It is not very imaginable. Changing an entire numeral system worldwide is too difficult to be doable.
Not that simple buddy. In my argument about how you could just teach people born after a certain year the metric system, I meant to say that you just taught both. "Okay, so this is one metre, there are a thousand metres in a kilometre, and this is a foot, and three of them is a yard" and "I know you're used to using inches but please use centimetres in class, okay?". The reason is quite simple, it's the parents and existing family. For this new duodecimal system, you'd either have to completely reinvent the numbers (not use 0-9) or enforce the new system. Now imagine this, if I'm a student at a school that teaches me the new system. How will I know when once a person says 50, they mean 50 or 60? There's next-to-no context that can be identified using this. If somebody says that their friend is 1.5m tall, it could either mean that they're quite short (1.5m) or quite tall (about 1.8m) with no way to now. And if the size is less, then it's even more difficult to know.
hmm.. when i said people should be educated instead of re-educated, i wasn't talking about teaching metric, or imperial, or decimal..
i meant people should be educated about numbers because it's pretty clear that not many people know what they are.. for one, numbers are entirely a man-made construct.. the decimal system is not natural and the number ten is most certainly not magical.. up until a few days ago,
you yourself thought the number ten was magic (and i'm under the assumption you pretty much feel the same way about it now as then)
kids should be taught what numbers actually are and how they work instead of rote memorizing times tables and whatnot.. current adults should also be taught this but i have low faith in that happening since it pretty much requires them to teach it to themselves.. and we don't really have much critical thinking skills as adults since we were generally just taught through memorization.. ("don't think about it.. just do what i say" type of bs).. maybe you could do a little freshening up on the topic? i assure you it's not very difficult and maybe even a little bit fun.
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0-9 would definitely still be used.. there's no reason for them to go away.. 10,11,&12 would go away.
if someone says 50, how would you know.. ? because they said fifty..
fifty quite literally means 'five ten'.. fifty (and twenty,thirty,etc) are not unique words.. they are constructed using the numbers 1-9 in combination with the base (10) .. twenty is 'two ten'.. thirty is 'three ten'.. etc..
but come on.. this is obvious, right?
in base 12, there is no usage of the word 'fifty' because there's no number called ten.
50 in base twelve is said 'five doh'.. five units of the base, 12, which is spelled/pronounced 'doh'.. the decimal equivalent is 60. (as in, 5x12=60)
in written form, there would probably need to be an indicator during the transfer period.. possibly a unique character but there's already a mark in use that does exactly this.. it notifies the reader that the number is in base12.. it's the single quote mark and used to signify a foot.. if i write 3' 7.. the (') tells you that you're in base twelve.. this number is not 37.. instead, it's 43 (in decimal).. 3' 7 is equal to 43 inches.
or- 37 in duodecimal is equal to 43 in decimal.
so, during the switchover, a person could write 50' (or whatever) to signify they're in base twelve.. the super cool thing about a base twelve switch would mean that i'd no longer need to annotate my drawings with ' and " ... 5'-3" would now simply be written as 53 while using a measuring system styled after metric
...
1.5m vs 1.8m
?
again, those are decimal system words.. they are unique to only decimal. Meter means 100cm .. there is no "one hundred" in base 12.. '100' as we know it today is a more generic '84' in base12..
the number 100 in base12 is equal to 144 in decimal.. it's called a
gros (like the word gross.. i.e. 12 dozen).. pronounced 'gro' (silent s)
i think, at least up to now, you're missing the part about the metric system would have to change if the standard numbering base changed..
'milli' denotes one-thousandth.. there is no 'one thousand' in base 12.. (there's certainly a 1000 and it's just as meaningful as 1000 in decimal or, it's derived in the exact same way.. it just represents a different amount though.. just like in base10, it's base*base*base.. 10 x 10 x 10... in base12, it's equivalent to 12*12*12.. or 1728.. like- 1 cubic foot is 1728 cubic inches.. it's better math than metric but metric has cleaner numbers to write this in since the unit system was tailored to decimal.. if our numbering system matched our unit system, it would be 1000 cubic inches instead of 1728.. or 1cf = 1000ci... exactly the same as the way 1L = 1000ml)
the metric system is a decimal system.. it was completely built around the decimal system.. if there's no decimal system, there's no metric system. you see?
there could (and should.. and would) be a new system that functions exactly like metric except in base12.
it would allow one to do things like 10mm ÷ 3 = 4mm instead of 10mm ÷ 3 = 3.33333333333_mm
the numbers would work the same exact way as some of the imperial system numbers do except we'd no longer have to use symbols such as ' and " to signify we're in base12.. there's no more 6'-7" ..it would just be 67
you see? just like metric works except the numbers work better like in imperial.
the only reason imperial users write things such as 2' - 9 7/8 is because we're using base12 logic within the constraints of a base10 system.. we have to specifically write the above number to say 2 x 12.. plus 9.. plus 7/8... which equals 33.875 inches..
and the only reason we have to write things like that is because of 10 & 11 not being written with single characters and instead have been composited using multiple numbers which have come before them.
if i have the length 5' 10, i must write it as such or else it would say 510.. and there is another number written 510 as well.. and combinations which look the same too like 5100 etc.
if ten were a single character such as the proposed ᘔ, writing 5' ᘔ" is no longer necessary.. it's then just 5ᘔ..and it's the only number that exists that looks like this. 510 in base twelve means something else (732).. 5ᘔ0 means something else.. etc.
the numbering system should change to match what we're doing with the unit divisions in imperial.. not the other way around.
this is where the french screwed up.. they were faced with this decision and chose the wrong one.. if they chose the other way, i'm sorry but every single thing i've said on this exact matter, you'd be in complete agreement with it.. i'd bet my life on that statement.
(though i'm also willing to bet that you still wouldn't really understand why you're in agreement with it.. other than something like "all the other people within a thousand miles of me do this so i think it's the best!')
So now, everyone will have to learn that pi is now 3.77. Very convenient.
it's actually written 3.18 in base12..
however, nothing about pi changes.. it simply appears differently when shown in different bases.. maybe don't learn that pi is 3.18... learn what it really is and why it is what it is.. then the written numbers will be completely ingrained since you've learned it in a more proper manner.. you wouldn't ever have to learn 'pi is now such&such'.
but i get it, we're taught that the only way to learn is through rote memorization so in that case, yes.. you'd have to learn that pi is now 3.18.. is that too much to ask?
Clearly you have no knowledge of how languages work. You can't just pull out a word out of your ass and say that's the new way to spell it. Sure, I can see how you can use the new proposed characters, that's not a problem considering 0-9 have been globalised at this point, but a serious problem with languages (only exception is a constructed language, but there's only one that's being spoken and even then nobody speaks it).
new words, in case you haven't noticed, are generally now the same regardless of particular languages.
'blog' for example.. can you translate that to german for me? how about spanish? thx.. and it's most certainly a word used in both german and spanish.. a new word will now generally be the same for everybody as the original language it was made in.. (blog being created in english.. reasoning of 'web log'.. so it makes some sense where the word originated in the original language but that's not of particular importance).
pretty much all new words in biology and other sciences are the same worldwide..
there's no reason why 3 new words for numbers would need to be specifically given a different spelling etc for every language.
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and really.. do you think i'm making these words up? these are already words and symbols i'm using.. there are different proposals as to what the official names/symbols should be but i'm using the ones that are common.
other proposals would have 10 and 11 being replaced with A and B..
like, our numbers would be 0,1,2,3,4,5,6,7,8,9,A,B
sounds crazy, huh? or is it.
have you ever seen this numbering scheme:
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
?
you should have.. that's the hexadecimal system being used by that thing you're staring at right now..
(and back to the notation thing, a number is often written 14h to signify it's in base16)
what planet would you be living on if the number 10110 was used to represent the number you know as 22?
this one.
that's from the binary system.. base2.. again, being used by that thing you're staring at right now.
far (gazillions of times more) more daily calculations are made with numbering systems other than decimal than are made with the decimal system..
if you type something like 1.7 * 32 into your computer, it first has to translate that gibberish into something that makes more sense for calculations.. do the calculation.. then, retranslate it back to decimal so it can communicate to you and your ten fingers.
the decimal system is only used by humans.. and the ONLY reason it's used by humans is because we have 10 fingers.
i get it that you think i'm exaggerating or something when i say that but it's plain and simple truth.
your beloved decimal system is in use for one stupid reason..
if you want to argue the merits of the decimal system, you have exactly one argument to use.. "but we have ten fingers so it's the best choice for humans"
So now I don't just have to completely adapt myself to a new numeral system, I also have to adapt myself to completely new language rules. Oh wait, that's right, if I know multiple languages I got to not only relearn elementary numbers but I gotta get used to them in each one of those languages. FANTASTIC!
you don't have to do anything.. use decimal and metric to the very day you die.. i certainly don't care about that.
i'm talking bigger picture.. definitely bigger than any particular individual.
improve education.. improve what people are taught about numbers.
if that happens, we'll naturally start using base12 since we'll be a more intelligent population.. no arm-twisting or force feeding required.
Dude really? This type of change may take not just 30 years, it may take up to a hundred, if not more.
If we all switched today, there's no way I'll even be alive when the madness ends.
no, you'll switch bases.. maybe not exactly you but it's within reason, assuming you're somewhat on the younger side, that computers will make it into our bodies and assist with tasks requiring mathematics.
if & when that happens, you're no longer going to be doing math in base10.. probably base2 or base16.
(see- base12 isn't even best for math.. it's best for humans for math..
the point isn't that base12 is the ultimate universal way to deal with numbers.. the point is that base12 works best with our brains and our lives.. and decimal is worse than any of these bases for any of these applications.. except, of course, counting how many fingers you have)
Besides, I'll repeat what I said before. Your only argument for this is that you can't easily divide 10 by 4 (without having a rest) or 3 (without having a repeating number). Just because 0.33 is causing a bit of problems means that we should **** up the entire human population by switching to a 12-unit system?
that's not my only argument.. 1,2,3,4 all work very well with base12.. these are, in order, the most common numbers to be used in our lives.. 5, which works good with decimal, is statistically speaking used far less frequently in practical applications.
further, numbers like 6,8, & 9 also work better and cleaner in base 12 than in base10.. 5, 7 & 11 aren't too sweet in base 12 but they are still better than in base10.
in base10, you have
1 ÷ 3 = .33333333333333_
1 ÷ 6 = .1666666666666_
1 ÷ 7 = .142857
142857_
1 ÷ 9 = .111111111111_
1 ÷ 11 = no such thing as 11 in base10.
4 of the numbers in base 10 create repeating decimals.. 3 of which begin repeating instantly.. they're repeating within the tolerance range of many measuring uses.
if i'm drawing/building with a tolerance of .001", i'm dealing with repeating decimals within that range.. accuracy is suffering within my working allowances.. only #7 produces a repeating decimal that's not really affecting me since it doesn't repeat until a much much smaller value.
in base12, there are no occurrences of these immediate repeaters except 11 (which ends up being the same thing as 9 in decimal)
5 becomes the worst number (in this regard) as it produces repeating digits earliest.
1 ÷ 5 = .2497
2497_
1 ÷ 7 = 0.186ᘔ35186ᘔ35_
1 ÷ Ɛ (11) = .1111111111_
none of my most used numbers create complications.. they all work very clean.. 5 is iffy but repeats once it's outside of my tolerance as does 7.. 11? well, poor 11.. never going to catch a break in either of these two systems.
my use of aliens and/or alternate intelligence in the universe is meant as a different way of saying base10 is not natural.. Ten is not universally pure as you'd like to believe..
it's a concept that a human or small group of humans made up thousands of years ago.. and yeah, back then it was probably better and more useful and possibly clicked better with the minds and technology of that era.. not any more.. so we change, we evolve when things like this happen.. or we should.
It's not nearly enough of an improvement to be considered. If it was a base 7 system, then maybe you'd be right. This is a base 10 system, which works very well. You only need to change if it's causing serious problems. And as I said in my OP, I usually don't like changes when I'm used to something, but once I see that it's worth it, I end up doing it anyway. I don't think base 12 is worth it. Not at all.
here's the thing.. i'm going on and on about these numbers because it's interesting to me, it's fun to me, and it's useful to me and my work.
all of these words aren't trying to convince everyone that we, as a species, must switch to base12 or else we are doomed..
in short, i'm just blabbering about something i find interesting.
what i hope can happen though, as a result of these roundAbout explanations of imperial and how it already has /always had these alternative bases.. is that you can get off your kick and realize what your thread is about.
the sense of entitlement by some here is astounding.
you're on and on about "switching to base12 is unnecessary with no advantages and would be impossible for us to do in this era.. also, you should switch to metric system because it's superior and the system you use is outdated"
correct?
you're telling me to quit using base12.. i use it every single day. no exaggeration.. i use base 16.. every single day.. i use base 10.. every single day.. (and my computer uses base2 and 8 and hex for me every day)
all of these have definite positives depending on your actual use case..
your whole spiel here is telling me to dumb down and adopt a system that forces me to use base10 only.
it's just a horrible idea and you've given no good reasons for me to do that.. not one. where as i can (and feel i have) give you reason after reason after reason as to why it's more beneficial to have more than one way to mathematically approach a given situation/scenario i encounter in everyday life.
you're completely failing to recognize or accept that in imperial, we can, and do (very often- not just in weirdo outside cases) use the decimal system.. when we do that, it's functions e x a c t l y like the metric system.. do you understand this?
there's no reason for me to switch to metric because the system i use currently will give me identical results.. identical numbers to be entered in a calculator.. exact carbon copies of the equations.
however, me switching to metric does mean i no longer have a measuring system where i can use base12 when desired.. or use base16 when desired (which -- by the way.. base16 is the one i use most often.. probably 85% of the time these days.. i now work in a shop where i'm building smaller ,say, furniture sized pieces where as i used to work on larger sites/scales in which i'd opt for base12 most often)
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my main point is this --> heck yeah i'll switch!! count me in.
but i'm definitely not going to switch to your limited metric system just so i can do things the way you were taught.. or so i can say 100cm = 1m ..that is a horrible trade-off for what you're asking me to give up compared to what you're telling me i'll gain.. like worst deal of the century.
if i'm going to take the time and effort and resource to switch, i'm going to switch to something that's better than imperial.. not something that's more limiting.. if i'm switching, i'm going to switch to a measuring system that functions very much like metric, has the unity of metric, except it's in base12 instead of decimal.
this solves so many of the complications associated with the imperial system And it solves so many of the complications associated with the metric system... while adding very very little new or base12unique problems..
the trade off in that proposal is well worth it.. it is a good deal.
what's bugging me most is the freaking attitude "you all do this now because i say so.. you need to add and subtract and write this way because my system is superior and your mathematics&measuring capabilities are outdated.. I refuse to accept any other ideas besides my own as viable alternatives.. etcetcetc..
like -- you're telling me to do all these stupid things , for your pleasure, while you sit there and do absolutely nothing..
you want to see a change in measuring ? ok.. i'm definitely game.. (should be obvious now, right?)..
so
LET'S change then.. get on with it already.
..oh? you don't want to lift a damn finger and simply want to sit around telling me what to do.. for no good reason but for a bunch of bad reasons?
hmmm... no thanks
ok?
deal