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ChatGPT人工智能测试希腊数字与欧几里得几何

已有 1437 次阅读 2023-10-26 05:54 |个人分类:科学正史|系统分类:科研笔记

希腊数字与欧几里得几何

下面用微软的ChatGPT 测试希腊数字计算圆周。

李:Can you show me how to calculate, using Greek numbers, the circumference of a circle with a radius of 40 m?

Chat GPT Certainly! The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π is the mathematical constant pi, which is approximately equal to 3.14159265… 1.  (ChatGPT 的希腊数字主要参考是Wikipedia。)

Substituting the given value of radius (40 m) in the formula, we get:

C = 2πr C = 2π(40) C = 80π

Therefore, the circumference of a circle with a radius of 40 m is 80π meters.

In Greek numerals, this would be written as “80π μέτρα”.

李: You are using the modern numbers 2 and 80. I am asking for the calculation using Greek numbers.

Chat GPT I apologize for the confusion. In Greek numerals, the number 2 is represented by the symbol β (beta) and the number 80 is represented by the symbol πο (pi-omicron) 
(李注:错误。80应为π, pi; 70ο, omicron

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π is the mathematical constant pi, which is approximately equal to 3.14159265… 2.

Substituting the given value of radius (40 m) in the formula, we get:

C = 2πr C = βππο 

Therefore, the circumference of a circle with a radius of 40 m in Greek numerals is βππο. 

(李注:正确答案是ππ,或 80π, 换算为251.327, 但是希腊数字80与圆周率是同一符号,所以电脑无法分辨。人工智能逻辑与希腊数字逻辑不相容。) 

李:No, you are still using 40, which is not Greek number.

Chat GPT I apologize for the confusion. The Greek numeral for 40 is μξ (mu-xi) 1. (错误)

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π is the mathematical constant pi, which is approximately equal to 3.14159265… 2.

Substituting the given value of radius (40 m) in the formula, we get:

C = 2πr C = βπμξ

Therefore, the circumference of a circle with a radius of 40 m in Greek numerals is βπμξ.(错误!)

李:Thanks, how do you say the answer in Greek?

Chat GPT In Greek numerals, the circumference of a circle with a radius of 40 m is βπμξ. (错误!)

李:I mean how to pronounce it in Greek?

Chat GPT In Greek, the pronunciation of βπμξ is “vita-pi-mi-xi”.

李:Please calculate with modern numbers of the same formula for the circumference of a circle with radius 40 m.

Chat GPT Certainly! The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π is the mathematical constant pi, which is approximately equal to 3.14159265… 1.

Substituting the given value of radius (40 m) in the formula, we get:

C = 2πr C = 2π(40) C = 80π

Therefore, the circumference of a circle with a radius of 40 m is approximately 251.3274 meters.
(李注:人工智能用中国发明的现代数字可以算出正确答案。)

李:How do you express 3.14159265 in Greek numbers not using pi?

Chat GPT In Greek numerals, the number 3 is represented by the symbol γ (gamma) and the number 1 is represented by the symbol α (alpha) 1The number 5 is represented by the symbol ε (epsilon) and the number 9 is represented by the symbol θ (theta) 1The number 2 is represented by the symbol β (beta) and the number 6 is represented by the symbol ϛ (stigma) 1Finally, the number 5 is represented by the symbol ε (epsilon) and the number 6 is represented by the symbol ϛ (stigma) 1.

Therefore, in Greek numerals, 3.14159265 can be expressed as γαεθβϛεϛ.
To express the same answer in modern numbers, 3.14159265 can be rounded to 3.1416.

 (李注:Chat GPT漏掉小数点,数字4)

李:You did not include the decimal place (.)

Chat GPT I apologize for the oversight. In Greek numerals, the number 3 is represented by the symbol γ (gamma) and the number 1 is represented by the symbol α (alpha) 1The number 5 is represented by the symbol ε (epsilon) and the number 9 is represented by the symbol θ (theta) 1The number 2 is represented by the symbol β (beta) and the number 6 is represented by the symbol ϛ (stigma) 1Finally, the number 5 is represented by the symbol ε (epsilon) and the number 6 is represented by the symbol ϛ (stigma) 1The decimal point is represented by a dot, which in Greek is called a τελεία (teleía) 2.

Therefore, in Greek numerals, 3.14159265 can be expressed as γαεθβϛεϛ τελεία γα. 

李:what does ϛ mean in here?

Chat GPT In Greek numerals, ϛ (stigma) is a special numeral symbol that represents the number 6 1It is derived from the Phoenician letter waw, which represented the sound /w/ 1The symbol was used in ancient Greece to represent the sound /st/ in some words, such as στρατός (army) 1.

(李注:根据ChatGPT的解释,答案γαεθβϛεϛ τελεία γα换算为31592656.31,不知所谓。)

 

总结:

ChatGPT的基础是二进法,一般数学的基础是十进法,位值。希腊数学没有二进法,没有十进法,没有位值,数字与字母用同一套符号,不能运算圆周,认为几何学来自希腊人欧几里得是没有根据,不能成立的。只有用中国发明,从结绳记事开始一万多年传承有序的数字符号才能得出正确答案。中国数字是数学计量之源,是科学研究之祖。

欢迎大家测试,纠错。

李兆良 2023-10-25

 

 




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