On the unreliable typist: I feel ChatGPT mischaracterized the possible positions of letters (or I'm drastically misunderstanding the rules. In steps 1 ^2, it said 'S' can only be in the last 2 positions. But 'SOLYMPIAD' appears to fit the rules ('S' is way early, and each other letter is 1 late). It may have gotten the right answer, but it's argument was flawed.
On the polygon: Step 1 is false. Convex with equal sides does not imply the vertices lie on a circle. A rhombus is convex and all its sides are equal, but the vertices are not on a circle. This alone invalidates all the rest of the proof, which relies on the circle. Also, in step 4 part 'n=5', the 3 diagonals do not form an equilateral triangle. Nor would it "ensure … a regular polygon" if they did.
The important thing to remember is that LLM "AI" isn't reasoning at all. It's just stringing a series of tokens together based on how often it has seen those words strung together before, plus a bit of randomness.
Comparing Gemini vs chat GTP for the time being Gemini is worse than chat GPT. However, Gemini doesnt limit the amount of questions you may do but chat gpt does. That would be a decisive factor in the dominance of Gemini vs Chat GPT, depending upon how many of us start teaching Gemini or Chat GTP to do Maths properly. ¿Do you want to be redundant? That is the main question!
Whenever I am asking chatgpt for help with math questions, I almost always notice something went wrong. So I guess a tool made for helping me get the question right, made me help myself in knowing when things are wrong instead :3 (this makes sense in my head okay)
@2:41 There seems to be a problem in your definition of the problem. It is said a letter can appear at most one position late, but any position early as you wish. So the third letter Y can also appear in first position, am I wrong ? Like MATHS can be typed TMASH where you see 3rd letter appears in 1st position …
Hey Dr Crawford – thank you for your video and insight. It seems that you are using the basic GPT4 model to solve these BMO questions. There is a different model ChatGPT provides called the o1-preview, which is specifically designed for complex and advanced reasoning and solving difficult mathematical questions like this. If you use the o1-preview model, it would take way longer time (sometimes even more than a minute) before giving you a response, and it thinks in a way deeper way than the model you have used here. With that model, I've tried feeding it questions 5 and 6 on the BMO1 paper, and it could solve them perfectly.
Therefore I would encourage you to try again with that specific model. I do believe that you have to have ChatGPT subscription to access that model, but I think that they are going to release a free version of that model. Anyways, thanks you so much!
P.S. It would have been better if you simply uploaded a screenshot of the question as diagrams could have been included, and ChatGPT would be able to read the question from the image (probably better than it being retyped with a different syntax)
The second problem reminds me of euclids alogithm and most notably the chinese usage of such method. If you got 2 vessels of volunes a And b the lowest volume which you can measure is the greatest common divisor of a and b.
By using this logic and the fact that any ai and ai-1 are some linear combinations of a0 and a1 it folowsthat gdc(ai,ai-1)=gcd(a0,a1) henceif they are consecutive they both have gcd of 1.
Question 1, step 2, doesn't "SOLYMPIAD" fit the constraints? Same with "OLSYMPIAD"? At least some cases with a letter appearing at least 2 slots early seem omitted. D should not be restricted to 7 or later and S should be allowed before 8, for instance.
I use it to study some theoretical stuff, it’s good at explaining theorems and definitions and producing good examples. It can even prove things pretty well, because it’s not actually doing the proof but just taking it from its database and pasting it to you. Of course it makes mistakes now and then, but they’re so dumb they’re easy to catch. And by “using it” i mean: as i’m studying from my notes or books i ask from time to time chatgpt things in order to understand the mind bogglingly abstract stuff i have to understand. Overall it has proven to be a fairly useful tool to learn math, at least for me, as i’m pursuing my bachelor degree in math.
As a late calculus student, chat gpt has helped me hugely with my homework. However I realize the limitations and much beyond intermediate mathematics I think it really struggles.
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On the unreliable typist: I feel ChatGPT mischaracterized the possible positions of letters (or I'm drastically misunderstanding the rules. In steps 1 ^2, it said 'S' can only be in the last 2 positions. But 'SOLYMPIAD' appears to fit the rules ('S' is way early, and each other letter is 1 late). It may have gotten the right answer, but it's argument was flawed.
On the polygon: Step 1 is false. Convex with equal sides does not imply the vertices lie on a circle. A rhombus is convex and all its sides are equal, but the vertices are not on a circle. This alone invalidates all the rest of the proof, which relies on the circle. Also, in step 4 part 'n=5', the 3 diagonals do not form an equilateral triangle. Nor would it "ensure … a regular polygon" if they did.
The important thing to remember is that LLM "AI" isn't reasoning at all. It's just stringing a series of tokens together based on how often it has seen those words strung together before, plus a bit of randomness.
Yeah not test o1
You came to my school
Its clearly said that chatgpt can make mistake just like us humans
Chat-GPT can barely solve some basic Algebra 1 questions
Tom is not locked in. Every uni maths student knows if you take a picture of the question it will always give you the right answer
Our jobs are safe, ChatGPT can’t do maths at all.
Comparing Gemini vs chat GTP
for the time being Gemini is worse than chat GPT. However, Gemini doesnt limit the amount of questions you may do but chat gpt does. That would be a decisive factor in the dominance of Gemini vs Chat GPT, depending upon how many of us start teaching Gemini or Chat GTP to do Maths properly. ¿Do you want to be redundant? That is the main question!
you have something on your lips
Thanks for coming to my school (I was one of the year 10s), the presentation was very interesting!
I have this test coming up on the 20th, these questions are brutal.
Whenever I am asking chatgpt for help with math questions, I almost always notice something went wrong. So I guess a tool made for helping me get the question right, made me help myself in knowing when things are wrong instead :3 (this makes sense in my head okay)
@2:41 There seems to be a problem in your definition of the problem.
It is said a letter can appear at most one position late, but any position early as you wish.
So the third letter Y can also appear in first position, am I wrong ?
Like MATHS can be typed TMASH where you see 3rd letter appears in 1st position …
Hey Dr Crawford – thank you for your video and insight. It seems that you are using the basic GPT4 model to solve these BMO questions. There is a different model ChatGPT provides called the o1-preview, which is specifically designed for complex and advanced reasoning and solving difficult mathematical questions like this. If you use the o1-preview model, it would take way longer time (sometimes even more than a minute) before giving you a response, and it thinks in a way deeper way than the model you have used here. With that model, I've tried feeding it questions 5 and 6 on the BMO1 paper, and it could solve them perfectly.
Therefore I would encourage you to try again with that specific model. I do believe that you have to have ChatGPT subscription to access that model, but I think that they are going to release a free version of that model. Anyways, thanks you so much!
P.S. It would have been better if you simply uploaded a screenshot of the question as diagrams could have been included, and ChatGPT would be able to read the question from the image (probably better than it being retyped with a different syntax)
The second problem reminds me of euclids alogithm and most notably the chinese usage of such method. If you got 2 vessels of volunes a And b the lowest volume which you can measure is the greatest common divisor of a and b.
By using this logic and the fact that any ai and ai-1 are some linear combinations of a0 and a1 it folowsthat gdc(ai,ai-1)=gcd(a0,a1) henceif they are consecutive they both have gcd of 1.
By the way the chatgpt you are using will not be the best version for maths use data analysis
Question 1, step 2, doesn't "SOLYMPIAD" fit the constraints? Same with "OLSYMPIAD"? At least some cases with a letter appearing at least 2 slots early seem omitted. D should not be restricted to 7 or later and S should be allowed before 8, for instance.
Ed Sheeran as a crack head
See if chatgpt can verify if 1×1=2😅
🤔
I use it to study some theoretical stuff, it’s good at explaining theorems and definitions and producing good examples. It can even prove things pretty well, because it’s not actually doing the proof but just taking it from its database and pasting it to you. Of course it makes mistakes now and then, but they’re so dumb they’re easy to catch. And by “using it” i mean: as i’m studying from my notes or books i ask from time to time chatgpt things in order to understand the mind bogglingly abstract stuff i have to understand. Overall it has proven to be a fairly useful tool to learn math, at least for me, as i’m pursuing my bachelor degree in math.
Try Grok
Hi, please try Singapore's H2 math and H2 further math A level papers
please teacher tom it's possible to do a master in oxford university with bachelor maths in belgium
Try using GPT o1 preview. Unlike GPT 4o, it excels at STEM questions due to its "advance reasoning"
Math so hard even chatgpt ain't mathing
or or or, you could change the expected answer to match that machine's gibberish – problem solved.
Could you solve the third problem without a graph? (I ask myself as a non-mathematician)
You didin't use the newest model 1o, which is significantly better in every way at mathematics.
u seemed to be using chat gpt 4. not chat gpt oo1 preview which has to be used for math and coding as it is much better.
As a late calculus student, chat gpt has helped me hugely with my homework. However I realize the limitations and much beyond intermediate mathematics I think it really struggles.
Ig chat gpt is created by illuminati
So that satan can take over the world
Can you repeat the exercise with o1-preview?
That image had me dying for 2 minutes straight😂😂
I use ChatCPT all the time. You have to correct it. Those questions are too complex so its msking too mwny calculations at the one time
ChatGPT has, on multiple occasions, told me that odd numbers were even and vice versa
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