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The Pirahã are off by one (2020)

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11–20 of 24 posts

Re: The Pirahã are off by one (2020)

#11
post #3

I've been thinking about something related recently. I was wondering if the only number that truly exists is One. Zero is nothing and therefore doesn't exist, and all that does exist is eventual composed of One.

I had a similar thought about numbers that exist or don't. In my book, something like two or ten exists - because my kid can hold up 2 fingers and say 2 or all of them and say 10. I am saying that you can actually count to those numbers in physical space. But at some point, the number is like larger than the number of atoms in the universe (or whatever you think is the biggest domain we can count) and once you go pas…

So .. if the world has 10 marbles we may only count to 10 ..?

This despite there being ( 10 x 9 ) groupings of pairs of those 10 marbles?

For any of those 90 pairs we can show a physical example of ( this marble, that marble ).

Re: The Pirahã are off by one (2020)

#12
post #3

I've been thinking about something related recently. I was wondering if the only number that truly exists is One. Zero is nothing and therefore doesn't exist, and all that does exist is eventual composed of One.

I had a similar thought about numbers that exist or don't. In my book, something like two or ten exists - because my kid can hold up 2 fingers and say 2 or all of them and say 10. I am saying that you can actually count to those numbers in physical space. But at some point, the number is like larger than the number of atoms in the universe (or whatever you think is the biggest domain we can count) and once you go pas…

Sounds like ultrafinism or actualism:

https://en.wikipedia.org/wiki/Ultrafinitism

https://en.wikipedia.org/wiki/Actualism

Re: The Pirahã are off by one (2020)

#13
post #3

I've been thinking about something related recently. I was wondering if the only number that truly exists is One. Zero is nothing and therefore doesn't exist, and all that does exist is eventual composed of One.

"Zero is nothing" is my first objection here. Zero is not always Nothing; I feel like there are many mathematical zeros (including Nothing). The duality of existence and non-existence means that We all share fundamentals, totally agree with you there.

Zero is not even absence it would be absolutely nothing, irreducibly nothing.

Re: The Pirahã are off by one (2020)

#14
post #13

Earlier quoted context omitted.

"Zero is nothing" is my first objection here. Zero is not always Nothing; I feel like there are many mathematical zeros (including Nothing). The duality of existence and non-existence means that We all share fundamentals, totally agree with you there.

Zero is not even absence it would be absolutely nothing, irreducibly nothing.

Though a strange thought has occurred that existence of One implies Zero by it's lack of absence. But this feel incoherent because these two poles can never exist together.

Re: The Pirahã are off by one (2020)

#16
post #14
post #13

Earlier quoted context omitted.

Zero is not even absence it would be absolutely nothing, irreducibly nothing.

Though a strange thought has occurred that existence of One implies Zero by it's lack of absence. But this feel incoherent because these two poles can never exist together.

Counterexample: qubits

Re: The Pirahã are off by one (2020)

#17
post #3

I've been thinking about something related recently. I was wondering if the only number that truly exists is One. Zero is nothing and therefore doesn't exist, and all that does exist is eventual composed of One.

You sounds like you'd enjoy learning about the Surreal Numbers.

https://www.youtube.com/watch?v=mPn2AdMH7UQ (15m video starring Don Knuth) https://www.youtube.com/watch?v=1eAmxgINXrE (1h15m video starring John Conway)

It may be the case that you've already heard of the Surreal Numbers, but I remain confident you enjoyed learning about them. :)

Re: The Pirahã are off by one (2020)

#18

> This is seen as proof of the Sapir-Whorf hypothesis, that words determine the concepts you can use: Pirahã can’t instantly compare collections of objects to see which is bigger (e.g. a pile of four batteries next to a pile of five) while people in cultures with other number systems can. My goodness. Sapir and Whorf had this theory, but neither gathered much data to prove it, and attempts to do so since Whorf's deat…

Whorfianism is certainly oversold, but it's hard to come down completely against it in the face of evidence from color identification. If it weren't that people make these claims about Pirahã all the time, "it's slightly slower to compare counts of things if you don't have basic numerals for them" is exactly the sort of thing at about the right level of automaticity to sound plausible.

The obvious thing is that the concept precede the word and the word reinforce the concept

Re: The Pirahã are off by one (2020)

#19
If you are interested in the Piraha, the book "Don't sleep, there are snakes" is fantastic. Incredible to read about their language and what life is like deep in the Amazon.

Re: The Pirahã are off by one (2020)

#20

> This is seen as proof of the Sapir-Whorf hypothesis, that words determine the concepts you can use: Pirahã can’t instantly compare collections of objects to see which is bigger (e.g. a pile of four batteries next to a pile of five) while people in cultures with other number systems can. My goodness. Sapir and Whorf had this theory, but neither gathered much data to prove it, and attempts to do so since Whorf's deat…

The book "Don't sleep there are snakes" by Everett is still a very entertaining read! I highly recommend it.
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