this post was submitted on 14 Apr 2024
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Logic. As an example, non textbook math questions. I asked ChatGPT 3.5 this:
It answered 20, the correct answer is 12.
All possible conbinations
abcd,abdc,adbc,adcb, cbad,cbda,cdba,cdab, bcda,badc, dcba,dabcIts 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.
The difference between 3.5 and 4 is substantial. Here is what 4 says
Total Combinations: First, calculate the total number of ways in which four people can be arranged in a line. This can be calculated by (4!) (4 factorial), since there are 4 slots to fill, each choice reducing the number of available choices by one for the next slot. [ 4! = 4 \times 3 \times 2 \times 1 = 24 ]
Unwanted Combinations (Where A and C are next to each other):
Subtracting Unwanted Combinations: Subtract the number of unwanted combinations (where A and C are next to each other) from the total number of combinations: [ 24 - 12 = 12 ]
Thus, there are 12 combinations where A and C are not next to each other.
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.
I hear you. You make very good points.
I'm tempted to argue that many humans aren't generally intelligent based on your definition of requiring original thought/solving things they haven't been told/trained on, but we don't have to go there. Lol
Can you expand on your last paragraph? You're saying if the model was trained on more theory and less examples of solved problems it might be improved?