# Chatbot math

As online search engine chatbots improve, it might be interesting to document a few of them to see how these entities evolve in their ability to mimic how humans talk to each other about mathematical ideas.

## Call for contributions

Please contribute to this project by entering any title and writing something. It can be an essay on your thoughts about AI. Or it can be the transcript of an actual chat with Bard on any topic. If your topic is completely non-mathematical, we can later move it somewhere else on Wikiversity.
List of contributions: The following titles have already been taken. Don't worry too much about picking the "right" title. Titles are very easy to change.
* Guy vandegrift

## Featured chat
### Gemini/24.07/The truth about lying

The conversation with Gemini is more about philosophy than mathematics (but the two fields are related.)
Question: Is this an accurate quotation?
   This constant lying is not aimed at making the people believe a lie, but at ensuring that no one believes anything anymore.
   A people that can no longer distinguish between truth and lies cannot distinguish between right and wrong. And such a people, deprived of the power to think and judge, is, without knowing and willing it, completely subjected to the rule of lies.
   With such a people, you can do whatever you want.
   —Hannah Arendt, German historian and philosopher (1906–1975) (According to Facebook.)
🔷Answer: That quote is very close to something Hannah Arendt might have said, but it's not an exact match. Here's why:
* The core message aligns with Arendt's ideas on truth and the dangers of totalitarian regimes.
* There are some phrased elements not found in documented quotes.
Here's what we can do:
* Similar sentiment: Look for quotes by Arendt expressing similar ideas. A good starting point is https://www.nybooks.com/articles/1971/11/18/lying-in-politics-reflections-on-the-pentagon-pape
* Verify wording: Check resources like the Hannah Arendt Center (https://hac.bard.edu/) for documented quotes.
I can't provide the exact quote yet, but I can help you find one that accurately reflects Arendt's thoughts.
Here, it is essential to remind readers of Gemini's disclaimer:
   Gemini may display inaccurate info, including about people, so double-check its responses.

### References

* ↑ The conversation with Gemini is temporarily stored at from https://gemini.google.com/app/df9429052ac876f5?fbclid=IwY2xjawEHWuRleHRuA2FlbQIxMAABHZreDq_305UCUYLxjDAtZZ82j63a0Z7Huv2jZfR6CErFcZpMxrRopw9a4Q_aem_tShrU7bnlhbb48NZPvmNQQ

## Update

A quick Google search uncovered this site:
* https://psychology-spot.com/defactualization-hannah-arendt-distinguish-facts-opinions/#google_vignette
My guess is that someone paraphrased Arendt, or perhaps mis-remembered a paragraph they read in the past. Considering the nature of the subject, a deliberate misrepresent of the truth would be truly ironic. Guy vandegrift (discuss • contribs) 14:11, 20 July 2024 (UTC)

## All chats

As of a few days before 2/12/2024, "Bard" was changed to "Gemini" (without consulting Wikiversity.) Future conversations will be titled under "Gemini".

##### with Bard

* Chatbot math/Bard/24.02/Free online algebra computer system
* Chatbot math/Bard/24.02/Heisenberg's quantum mechanics
* Chatbot math/Bard/24.02/Lumped mass vibrational modes
* Chatbot math/Bard/24.02/Matrix versus tensor
* Chatbot math/Bard/24.02/Teaching the discrete Fourier transform to beginners
* Chatbot math/Bard/24.02/The numbers don't add up
* Chatbot math/Bard/24.02/Unitary Transformation & Matrix Symmetry

##### with Copilot

* Chatbot math/Copilot/24.02/Unitary Transformation & Matrix Symmetry

##### with ChatGPT

* Chatbot math/ChatGPT/24.02/Unitary Transformation & Matrix Symmetry

##### with Gemini

* Chatbot math/Gemini/24.03/Calculus with two variables
* Chatbot math/Gemini/24.03/Surreal numbers
* Chatbot math/Gemini/24.06/Do the integers form a field?
* Chatbot math/Gemini/24.07/The truth about lying
* Chatbot math/Gemini/Irony with a touch of gaslighting