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I quiz ChatGPT about math

billwadge.com

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Re: I quiz ChatGPT about math

#21
post #12

Here's a very easy middle school competition problem - https://imgur.com/a/YdFSBVY It repeatedly got the answer wrong. I engaged in a long conversation with it (too long to post) where I tried to convince it that its answer was wrong, but it became quite rude at a certain point & alleged I was trying to trick it or something (?!) so I just gave up. Unfortunately, I was doing the whole exercise in front of my 10 year…

You should basically be thinking of chatGPT as a personal Wikipedia. It has the collective knowledge of the internet. It can still be wrong about fact based questions, but is a good starting point. It’s not effective at doing math because that’s not what it was designed to do.

I think that is significantly underselling wikipedia's reliability in practise.

Re: I quiz ChatGPT about math

#22
My favorite ChatGPT answer about math is:

Me: What is the 19th digit of pi

ChatGPT: The value of pi is approximately 3.14159265359, and the 19th digit is 5. However, it is important to note that the digits of pi continue infinitely, so this is only an approximation of the 19th digit.

Re: I quiz ChatGPT about math

#23
post #15

I was actually very impressed with some math questions it was able to answer for me: S: If flabb means three, snabb means four, and whabb mean five, what is flabb plus whabb? If flabb means three, snabb means four, and whabb means five, then flabb plus whabb would be equal to three plus five, or eight. In this made-up numbering system, the words “flabb,” “snabb,” and “whabb” represent the numbers three, four, and fiv…

That is very cool, and surprising to me given I was also initially underwhelmed.

One nitpick though: in the second question, although the explanation itself is clean, there appear to be seven b’s in its representation of the number six.

Re: I quiz ChatGPT about math

#24

Earlier quoted context omitted.

You should basically be thinking of chatGPT as a personal Wikipedia. It has the collective knowledge of the internet. It can still be wrong about fact based questions, but is a good starting point. It’s not effective at doing math because that’s not what it was designed to do.

ChatGPT definitely way more things than Wikipedia does.

But does it accidentally words as much?

Re: I quiz ChatGPT about math

#25
I tried with something that was not so obviously in the training set, the response is terrible

What's the measure of the set of real numbers whose square is between 1 and 4.

The set of real numbers whose square is between 1 and 4 is known as the square root of the interval [1, 4]. It is represented by the notation √[1, 4].

To find the measure of this set, we can take the square root of each endpoint of the interval and then subtract the smaller value from the larger value. In this case, the measure of the set is √4 - √1 = 2 - 1 = 1.

Alternatively, we can rewrite the set as the union of two intervals: the set of real numbers whose square is between 1 and 2, and the set of real numbers whose square is between 2 and 4. The measure of the first interval is √2 - √1 = 1, and the measure of the second interval is √4 - √2 = 1. Therefore, the measure of the set of real numbers whose square is between 1 and 4 is 1 + 1 = 2.

It's important to note that the set of real numbers whose square is between 1 and 4 is not the same as the set of real numbers between 1 and 4. The set of real numbers whose square is between 1 and 4 consists only of the positive real numbers 1 and 2, while the set of real numbers between 1 and 4 includes all real numbers between 1 and 4, including negative numbers

Re: I quiz ChatGPT about math

#26
post #21

Earlier quoted context omitted.

You should basically be thinking of chatGPT as a personal Wikipedia. It has the collective knowledge of the internet. It can still be wrong about fact based questions, but is a good starting point. It’s not effective at doing math because that’s not what it was designed to do.

I think that is significantly underselling wikipedia's reliability in practise.

The point is that Wikipedia is infinitely more fallible than a mathematical equation.

Re: I quiz ChatGPT about math

#27

My favorite ChatGPT answer about math is: Me: What is the 19th digit of pi ChatGPT: The value of pi is approximately 3.14159265359, and the 19th digit is 5. However, it is important to note that the digits of pi continue infinitely, so this is only an approximation of the 19th digit.

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Re: I quiz ChatGPT about math

#28

Earlier quoted context omitted.

Prompt: > is 1023^2 even or odd? Response: > 1023 squared is even because it is equal to 1,046,529, which is an even number. To determine if a number is even or odd, you can check whether it is divisible by 2. If it is divisible by 2, it is even. If it is not divisible by 2, it is odd. > In general, any number that is a perfect square will be even if the number being squared is odd, and it will be odd if the number b…

Interesting, I got: > 1023 squared is 1048129, which is an odd number. To determine whether a number is even or odd, you can check whether it is divisible by 2. If it is, it is an even number. If it is not, it is an odd number. In this case, 1048129 is not divisible by 2, so it is an odd number.

[deleted]

Re: I quiz ChatGPT about math

#29
If ChatGPT is what we can expect from AI I’m quite afraid. It seems to be usually correct but often spectacularly and confidently wrong. I hope we never give this technology decision making power.
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