So you’re saying 1.52535 seconds after 12:00 is more precise than saying 1.5 seconds after 12:00???
Here’s a clue: 1.5 seconds after 12:00 is .02535 seconds in the past at 1.52535 seconds after 12:00.
Do I need to teach you how to tell time too?
Sure, that’s sort of fair, almost. In base 3 I suppose you would word it as dividing by 10. 10 in base 3 has the same value as 3 does in base 10, so if we want to talk in base 3 terms, you would write it out as 1/10.
So what you really mean in base 3 is that you can divide 1 into 10 parts equally. Got it!
Sure, where “10” is what we normally mean when we say “3”. Glad you finally agree!
And in base 6, 1/3 is 0.2
- a good way to put it.
Every decimal indicates that pi is less than 1 more than that decimal –
3.1415 is less than 3.1416
3.14159 is less than 3.14160
3.141592 is less than 3.141593
3.1415926 is less than 3.1415927
You never get to 3.1416 – certainly not to infinity.
The bases arguments are irrelevant.
What we “normally mean?” Why are you now calling base 10 “3” “normal?”
YOU are the one that wants to stop converting to base 10, remember? Now you are being a hypocrite and converting to base 10.
Base 3 means .1, .2, 1.0
PERIOD! There is no “3” so you can’t divide an object into “3” parts in base 3.
So now we have that settled! 
Now you’re just playing childish semantic games.
Never mind.
Neither of you can think in a base.
Zero is decimal notion.
Decimal literally means ten.
So. When there’s a decimal… that automatically means ten.
When you think in it’s own base, the decimal doesn’t mean 10 anymore.
It’s a mistake in base three to say 1*1+1 equals 10.
It would be 1010 + 1/3 equals 10 if you’re converting from base 3 to base ten.
I haven’t had a base calculator in decades. I’m pretty sure that’s what it is.
I had to use the plus / times operator to explain it.
LOL!
I was explaining exactly what I meant by giving you the base 10 conversion, and you complained about me converting to base 10.
Now I don’t convert and hold your feet to the fire and you call it “childish games.”
YOU are the one mixing bases, not me! I was giving you the conversions to base 10. YOU are actually mixing the two bases by saying you can divide 1.0 equally into 3 parts in base 3.
Again, NO YOU CAN’T!
Base 3 means the three parts are .1, .2, 1.0
In base 10 that is .333…, .666…, .999…
So you are saying base 3 1.0 is equal to base 10 .999…
But you know that’s wrong, right? Base 3 1.0 = base 10 1.0.
1 apple in base 3 is exactly the same as 1 apple in base 10.
Erm… that would depend on what time it actually is, wouldn’t it?
If you said it’s 1.5 seconds after 12:00 when it’s actually 1.52535 seconds after 12:00… then yes.
What else have you taught me?
Your post and question while simple and pointless, was tangential to my point and wildly irrelevant.
Consequently I now have the impression that either english is not your native language or potentially you’re intellectually impaired in some way, in which case you have my sympathy…
But word of advise… you might wanna hold off on flexing until you say something actually intelligent… otherwise it just looks like you take pride in your own ignorance.
Anyway… I think I’ve learned all I can from you… have a lovely week.
I seek to illuminate and not confuse, but it seems like your only goal is to confuse. That’s why you’re getting caught up now on the completely insignificant point that 10 in base 3 is equal to 3 in base 10.
Which is why, in my attempt to clarify instead of confuse, I suggest we look at base 6 instead. Base 6 doesn’t have this problem where “3 doesn’t exist”, that’s catching you up in base 3.
In base 6, 3 does exist and it means the same thing as 3 in base 10. 1/3 in base 6 is 0.2, so not an infinite decimal. So you can divide by 3 without producing an infinite decimal.
Quote:
“ 1 apple in base 3 is exactly the same as 1 apple in base 10.”
Really? What size is it?
Is an apple in base three the same size as an apple in base ten?
You were claiming 1.52535 seconds is more precise than saying 1.5 seconds. I’m telling you that you need to learn how to tell time!
1.5 seconds is 100% precise. If I wanted to be more precise then it would be 1.500000000000000000000000000000000000000000000000000000000000000000000000 seconds.
1.52535 seconds is not the same time as 1.5 seconds. Duh? It is TWO DIFFERENT TIMES!
Likewise, adding more decimal places to 3.14 means the circumference is longer. A circumference of 3.14159 is longer than a circumference of 3.14. Just like 1.52535 seconds after 12:00 is later than 1.5 seconds after 12:00.
You are massively confused!
His argument concerns what you are dividing by 3 – it has to be an equivalent to 10[size=55]10[/size]
The problem MD is talking about has nothing to do with bases - changing them doesn’t challenge his argument.
I think it does, but we obviously have very different understandings of what he means even he says you can’t divide 1 by 3.
What’s your understanding? Why does he think you can’t divide 1 by 3? As far as I can tell, the entire reasoning is based on infinite decimals, and that point disappears in another base.
In base 6 the decimals are converted to base 10 as follows:
.1 = .1666…
.2 = .333…
.3 = .5
.4 = .666…
.5 = .8333…
1.0 = .999…
So .2 in base 6 equals .333… in base 10.
Again, base 6 1.0 = base 10 .999…
All you are doing is changing what each decimal position represents in different bases.
You will never be able to divide 1 whole into 3 equal pieces.
You can divide 3 parts into 3 equal pieces, which means each piece is 1.0, but you will NEVER divide 1.0 into 3 equal pieces without having a remainder left over.
But you already said I could divide 1 into 3 equal pieces. You said you “got it” in base 3 when we could divide 1 into 10 equal pieces - in base 3, “10” means the same thing as “3” does in other higher bases.
What did you mean when you said you “got it”? What changed since then?
I mean it is not 1 divided by 3.
Oh my goodness.
Alright.
In any base (unless you’re dealing with the singularity of the number one which has extra mathematical properties)…
You use 1 minus base…
Then you take the equal root of it and slowly subtract…
So… for base 10, this would be 3,6,9…
Repeating decimals all.
Then you take base and subtract the equal root of 1-base… which gives you seven.
Also repeating.
That’s true in every base. Try it.
Of course it is. It’s literally 1 divided by 3. “10” in base 3 literally means 3. That’s how bases work.
You also knew when you said it that it meant that. You knew that 10, in base 3, is the same as the quantity of letters in the following quote: “EEE”. Right? You knew that when you said it