The tenth digit

HungLikeJesus • Mar 18, 2008 4:43 pm
How many of you are comfortable with our current counting system? You know, 1,2,3,4,5,6,7,8,9,10, etc.

This is something that's been drilled into us for so long that it seems normal, natural, not to be questioned. And what's wrong with that?

Here's an example. Get a sharpie, or other permanent marker. Starting with the pinkie of the left hand, number each of your fingers, including the thumbs. Left pinkie - 1. Left ring finger - 2. And so on. Left thumb - 5, right thumb - 6...

What happens when you get to your right pinkie? Right pinkie is 10 - that takes two digits! It's just not right.

There are other problems with the number 10, and its multiples. For example, most people think that 20 is the bottom of the twenty series. It's not - it's the top of the teens. And 30 is the top of the twenties. It's crazy. But what can we do?

I would suggest that we adopt a single digit representing 10. What will we call it? How about ten? What should it look like? Maybe this: þ. It's like a 1 and 0 combined into one digit.

With the new digit þ we can almost completely eliminate use of the dreaded zero (but not completely).

Counting in new digit is almost the same as counting in old digit:
1,2,...,9,þ, 11, 12, ... ,19,1þ (tenteen), 21, ..., 29, 2þ (twenty-ten), 31

Counting in old digit, we have 9 one-digit numbers, 90 2-digit numbers, 900 3-digit numbers, etc.

Counting in new digit, we will have 10 1-digit numbers, 100 2-digit numbers (from 11 to þþ), and so on.

Doesn't that just feel right?

Rather than present derivation of decimals and negative numbers, I'll leave those as exercises for the reader.
Flint • Mar 18, 2008 5:09 pm
I think of the first ten digits as 0 through 9, with 9 being the 10th single-digit number.

But this does remind me of something that bothers me: Sunday is the END of the week. NOT the beginning. Monday morning, when you clock in at work, is the beginning of the week for most people. Sunday is the last day in the weekend, which is the very last part of the week. Monday begins the next week. [COLOR="White"]. . .[/COLOR] It's stupid to have calendars arranged with Sunday as the beginning of the week.
SteveDallas • Mar 18, 2008 5:14 pm
HungLikeJesus;439693 wrote:
It's just not right. . . It's crazy.

Speak for yourself. I can calculate in any base you care to name. Our current system for representing numbers[size=1]*[/size] with numerals[size=1]*[/size] according to place values is flexible enough to accommodate this. Are the numerals customarily used to represent individual digits arbitrary? Of course. Duh.

What comes after 9þ?

HungLikeJesus;439693 wrote:
Rather than present derivation of decimals and negative numbers, I'll leave those as exercises for the reader.

No, I want to see you do decimals.

[size=1]*[/size]Yes, there's a difference between numbers and numerals.
HungLikeJesus • Mar 18, 2008 5:14 pm
But you wouldn't count something beginning with zero, would you? You always start with one.
Flint • Mar 18, 2008 5:17 pm
SteveDallas;439706 wrote:
Are the numerals customarily used to represent individual digits arbitrary?
No. We have ten clumps of neurons that represent the ten digits. They study stroke and brain injury patients to see what they "lose" when certain parts of the brain are damaged. The ten digits reside just above and slightly behind your ear.
Flint • Mar 18, 2008 5:20 pm
HungLikeJesus;439707 wrote:
But you wouldn't count something beginning with zero, would you?
Yes, I would. My workstations, servers, the drives in my tape libraries, etc. all begin their respective naming conventions with device zero.
monster • Mar 18, 2008 5:24 pm
Starting out with nothing makes you stronger.
HungLikeJesus • Mar 18, 2008 5:25 pm
SteveDallas;439706 wrote:
Speak for yourself. I can calculate in any base you care to name. Our current system for representing numbers[SIZE=1]*[/SIZE] with numerals[SIZE=1]*[/SIZE] according to place values is flexible enough to accommodate this. Are the numerals customarily used to represent individual digits arbitrary? Of course. Duh.

What comes after 9þ?


No, I want to see you do decimals.

[SIZE=1]*[/SIZE]Yes, there's a difference between numbers and numerals.


Logically, after 9þ (ninety-ten) comes þ1 (tenty-one).

Decimals are a lot of fun, and the representation changes depending on degree of accuracy indicated (i.e. number of significant figures).

1.5 is still 1.5, but 1.50 becomes 1.4þ and 1.500 becomes 1.49þ

In this way, we know that we really mean three or four significant figures, and are not just writing down what the calculator or spreadsheet gives us (I see this error all the time). Of course, there's still plenty of room for human error.
Flint • Mar 18, 2008 5:26 pm
monster;439715 wrote:
Starting out with nothing makes you stronger.
I think that's a brilliant and creative statement in response to this subject.
HungLikeJesus • Mar 18, 2008 5:27 pm
Flint;439710 wrote:
Yes, I would. My workstations, servers, the drives in my tape libraries, etc. all begin their respective naming conventions with device zero.


So your first child is really child number zero?
Flint • Mar 18, 2008 5:30 pm
:::head explodes:::
milkfish • Mar 18, 2008 5:35 pm
HungLikeJesus;439720 wrote:
So your first child is really child number zero?


No, my zeroeth child is child number zero. And a model tyke he/she is, never any discipline trouble after all, and so easy to please.

But my zeroeth wife, she was hard to get along with.
HungLikeJesus • Mar 18, 2008 5:55 pm
monster;439715 wrote:
Starting out with nothing makes you stronger.


Some crazy people say first floor when they mean one up from ground level, so I guess that would make sense to them.
Happy Monkey • Mar 18, 2008 6:05 pm
HungLikeJesus;439707 wrote:
But you wouldn't count something beginning with zero, would you? You always start with one.
Unless you don't have any.
SteveDallas • Mar 18, 2008 6:09 pm
HungLikeJesus;439717 wrote:
Logically, after 9þ (ninety-ten) comes þ1 (tenty-one).

What comes after þþ?
HungLikeJesus;439717 wrote:
Decimals are a lot of fun, and the representation changes depending on degree of accuracy indicated (i.e. number of significant figures).

1.5 is still 1.5, but 1.50 becomes 1.4þ and 1.500 becomes 1.49þ

In this way, we know that we really mean three or four significant figures, and are not just writing down what the calculator or spreadsheet gives us (I see this error all the time). Of course, there's still plenty of room for human error.

I'm speechless. Help me out here, what's 0.1? 0.01?

Why does the concept of zero bother you so much?
HungLikeJesus • Mar 18, 2008 6:14 pm
SteveDallas;439746 wrote:
What comes after þþ?

I'm speechless. Help me out here, what's 0.1? 0.01?

Why does the concept of zero bother you so much?


After þþ comes 111.

0.01 is still 0.01, and so on. We still need zero.

What, then, is 1.01? (think of 101/100 to get the correct answer)
Aliantha • Mar 18, 2008 6:21 pm
You don't start counting at zero because zero represents nothing. You start from nothing, and the first thing you count is 1, then if you have another thing, you have 2 etc. Zero is more than just a number. It's a state of mind. ;)

Start from nothing to move on to something.
HungLikeJesus • Mar 18, 2008 6:24 pm
Very zen.
Clodfobble • Mar 18, 2008 7:21 pm
HLJ, it looks like all you're really doing is trying to count in base 11. Just replace þ with A.
HungLikeJesus • Mar 18, 2008 7:29 pm
I'm not changing bases, just representation of digits. If I was using base 11, than 11 would be 12 and we'd still have a 10. Wouldn't we?
lumberjim • Mar 18, 2008 8:18 pm
nerds!

[youtube]C3njjD41f48&hl[/youtube]
lumberjim • Mar 18, 2008 8:22 pm
...UH.....
monster • Mar 18, 2008 8:33 pm
you bastard! I lost my 10th digit on 9/11 at the WTC

Image

:cry:
binky • Mar 18, 2008 8:53 pm
honestly HLJ I think you need a hobby
SteveDallas • Mar 18, 2008 9:17 pm
HungLikeJesus;439750 wrote:
0.01 is still 0.01, and so on. We still need zero.

Bullshit. You've gone to positively pathological lengths to get rid of zero on the left side of the decimal. Let's see some consistency.

HungLikeJesus;439750 wrote:
What, then, is 1.01? (think of 101/100 to get the correct answer)

You just said .01 is .01, so 1 plus .01 is 1.01. (Unless you're going to define the addition operation differently than usual.)
Shawnee123 • Mar 19, 2008 9:10 am
First you try to get rid of Mondays, now you're booting the zero. What next, no oxygen? ;)
SteveDallas • Mar 19, 2008 10:41 am
Shawnee123;439931 wrote:
First you try to get rid of Mondays, now you're booting the zero. What next, no oxygen? ;)

Well, the symbol is O, which look suspiciously like 0 . . . .
Shawnee123 • Mar 19, 2008 10:47 am
:eek: Good point.

:unsure:
HungLikeJesus • Mar 19, 2008 11:10 am
SteveDallas;439792 wrote:
Bullshit. You've gone to positively pathological lengths to get rid of zero on the left side of the decimal. Let's see some consistency.


You just said .01 is .01, so 1 plus .01 is 1.01. (Unless you're going to define the addition operation differently than usual.)


1.01 is 101/100. 101 becomes þ1, so 1.01 becomes 0.þ1

2.01 becomes 1.þ1, just as 201 becomes 1þ1

I'm not trying to get rid of zeros, they just drop out. I love zeros. But we could get rid of leading zeros by using exponential notation, if you like.



binky;439790 wrote:
honestly HLJ I think you need a hobby


Maybe implementing new decimal will be my hobby. This and the prime number thing. And getting rid of Mondays. And trying to make sense of tw.

Are any of these things possible? Probably not.
Clodfobble • Mar 19, 2008 1:56 pm
HLJ wrote:
1.01 is 101/100. 101 becomes þ1, so 1.01 becomes 0.þ1


So what is .101 then? :confused:
HungLikeJesus • Mar 19, 2008 2:36 pm
Clodfobble;440029 wrote:
So what is .101 then? :confused:


.101 = 0.0þ1

or þ.1e-2
xoxoxoBruce • Mar 20, 2008 12:06 am
You spend our tax money, doncha.
HungLikeJesus • Mar 20, 2008 11:48 am
Yes, I put it in the tip mug.
Clodfobble • Mar 20, 2008 12:16 pm
Unfortunately, PayPal doesn't recognize special characters, so UT will never see his $þ.
spudcon • Mar 22, 2008 12:10 am
:pEasy solution. Don't write numbers on your fingers with a sharpie. Hey, wait! Why do they call it a sharpie? You can't cut yourself with it.
xoxoxoBruce • Mar 22, 2008 12:14 am
I've met a lot of "sharpies", that couldn't cut it.
HungLikeJesus • Mar 27, 2008 12:44 pm
Flint;439703 wrote:
I think of the first ten digits as 0 through 9, with 9 being the 10th single-digit number.

But this does remind me of something that bothers me: Sunday is the END of the week. NOT the beginning. Monday morning, when you clock in at work, is the beginning of the week for most people. Sunday is the last day in the weekend, which is the very last part of the week. Monday begins the next week. [COLOR=White]. . .[/COLOR] It's stupid to have calendars arranged with Sunday as the beginning of the week.


If you go to your User CP and select "Edit Options" / "Date and Time Options" you can set the start of the week to any day you like.

I have mine set for Wednesday.
SteveDallas • Mar 27, 2008 3:56 pm
I don't why I'm encouraging the continuing existence of this thread :headshake but in at least some European countries the calendar does start with Monday.
DanaC • Mar 27, 2008 9:16 pm
Depends on the calendar over here. Mine starts on a monday, but there are some that start sunday.
Razzmatazz13 • Mar 27, 2008 10:36 pm
My work week starts on saturday...
HungLikeJesus • Mar 28, 2008 4:10 pm
SteveDallas;442031 wrote:
I don't why I'm encouraging the continuing existence of this thread :headshake but in at least some European countries the calendar does start with Monday.


But SteveDallas, this is probably the most original and thought-provoking thread in the entire Nothingland forum.
SteveDallas • Mar 28, 2008 10:40 pm
Um.
Pete Zicato • Oct 25, 2010 1:00 pm
Flint;439703 wrote:

But this does remind me of something that bothers me: Sunday is the END of the week. NOT the beginning. Monday morning, when you clock in at work, is the beginning of the week for most people. Sunday is the last day in the weekend, which is the very last part of the week. Monday begins the next week. [COLOR="White"]. . .[/COLOR] It's stupid to have calendars arranged with Sunday as the beginning of the week.

The calendars I actually use (and, I bet, the calendars you actually use) have an option to set the first day of the week.

You're ranting about an obsolete technology (paper calendars).
Flint • Oct 25, 2010 1:28 pm
Your face is an obsolete technology.
Shawnee123 • Oct 25, 2010 1:32 pm
The calendars I actually use (and, I bet, the calendars you actually use) have an option to set the first day of the week.

You're ranting about an obsolete technology (paper calendars).

Give him a break. The Amish don't have all those new-fangled devices like we have.
Trilby • Oct 25, 2010 1:33 pm
Shawnee123;690330 wrote:
Give him a break. The Amish don't have all those new-fangled devices like we have.


Plus, Flint is crazy.
HungLikeJesus • Oct 25, 2010 1:43 pm
Crazy never seems to go out of style.
Pete Zicato • Oct 25, 2010 2:24 pm
Flint;690328 wrote:
Your face is an obsolete technology.

Your dick is a null pointer.
jimhelm • Oct 25, 2010 2:34 pm
that sounds a little cocky
Flint • Oct 25, 2010 3:05 pm
The 11th digit.
Shawnee123 • Oct 25, 2010 3:06 pm
We should ask Alice. Digit Alice. She would know.
SteveDallas • Oct 25, 2010 3:42 pm
Sweet Jeebus, I can't believe this thread got dredged up from its well-deserved resting place.
BigV • Oct 25, 2010 5:04 pm
HungLikeJesus;690332 wrote:
Crazy never seems to go out of style.


true....

but it would be nice if it got out of the house from time to time though.
HungLikeJesus • Oct 25, 2010 10:18 pm
SteveDallas;690349 wrote:
Sweet Jeebus, I can't believe this thread got dredged up from its well-deserved resting place.


Lack of the tenth digit has held back implementation of the metric system in the US for far too long.
xoxoxoBruce • Oct 25, 2010 11:40 pm
Why stop with numbers?
GunMaster357 • Oct 26, 2010 5:58 am
For those who want to learn about numbers and their history, I recommend this book: "The Universal History of Numbers" by Georges Ifrah

It makes a very interesting reading.
GunMaster357 • Oct 26, 2010 6:00 am
And in the way of humor:

Q: How do you call a redneck that is able to count up to twenty?









A: Barefoot
BigV • Oct 26, 2010 11:52 am
HungLikeJesus;690415 wrote:
Lack of the tenth digit has held back implementation of the metric system in the US for far too long.


Spoken like a true politician!

Brilliant!

Note how succinct his claim is. Note the rational tone of voice. Note the appeal to patriotism with his understated implication that the US is suffering. He missed slightly in this part by suggesting it was the metric system that was held back, not the US being held back. Plus the metric system is kind of "foreign" and serves better as a natural enemy than as an asset. Note the implication of urgency with the phrase "far too long".

Aren't you moved? Somewhat alarmed? Wouldn't you nod your head in agreement with the rest of the crowd of supporters? You would and you might not even notice it.

Also please note the complete absence of reason. Factual truth is INconspicuously absent from this statement. But you might vote for it anyhow because "that right! that sounds right to me!". This happens all the time.
xoxoxoBruce • Oct 26, 2010 11:57 am
I'd venture the tenth digit, "is kind of 'foreign' and serves better as a natural enemy than as an asset".
BigV • Oct 26, 2010 12:23 pm
Sure!

That's fine, that's great. I (HLJ) just want(s) you nodding along, and for that momentum to be carried over into the voting booth.
xoxoxoBruce • Oct 26, 2010 12:26 pm
Karl Rove told me HLJ is the pinnacle of truth, justice, and family values.
HungLikeJesus • Oct 26, 2010 8:59 pm
That's why I could never be a Cellar moderator.
HungLikeJesus • Oct 26, 2010 9:01 pm
BigV;690505 wrote:
Spoken like a true politician!

Brilliant!

Note how succinct his claim is. Note the rational tone of voice. Note the appeal to patriotism with his understated implication that the US is suffering. He missed slightly in this part by suggesting it was the metric system that was held back, not the US being held back. Plus the metric system is kind of "foreign" and serves better as a natural enemy than as an asset. Note the implication of urgency with the phrase "far too long".

Aren't you moved? Somewhat alarmed? Wouldn't you nod your head in agreement with the rest of the crowd of supporters? You would and you might not even notice it.

Also please note the complete absence of reason. Factual truth is INconspicuously absent from this statement. But you might vote for it anyhow because "that right! that sounds right to me!". This happens all the time.


Excellent commentary. It must be election season.