We should count in base four

Hjalmar@feddit.nu to Showerthoughts@lemmy.world – 23 points –

We have basic words for the numbers zero to three, so why not use them to count?

  • None (0)
  • Single (1)
  • pair (2)
  • Multiple (3+ but we'll use it as three)

So with those "digits" we can construct some numbers:

  1. Single
  2. pair
  3. Multiple
  4. Single nothing
  5. Single single
  6. Single pair
  7. Single multiple
  8. Pair of nothing
  9. Pair of singels
  10. Pair of pairs

And of course we can construct bigger numbers like:
42 = 4²×2+4¹×2+4⁰×2 = pair of pairs of pairs
128 = 4³×2 = pair of absolute complete nothinges For this last one I just use some adjectives to repeat the "nothing" as it looks really weird with multiple nothing in a row.

The distance between Stockholm and Gothenburg is a single multiple of none multiple multiples

Could I have a single multiple of bananas please?

45

One of us is high as fuck and I don't think it's me.

I am high actually, genuinely thought it made perfect sense lmao

I bet a lot of things make sense to you when you’re high, sharkfucker420

I might be weird for this but one of my favorite things while high is to watch videos about scientific and political theory way beyond my level of understanding. It makes perfect fucking sense until I actually try and think about it. Fantastic time 10/10

OP is clearly a troll:

In fact, trolls traditionally count like this: one, two, three . . . many, and people assume this means they can have no grasp of higher numbers.
They don't realize that many can be a number. As in: one, two,three, many, many-one, many-two, many-three, many many, many-many-one, many-many-two, many-many-three, many many many, many-many-many-one, many-many-many-two, many-many-many-three, LOTS.
Terry Pratchett - Men at Arms

Yes, I'm indeed a traditional Swedish troll. Here I am, I'm the one to the right with red hair on this image:

Me

But everyone knows camels are the better mathematicians, having always used base infinity.

Lack of fingers was another big spur to the development of camel intellect. Human mathematical development had always been held back by everyone’s instinctive tendency, when faced with something really complex in the way of triform polynomials or parametric differentials, to count fingers. Camels started from the word go by counting numbers.

Terry Pratchett - Pyramids

Are we trying to outmath the Danes or what is going on?

Mathematically this works just like our number system, your just not used to it

Lemmings really do be built different. You would never see this kind of raw mathematical genius on reddit

Why not use “triple” for three, which actually does mean three.

Because we also have words like quadruple, quintuple, etc which would break his theory. lol

If you ask someone for "multiple" of something their almost always going to give you three of that thing (or nothing). In that context multiple is just three and as @CatsGoMOW@lemmy.world pointed out, if I use triple I could as well keep going with higher numbers (quadrupole etc)

If someone asks me for "a few" I'll give them three or four. If someone asks for "multiple" I'll give them a handful and ask if that's enough.

I don't know where in the world this theory is coming from, but here, two would be "a couple" and three+ would be "a few." Not that "a pair" (never just pair) and multiple aren't used in other contexts, but you wouldn't use pair and multiple in the same context. A pair is specific, multiple is an estimate.

It's just me thinking of what I ordered people near me would do. But I'm not a native English speaker so my feel for the language might be wrong; I'm from Sweden (and my mother tongue is Swedish).

If you ask someone for "multiple" of something their almost always going to give you three of that thing (or nothing).

Huh? I've lived a long time and that's not something that feels familiar to me. On the other hand I do have multiple dollars in my bank account and that equation checks out.

I'm not a native English speaker so you (and everyone else here) are probably right. I thought it meant the same thing as the Swedish word "flera" whilst the proper translation seems to be "ett flertal"

I think it differs. To me, "flera" is like 3-5 maybe? Perhaps 4-10 in some cases. And I sometimes hear people use "par" to mean 3, probably short for "ett par tre stycken", so a poorly defined 2-3 that sometimes is 3.

Lower bases like base-2 and base-4 are more efficient in some ways because they use fewer symbols, but with the tradeoff that the numbers get longer. e.g. 13033 vs 499. Most computers count in base-2, but ssds actually count in base-8, as it's the most efficient way to store data on the kind of flash storage that they use. Honestly, for humans it probably matters more to have easy division, like with base-12, base-60, and base-360, than it does to have writing efficiency. Bases using square numbers, like base-4, base-8, and base-16 are convenient for computer scientists though, since they convert easily into base-2.

I think you meant "powers of two" not "square numbers" near the end there

ssds actually count in base-8

Not all of them and not always

SSDs aren't just that simple. All of them have at least some SLC area, usually as cache, that's in base 2. But the rest of the SSD can be SLC base 2, MLC base 4, TLC base 8 or even QLC base 16.

And overall it's still base 2 because each SSDs pretend one block of base 4 is just two blocks of base 2, and accordingly they pretend a block of base 16 is just 8 blocks of base 2 storage.

Sure, I was simplifying a bit. But on the hardware level, TLC SSDs (the vast majority of SSDs in 2024) will physically address flash memory outside of the SLC cache as base-8. Each cell that gets written is written with a base-8 digit. But yeah, what gets exposed to the computer is all base-2. I just wanted an example of modern computers using higher bases.

I guess another example would be busses that use PAM, such as Wifi, modern 100mbit+ ethernet over copper, 100gbit+ ethernet over fiber, PCIe 6.0+, and GDDR6X. These all send symbols that count in higher bases than the traditional base-2 NRZ/PE/BPSK signalling. Often these are base-4, but they can go up to insanely large numbering systems, like base-4096 with Wifi 7.

You're absolutely right on that count. If you switch fast enough, everything has a capacitance. That's why with CMOS designs once you go above a few kHz you start worrying about fan out.

It's also why, once the ceiling is reached, everything starts using modulation tricks previously used in RF. Ethernet started with 1GbE, USB with 3.0, DSL did it from the start, with PCIe even gamers have probably seen eye diagrams in riser tests, and coax is the very definition of pushing RF over a wire.

Wait. Too many acronyms. Why do SSDs count in non binary? I thought they were banks of transistors.

Modern flash-based SSDs are banks of capacitors, and recent ones will usually store 8 different voltage levels per capacitor, allowing it to count in base-8 and saving physical size over counting in base-2. This is called "TLC", or "Tri-level cell", meaning it can store the equivalent of 3 binary bits of data in a single capacitor.

Is there any sort of error correction for this? Don’t capacitors lose charge over time?

Yes, of course there is error correction. Also, while the SSD is on power, it'll constantly go through all data and fix the areas that are starting to deteriorate.

But this does mean an SSD left without power will slowly lose data over months and years.

This also means that writing data is much slower and the SSD can handle far fewer writes. But the tradeoff is that TLC and QLC SSDs can handle 2× and 4× more data than MLC SSDs for the same price.

That's why MLC SSDs are primarily used for professional use and TLC and QLC is primarily used for gamers.

Some TLC and QLC SSDs even allow you to choose how much of the SSD should be used as SLC/MLC space (4× less data, 4× faster writes, 4× more endurance) and which part should be used as TLC/QLC (4× more data, 4× slower changes, 4× less endurance).

Should be single syllables to speak. Nil, bit, pair, few.

15 is a few few. 12 is few nil.

But for more than 2 digits, I think we need something better than just spewing digits. I would propose a vowel suffix for the higher digits. Y, O, and A. So 63 becomes few-y few few, and 64 is Bit-Y or “bitty”. Don’t need to say the nils after. 65 is Bitty bit. 255 is FewO FewY few few, followed by 256 which is Bitta.

Smart, I like the shorter words. And for the suffixes your basically picking based on the digits position from the left? So you suggest the suffixes:

Place suffix
1 place
4 place
16 place Y
64 place O
256 place A

I believe we'd have to continue a bit longer and maybe also have a suffix for 4th place? I would suggest using both prefixes and suffixes, maybe in this order:

Place suffix prefix
1 place
4 place A
16 place A A
64 place O A
256 place Y A
1024th place O
4096th place A O

... And so on, you can probably see how you could keep going in order to express any number up to 16777216. After that we might have to start using two letter prefixes/suffixes like "la", "ro" or whatever

Hey how many fingers were you born with? 10 probably. And now you know why we use base 10.

Although to be fair the Babylonias loved them some base 60. See also time keeping and degrees in a circle.