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Cake day: September 16th, 2023

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  • I find it really useful to shut down discussions where no one is budging and are just overall a big waste of time. As an example, if I’ve been trying to convince someone that the earth is round for 10 minutes and they clearly don’t have any interest in changing their view, I’ll just spare me the trouble and say it. If they still refuse to let it go, I start blindly agreeing with them, that usually does the trick.









  • It is true that newer models that have ingested more training data are better at this kind of thing, but it is not because they are using logic, but because they are copying and following examples they already learnt, if that makes sense. I got the question from a test passed to kids ages 12-13, so arguably it wasn’t really that challenging. If you want to you can try out the more advanced problems from the same place I got it from, although it’s in Spanish, so pass it through Google Translate first.

    If you turn to programmers they’ll tell you that AI usually makes mistakes no human would normally make such as inventing variables that don’t exist and that kind of thing. It is because in the examples it learnt from they have mostly existed.

    What I mean to say is, if you give an AI a problem that is not in its training data and can only be solved using logic (so, you can’t apply what is used in other problems) it will be incapable of solving it. The Internet is so vast that almost everything has been written about so AIs will seem to know how to solve any problem, but it is no more than an illusion.

    HOWEVER, if we manage to integrate AIs and normal, mathematical computation really closely so that they function as one, that problem might be solved. It will probably also have its caveats, though.


  • Logic. As an example, non textbook math questions. I asked ChatGPT 3.5 this:

    Four friends (A, B, C and D) are standing in line. How many combinations are possible given that A and C cannot be next to eachother?

    It answered 20, the correct answer is 12.

    All possible conbinations

    abcd,abdc,adbc,adcb, cbad,cbda,cdba,cdab, bcda,badc, dcba,dabc

    Its answer

    To solve this, let’s first consider the total number of combinations when there are no restrictions. Since there are 4 friends, there are 4! (4 factorial) ways to arrange them, which equals 24 combinations.

    Now, let’s count the number of combinations where A and C are next to each other. Since A and C can be arranged in 2 ways, and for each arrangement, the other two friends (B and D) can be arranged in 2! ways, the total number of combinations where A and C are next to each other is 2 * 2! = 4.

    So, the number of combinations where A and C cannot be next to each other is the total number of combinations minus the number of combinations where A and C are next to each other:

    24 - 4 = 20 combinations.