Ok I'm getting annoyed with people saying 0/0 is infinite. Zero groups of nothing equals well nothing. Yes on a graph it is -infinite and +infinite because how would you graph nothing? Or people saying that anything times zero equals so 0/0 can't be true. Because 0/0= (0)(x)=0. Well explain this then. If 0x1=0 and 0x2=0 then does 1=2?
The thing with limits is, it never reaches the value, it just approaches it.
Well... kind of. Actually, no.
Consider the limit
lim 0x + 2 x->2
The value obtained is constantly two, for any x. Therefore, the limit exists, and is equal to two.
Basically, any sequence whose "tail" (the part of the sequence after some point) is constant, will not only have a limit, but will actually "reach" that value.
approaching infinity is an expression that says that the successive values get larger an larger w/o a ceiling... they do infinitely get larger so to speak... but they only ever approach whatever the limit is. there is a specified/determinable ceiling. I can't see how something can approach actual infinity w/ anything other than infinity itself being the "ceiling"
we're arguing semantics... but btw 2 points there are in fact an infinite number of other points... as the in between only ever approaches either cap infinitely. u could say the number of values approaches an infinite number of values... and do some word play there. but to actually go into and approach infinity you have to get passed the number 2. i'm talking not of the number of points in between two specified points, but of the actual value that is being approached. they're somewhat related but different concepts.
honestly...i tried reading that... and all i got was confused and turned around w/ the end result being "wth did i just read???"... could you dumb it down for me?
In a way you can consider that all rational numbers are arranged in ascending order, with smaller ones to the left and larger to the right. Now, if you "cut" this ordered arrangement you may "cut" through it at a point which lies between two rational numbers. This point would be defined as an irrational number. Thus, this collection is a set of all real numbers.
^^Math isn't something you can create. It was used by the earlkiest cavemen and probably some animals to do things like count the number of people in his tribe or how many deer were killed.
Math isn't something you can create. It was used by the earlkiest cavemen and probably some animals to do things like count the number of people in his tribe or how many deer were killed.
Well actually it is a human construct. Like I said earlier, mathematics is a human construct build on axioms defined by humans. Here's an article about it.
Wolfram suggests that we âdeconstruct mathematicsâ by recognizing that all our mathematics are based on a certain set of axioms, which are quite simple. âBut thereâs a whole universe of possible mathematics out there,â he states. âWhat are they like? And where does our particular mathematics lie in this universe of possible mathematics? Is it possible mathematics number one? Is it possible mathematics number 10? Is it possible mathematics number quintillion? ⦠The answer depends on exactly how you enumerate the space. But roughly, our mathematics is about the 50,000th possible axiom system. So right there in the universe of possible axiom systems, the universe of possible mathematics, thereâs logic.â
Nobel laureate Frank Wilczek tells me that mathematics is both invented and discovered,â but he thinks âitâs mostly discovered.â Mathematics, he says, âis the process of taking axioms, definite sets of assumptions, and drawing out the consequences. So, devising axioms is invention, and drawing out the consequences is discovery.â He explains that, âOccasionally, you have to introduce new sets of axioms like the passage from Euclidean geometry to non-Euclidean geometry. These are epical events in mathematics, which, in a sense, are inventions.â
Well explain this then. If 0x1=0 and 0x2=0 then does 1=2?
To answer the original question: Okay when you are multiplying you have so many groups of a number. An example would be 5x6. That is read as 5 groups of 6, which is 30.So, 0x1 is read as zero groups of one and 0x2 is read as zero groups of 2. Well, if you have zero groups of something you have nothing. That is why both of those equations equal zero. However 1 does not equal 2, that is why they are different numbers.
It is also important to remember that there are actually only 9 numbers. Zero is a place holder(represents nothing). So any number after 9 is "made up" if you will. Any number after 9 is constructed of these base numbers. So, 10 is one set of 9 and nothing. 11 is one set of 9 and 1, and so on. All math is based on the same set of basic principles. Until you reach calculus, which is completely illogical because it is based on the belief that the universe can be split into smaller and smaller parts infinitely, which it can't.
Until you reach calculus, which is completely illogical because it is based on the belief that the universe can be split into smaller and smaller parts infinitely, which it can't.
So, the construct of real numbers and complex numbers is irrelevant?
