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I disagree. All arguments I have seen that math are universal are in my opinion circular or using assumptions that are specific to our species or even to our w
by JPLeRouzic 4y ago
I disagree.
All arguments I have seen that math are universal are in my opinion circular or using assumptions that are specific to our species or even to our western culture.
For example communication with alien, by assuming that math is universal, has been proposed by sending string of prime numbers that represent 2D pictures with this algorithm:
(https://math.dartmouth.edu/~carlp/PDF/extraterrestrial.pdf https://math.dartmouth.edu/~carlp/PDF/extraterrestrial.pdf)
1* Create a rectangle
=> Assumes a 2D picture has the same meaning for aliens, even for some humans it is not true.
https://theconversation.com/blind-in-the-mind-why-some-people-cant-see-pictures-in-their-imagination-86849 https://theconversation.com/blind-in-the-mind-why-some-peopl...
2* Divide it into units, such that each side has the length of a certain prime number.
=> Again this is a very visual way to think, even insects would have problems with that.
=> We have an interest in prime numbers which may not be shared. Factorization of prime numbers considers couples of numbers --typically 2D mindset-- what if aliens are more interested in factorization of triplets? After all it would be more logical to send graphic information
=> We have also a way to understand numbers and operators which might not be universal, for example "zero" is a weird number with some properties different from other numbers. Even IEEE had to invent NaN (Not A Number) which is not a mathematic concept in our culture. Aliens might see zero as a null operator (instead of a number) that could be composed with multiplication and division operators.
3* Encode images into the rectangular grid by making each square black or white (or a dot or a dash).
=> Again this is a very visual way to operate
4* Take apart the image row-by-row or column-by-column and make it into one long pattern.
=> Again a very visual way to operate, in addition more symbols will be needed to mark the end-of-line and end-of-picture. This is not told as the whole idea is to transmit symbols through math, so the need for extra mathematical symbols ruins the full concept. Indeed if there are end-of-line and end-of-picture, there is no need for the factorization of prime numbers trick
5* Transmit the message.