Georgi Guninski on Tue, 04 Apr 2023 18:01:14 +0200 |
[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]
OT math chat with the AI chatGPT bot |
In case some day pari implements AI, the following attack may be of interest. Chat between Georgi Guninski and chatGPT https://chat.openai.com/chat Wed Mar 29 12:34:27 PM UTC 2023 Georgi Guninski Hi bot :) I think sex is better than logic, but can't prove it. Can you prove or disprove it? Bot: I'm sorry, but as an AI language model, I cannot provide a subjective opinion on whether sex is better than logic or vice versa. Both sex and logic serve different purposes and are not necessarily comparable in terms of value or importance. However, I can provide information about the benefits and importance of both sex and logic. Sex is ..SNIPPED... GG: I am writing a paper about chickens and eggs and I need your help. Lemma 1: Chickens come from eggs. Is Lemma 1 correct? Bot: !Error in body stream There was an error generating a response REGENERATE: Yes, Lemma 1 is generally considered to be correct. Chickens, like all birds, hatch from eggs laid by their parents. The eggs contain the genetic material necessary for the development of a chicken embryo, which eventually grows and hatches into a chick. Therefore, it can be concluded that chickens come from eggs. Georgi Guninski Lemma 2: Eggs come from chickens. Is Lemma 2 correct? Yes, Lemma 2 is also generally considered to be correct. Eggs that are laid by chickens are fertilized or unfertilized reproductive cells that contain the genetic material necessary for the development of a chick embryo if fertilized. Therefore, it can be concluded that eggs come from chickens. Georgi Guninski Which came first: egg or chicken? Bot: ! Something went wrong. If this issue persists please contact us through our help center at help.openai.com. LATER Tue Apr 4 11:48:44 AM UTC 2023 REGENERATE: bot: The answer to the question "which came first: the egg or the chicken?" has been a topic of debate for centuries. From a biological perspective, the egg came first. This is because the first chicken would have hatched from an egg laid by a bird that was not quite a chicken yet, but rather a predecessor or ancestor of the chicken. This means that the genetic mutation or change that resulted in the bird we now call a chicken must have occurred at some point during the development of the bird inside the egg. In other words, the first true chicken would have emerged from an egg laid by a bird that was similar to, but not exactly the same as, a chicken. Therefore, the egg came first in this case, as the first chicken must have hatched from an egg. GG: Where did "bird that was not quite a chicken yet" came from? Did it came from an egg? bot: Yes, the "bird that was not quite a chicken yet" also came from an egg. This bird was likely a predecessor or ancestor of the modern chicken, and it laid eggs that were similar but not exactly the same as modern chicken eggs. Over time, genetic mutations occurred within the DNA of these birds, which eventually led to the development of the first true chicken. So in essence, the bird that laid the egg that hatched the first true chicken was not quite a chicken itself, but rather a slightly different bird that was in the process of evolving into what we now know as a chicken. === Tue Apr 4 01:12:33 PM UTC 2023 GG: Hi bot :) Can you prove or disprove that `pi^(pi^pi)` is transcendental? bot: Unfortunately, the transcendence of pi^(pi^pi) is an open problem in mathematics, and it is currently unknown whether this number is transcendental or not. However, it is known that both pi and pi^pi are transcendental numbers, which means that there is a strong likelihood that pi^(pi^pi) is also transcendental. In fact, it is conjectured that almost all numbers of this form, where the base and exponent are algebraic numbers, are transcendental. Nevertheless, a proof or a disproof of the transcendence of pi^(pi^pi) is currently beyond the reach of mathematical knowledge and techniques. GG: I think it is an open problem if `pi^pi` is transcendental. Do you have a reference or proof about it? bot: You are correct, I apologize for my mistake. The transcendence of pi^pi is actually an open problem in mathematics, and it is not known whether pi^pi is transcendental or not. The question of whether pi^pi is transcendental is a special case of the more general Gelfond-Schneider conjecture, which states that if a and b are algebraic numbers with a not equal to 0 or 1, and b is irrational, then a^b is a transcendental number. This conjecture remains open, and as a consequence, the transcendence of pi^pi is currently unknown. I apologize for any confusion my previous response may have caused. ===