subject:* Re: [ExI] Google LaMDA avheives enlightenment
>
>
>
> ChatGPT has no problem with TaxiCab number:
>
> The smallest number that can be expressed as the sum of two cubes in three
> different ways is 1729. It can be expressed as the sum of the cubes of 12
> and 1 (12^3 + 1^3 = 1729), as well as the cubes of 9 and 10 (9^3 + 10^3 =
> 1729), and as the cubes of 1 and 12 (1^3 + 12^3 = 1729). This is known as
> the "taxicab number" and is the smallest such number that can be expressed
> in multiple ways…. Giovanni
>
>
>
> Ja Giovanni but of course there is plenty of online documentation for
> taxicab numbers because of the famous Ramanujan anecdote.
>
> To find a number which we can call triple taxis, we need a little more
> sophisticated software. I can offer 8 of them, but I urge you to spin up
> some code or search online for them first.
>
> This algorithm I derived can get us arbitrarily many triple taxis in a
> reasonable time (a few minutes (but the code is too large for the margin of
> this post.)
>
> If no one can find any triple taxis, either by code or by search, I will
> post the solutions on my blog, Math Geezer, which needs some content.
>
> spike
>
>
>
>
>
>
>
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