Zero is a real number, not a placeholder.
The set of real numbers includes zero.
The set of real numbers includes all numbers that are not imaginary (negative square roots)
Definition of a negative number:
A number with a value LESS THAN zero
Definition of a non-negative number:
A number with a value GREATER THAN OR EQUAL TO zero
Zero is NOT a negative number since by definition it is non-negative
I don’t understand how negative numbers even exist … they are not a reality they are only created in math.
You cannot have a negative of something
@AJGundam:
I don’t understand how negative numbers even exist … they are not a reality they are only created in math.
You cannot have a negative of something
so all of that debt i had didn’t exist? What the hell was i working so hard to pay off???
Thats perhaps the ONLY time you can use a negative number in the real world……when you are in debt…when you owe someone an amount of something. Other than that…you cant really have a negative number of anything.
temps below freezing are negative numbers
debt is the use of negative numbers
elevation below sea level is a negative
trim plane angles on a submarine can be negative degrees
Lots of usages in the everyday world…
-Temps below freezing are made up…if you use Kelvin which actually measures from absolute zero you cannot get below 0º
-Debt shows how much money you owe someone…you don’t actually have negative money
-elevation below sea level (oxymoron?) is just how far you are below it but putting a negative sign in front of it to show that you are below not above there…you can’t be negative feet above something you are just below it
-no clue what trim plane angles are
Virtually all math is representative.
My point was only to show where those representations are used in every day life.
(and trim plane angle is the slope of the fins on a submarine that help the submarine change depth in the water. A positive trim angle makes the sub rise, a negative angle makes the sub move deeper, unless I have that backward, but you get the idea).
I’m not going to get into a debate about the function of zero with a man who’s highest level of math was maybe Calculus II. Sorry. But you just don’t have the ground work to have the debate. Come back after you take Multilinear Equations and Logic I and II.
Point is, zero has polarity. It’s almost always inconsequential, but for every number and placeholder, there is a mirror image of that number or placeholder - even for zero. It’s just irrellevant until you get to limits, and then it’s limited rellevance and then irrellevant again until you get up to multiple vectors on multiple dimensions/planes. I’m sure there’s math above me where it’s even MORE rellevant.
Math, unlike some other areas of study, will never be complete. There’s always some problem that needs to be fixed, sometimes we do that with imaginary numbers, sometimes with polarity and sometimes with rudimentary and very crude PEMDAS functions.
Zero is the absence of value, therefore not positive or negative - just read what Switch said.
Although, I don’t think there are negative or positive numbers (IMO) - that’s all a point of reference.
Zero is the absence of value, therefore not positive or negative - just read what Switch said.
And in lower level math you can negate the polarity of zero, it actually makes lower level math much simpler and easier for beginning mathematicians to understand. But just because you ignore something does not mean it does not exist.
For instance, 1/x when x=0 is said to be undefined. Technically true. Literally not. y= infinity and negative infinity at that point and so, since a function cannot have two outputs for one imput, they have to figure out WHY it has two outputs. The answer? You had two inputs. +0 and -0. But for algebra and trigonometry and calculus I, II and III it’s much simpler to keep the students from being confused and just tell them that the answer is undefined.
I understand what you’re saying, but I thought that issue was solved with limits ie. like in my earlier post:
lim 1/x = - infinity
x -> 0-
lim 1/x = + infinity
x -> 0+
when x=0:
1/(0) = undefined
So there is actually no value for the function when x=0 (rather than 2 values as you claim).
Or does higher math undo these teachings and replace with new teachings as you claim? dun dun dun!
Higher math explains what exactly is happening with limits of undefined results. It’s less a matter of undoing the teachings as it is expounding on why you were taught that and how to logically arrive at the answer through other, more accurate means.
And in lower level math you can negate the polarity of zero, it actually makes lower level math much simpler and easier for beginning mathematicians to understand. But just because you ignore something does not mean it does not exist.
I don’t ignore it - there is no polarity of zero.
A car in reverse has a negative velocity, a car in drive has a positive velocity. A parked car has no velocity (unless you include it’s velocity on the planet). It has no polarity because it is nothing. Plain & simple.
For instance, 1/x when x=0 is said to be undefined. Technically true. Literally not. y= infinity and negative infinity at that point and so, since a function cannot have two outputs for one imput, they have to figure out WHY it has two outputs. The answer? You had two inputs. +0 and -0. But for algebra and trigonometry and calculus I, II and III it’s much simpler to keep the students from being confused and just tell them that the answer is undefined.
f(X) = 1/X IS undefined. Simply put, X or Y can’t equal zero because 0 /= 1. There are not two outputs for one input (which IS possible, try f(X) = X2) - just look at the graph! Zero is absolute - you either have nothing, or you have something.
Jermo, talk to me when you get into higher level math.
This board does not have support for the appropriate symbology for me to demonstrate just how clueless you are when it comes to pure, logical mathematics. At very low level calculus and low level physics, yes, you may ignore the polarity of zero. Sometimes logic dictates that zero has no polarity. Just like sometimes logic dictates your answer to the question of the velocity of a baseball thrown by a man on planet earth. Obviously that is going to be bound by 0 < X < 300 miles per hour. So any answer you get over 300 miles per hour just isn’t going to make mathematical sense for THAT problem. Does that mean 400 miles per hour does not exist? Of course not!
Jermo, talk to me when you get into higher level math.
This board does not have support for the appropriate symbology for me to demonstrate just how clueless you are when it comes to pure, logical mathematics. At very low level calculus and low level physics, yes, you may ignore the polarity of zero. Sometimes logic dictates that zero has no polarity. Just like sometimes logic dictates your answer to the question of the velocity of a baseball thrown by a man on planet earth. Obviously that is going to be bound by 0 < X < 300 miles per hour. So any answer you get over 300 miles per hour just isn’t going to make mathematical sense for THAT problem. Does that mean 400 miles per hour does not exist? Of course not!
I’m ready to listen, but apparently you aren’t ready to explain it. What the hell does the baseball velocity have to do with the polarity of zero?
Here’s a fun one for ya, Jen.
A negative times a negative = a positive
A positive times a positive = a positive
A negative times a positive = a negative
A positive or negative times zero = ?
What is it Jen? I can guarantee you that even if a “positive” or “negative” zero exists, the answer is still the same.
Depends on the rest of the question. Are you ONLY talking about +0 and -0?
Which is first? -0 or +0? Yes it makes a difference. I won’t answer until you tell me WHY it makes a difference. I get paid GOOD money for this information, so I don’t want to give it free to a person who either won’t understand it or won’t appreciate it.
Depends on the rest of the question. Are you ONLY talking about +0 and -0?
I’m not indicating that there is a positive or negative 0.
Which is first? -0 or +0? Yes it makes a difference. I won’t answer until you tell me WHY it makes a difference. I get paid GOOD money for this information, so I don’t want to give it free to a person who either won’t understand it or won’t appreciate it.
Fine. You can be stubborn if you want. I’m waiting for proof of your claim of a polar zero. I still deny it. And until you show proof - which I doubt you will - I will remain unconvinced. I won’t hold my breath though.
I cited sources. If that’s not good enough for you, then tough tiddlywinks. The mathematical community has come to “consensus” that there is polarity on zero.
You catch more flies with honey than vinegar, Jen.
You don’t do yourself much service by telling everyone how much more advanced you are in Math than them, then refusing to even try to explain a concept to willing listeners who don’t understand how you are correct. And citing sources is even worse, because if its such advanced math, they have less chance of understanding it in a textbook then from another who understands it and can explain things to them.
Don’t explain it if you don’t want, but you come off as an arrogant jerk, IMO.
I tried to simplify it so most people could understand it. I don’t really get into theoretical mathematics for that reason. At least not on this board. But after you put forth sources and one person continually demands sources from you on the same thread, same topic, you just get to the point of not caring.
I’m not saying he’s an ignoramous. I’m just saying he has not dedicated years of his life and tens of thousands of dollars to the study of high level mathematical equations and functions. How am I supposed to have a high level discussion about it with him? I tried to make it a lower level discussion, but when you do that, you do lose a lot in transition. Though, I made a valiant attempt. It’s just difficult when people have been telling you something completely different so as not to confuse you and then have someone present the facts without the blinders placed on them.
Anyway, a three year story turned into one line:
Zero has polarity. This polarity is normally so trivial as to be ignored in 99.9% of the instances zero appears (or more.) However, just because it’s trivial does not mean it does not exist.
