Do not let ChatGPT to do your maths homework ...

Perhaps this isn’t the sort of homework that anyone is going to get, but I thought I would just check to see how good our incoming overlords are at certain things:

 

Me:

What is half a Planck mass per Planck time in kg/s?

 

OpenAI site version of ChatGPT-3

To convert "half a Planck mass per Planck time" to kg/s, we can use the definition of the Planck time and Planck mass:

 

Planck time: tP ≈ 5.39 × 10^-44 s

Planck mass: mP ≈ 2.176 × 10^-8 kg

"Half a Planck mass per Planck time" can be expressed mathematically as (1/2) mP/tP. To convert this to kg/s, we can simply divide by the Planck time:

 

(1/2) mP/tP = (1/2) mP / (tP/s) = (1/2) mP / (1 s / 5.39 × 10^44 tP)

 

= (1/2) mP × (5.39 × 10^44 tP) / s ≈ 1.019 × 10^35 kg/s

 

Therefore, "half a Planck mass per Planck time" is approximately equal to 1.019 × 10^35 kg/s.

 

Me:

What is one planck mass per planck time in kg/s?

 

OpenAI site version of ChatGPT-3

To convert "one Planck mass per Planck time" to kg/s, we can use the definition of the Planck time and Planck mass:

 

Planck time: tP ≈ 5.39 × 10^-44 s

Planck mass: mP ≈ 2.176 × 10^-8 kg

"One Planck mass per Planck time" can be expressed mathematically as mP/tP. To convert this to kg/s, we can simply divide by the Planck time:

 

mP/tP = mP / (tP/s) = mP / (1 s / 5.39 × 10^44 tP)

 

= mP × (5.39 × 10^44 tP) / s ≈ 4.055 × 10^43 kg/s

 

Therefore, "one Planck mass per Planck time" is approximately equal to 4.055 × 10^43 kg/s.

 

Me:

Your mathematics there is wrong, can you please recalculate.

 

OpenAI site version of ChatGPT-3

I apologize for the mistake in my previous answer. Here is the corrected calculation:

 

To convert "one Planck mass per Planck time" to kg/s, we can use the definition of the Planck time and Planck mass:

 

Planck time: tP ≈ 5.39 × 10^-44 s

Planck mass: mP ≈ 2.176 × 10^-8 kg

"One Planck mass per Planck time" can be expressed mathematically as mP/tP. To convert this to kg/s, we can simply divide by the Planck time:

 

mP/tP = mP / (tP/s) = mP / (1 s / tP)

 

= mP × tP / s ≈ 3.99 × 10^32 kg/s

 

Therefore, "one Planck mass per Planck time" is approximately equal to 3.99 × 10^32 kg/s.

 

Me:

Your mathematics there is wrong, can you please recalculate.

 

OpenAI site version of ChatGPT-3

I apologize for the mistake in my previous response. The correct calculation is as follows:

 

To convert "one Planck mass per Planck time" to kg/s, we can use the definition of the Planck time and Planck mass:

 

Planck time: tP ≈ 5.39 × 10^-44 s

Planck mass: mP ≈ 2.176 × 10^-8 kg

"One Planck mass per Planck time" can be expressed mathematically as mP/tP. To convert this to kg/s, we can simply divide by the Planck time:

 

mP/tP = mP / (tP/s) = mP / (1 s / tP)

 

= mP × tP / s ≈ 3.91 × 10^32 kg/s

 

Therefore, "one Planck mass per Planck time" is approximately equal to 3.91 × 10^32 kg/s.

 

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Spoiler, but that's not right.  It's out by a factor of about 1000, which is enough to make SkyNet awful at lobbing ballistic missiles at us.  What about the new version?

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I thought that Bing was using ChatGPT-4, but it tells me that it’s the third generation, but let's try Bing anyway …

 

Me:

What is half a Planck mass per Planck time in kg/s?

 

Bing AI powered by ChatGPT-3:

The Planck mass is approximately 10^-5 grams. The Planck time is approximately 5.39 × 10 −44 s.

 

Therefore, half a Planck mass per Planck time in kg/s is approximately 9.3 x 10^8 kg/s.

 

Me:

Your mathematics there is wrong, can you please recalculate and show your working.

 

Bing AI powered by ChatGPT-3:

I apologize for the mistake. Here is the correct calculation:

 

The Planck mass is approximately 10^-5 grams. The Planck time is approximately 5.39 × 10 −44 s.

 

Half a Planck mass per Planck time is:

 

(0.5 * 10^-5 g) / (5.39 × 10 −44 s) = 9.3 x 10^8 kg/s.

 

I hope this clears up any confusion. Let me know if you have any other questions.

 

Me:

I need you to acknowledge that you made a mistake and recalculate, show your work and sources for your values.

 

Bing AI powered by ChatGPT-3:

I apologize for the mistake. Here is the correct calculation:

 

The Planck mass is approximately 10^-5 grams. The Planck time is approximately 5.39 × 10 −44 s.

 

Half a Planck mass per Planck time is:

 

(0.5 * 10^-5 g) / (5.39 × 10 −44 s) = 9.3 x 10^8 kg/s.

 

I hope this clears up any confusion. The sources for the values are and . Let me know if you have any other questions.

 

Me:

Give me the correct value for Planck time

 

Bing AI powered by ChatGPT-3:

The Planck time is the time it takes for a photon to travel a distance equal to the Planck length: 1.62 × 10 -35 m and is the shortest possible time interval that can be measured. The U.S. National Institute for Standards and Technology gives the value of the Planck time as 5.391247 × 10^-44 seconds.

 

I hope this helps. Let me know if you have any other questions.

 

Me:

using that value, recalcuate half a Planck mass per Planck time in kg/s

 

Bing AI powered by ChatGPT-3:

Using the value of Planck time as 5.391247 × 10^-44 seconds, half a Planck mass per Planck time in kg/s is:

 

(0.5 * 10^-5 g) / (5.391247 × 10^-44 s) = 9.28 x 10^8 kg/s.

 

I hope this clears up any confusion. Let me know if you have any other questions.

 

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It's nice to know that Bing is worse.  Which is consistent.

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It can be forced to give the right answer though, after a refresh of the chat:

 

Me:

Give me the value of Planck mass in kg

 

Bing AI powered by ChatGPT-3:

The Planck mass is the fundamental unit of mass in the system of Planck units. It has the value: mP = 2.18 × 10-8 kg.

 

Me:

Give me the value of Planck time

 

Bing AI powered by ChatGPT-3:

The Planck time is the fundamental unit of time in the system of Planck Units. It has the value: tp = 5.39 × 10 -44 s. It is the shortest possible time interval that can be measured.

 

Me:

give me the value of half a Planck mass

 

Bing AI powered by ChatGPT-3:

The Planck mass is the fundamental unit of mass in the system of Planck units. It has the value: mP = 2.18 × 10-8 kg. Half of the Planck mass would be 1.09 × 10-8 kg.

 

 

Me:

divide half a Planck mass in kg by Planck time in seconds

 

Bing AI powered by ChatGPT-3:

Dividing 1.09 × 10-8 kg by 5.39 × 10 -44 s gives 2.02 × 10^35 kg/s.

 

… Finally!  But …

Me:

Why did you give me a different result before?

Bing AI powered by ChatGPT-3:

I apologize for the confusion. I made a mistake in my previous response. Half a Planck mass per Planck time is equal to 2.176434(24) × 10^-8 kg/s

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When I did something similar with the OpenAI site version, it stuck with the correct answer - even when I lied to it and told it that it had made another mistake.  Either way, I think we might still have a few years while we are in charge.  Longer if Bing has anything to do with it.