Question

Can you draw a number line without 0 ?

Answer 1

Why?

Answer 2

http://prntscr.com/b6y69f

Answer 3

I stumbled upon bc/ad system which doesn't use 0. I'm just wondering how a number line looks without 0 hmm

Answer 4

may you show me the problem?

Answer 5

meme, I think the spacing between -1 and +1 should be same as other spacings as the number +1 follows immediately after -1

Answer 6

okayy i interpreted your problem in another way :P

Answer 7

https://en.m.wikipedia.org/wiki/Anno_Domini

Above links talks about how +1 follows -1 in bc-ad calendar system mira

Answer 8

Oh, I see. Yes there are many cases in which people do not use the 0 for counting - for example, the first floor, the second floor.. in a building where is the zero floor?

Answer 9

But bc-ad system uses negative numbers

Answer 10

so does floors - B1,B2, B3, etc

Answer 11

Yes it does. We usually talk about some ancient civilization at 5000 yrs bc which is just -5000 ac

Answer 12

in the am/pm zones there's no such thing as the 0:00
it goes from 12:59 to 1:00

Answer 13

Interesting... computers aside, it seems we can do math perfectly fine without 0

Answer 14

well, that's not true you may remember that the computer works in binary.. so everything is made with 0 and 1

Answer 15

But the family numbers doesn't take into account 0! for example the pope
francisco 1 no one was Francisco 0 lolzy

Answer 16

And the directions..sometimes you drop from street 1 to street 1 south not 0 street

Answer 17

or the Channel 0 in tv :D

Answer 18

we are still using 0... we need an additive identity lol

Answer 19

Mira any more examples left? :3

Answer 20

Yes, you're never 0 yrs old.

Answer 21

Moneywise 0 makes sense. When you're broke!

Answer 22

You never have 0 cents.

Answer 23

As far as I know, topologically speaking, there is nothing particularly interesting about the number line without 0: it would just be equivalent (homeomorphic) to two disjoint open intervals or equivalent to two (disjoint) number lines. On the other hand, in topology, it is possible to construct the number line which has a double origin! As far as I know, it's not very useful and applicable to real life but it's still very cool, haha: http://blogs.scientificamerican.com/roots-of-unity/a-few-of-my-favorite-spaces-the-line-with-2-origins/

Answer 24

I think perhaps @ganeshie8 is touching upon this: It occurred to me that distance between, say 2 and 3 should be the same as the distance between 1/2 and 1/3 because when you take the reciprocal of the number line, everything greater in size than 1 gets inverted and "squished" into the interval between -1 and 1, while everything between -1 and 1 gets "expanded" to fill almost the whole number line... which seems disproportionate! So if we think that way, then our normal Euclidean metric does not fit very well with this idea. I was thinking of a metric such that if \(x,y > 1\), then \(d(x,y)=d(\frac 1 x, \frac 1 y)\), where \(d()\) is a metric (i.e. distance function). Suprisingy, if we take \(d(x,y)=|\arctan(x + y)|\), then this distance function satisfies this property! I wonder if this metric is ever used anywhere.

Answer 25

Oh, actually, I'm not right with my distance function. I remember it had something to do with tan though :P

Answer 26

<< Can you draw a number line without 0 ? >>

so in the first step we need deciding - what is ,what mean ,,zero" ?

zero is equal ,,origo"
zero is the end point of negativ numbers and the start point of real positiv numbers
zero is the first naturale number or ...
zero is just the start point of natural numbers

so what is true about zero ?

Answer 27

Oh, I seem to remember the distance function is \(d(x,y)=|\arctan(x)-\arctan(y)|\)