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Thallium
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I have heard that today's mathematicians are discussing what zero really is. Are there any good resources on this on the net?
Originally posted by Thallium
I have heard that today's mathematicians are discussing what zero really is.
Originally posted by Thallium
Where I heard of it? A long time ago on a TV programme about science. There was a Denish professor in maths there. I believe this has to do with finding a different of calculation in maths.
Originally posted by quartodeciman
limx->af(x)/g(x), where limx->ag(x)=0. They want to use as a general rule
limx->af(x)/g(x) = limx->af(x)/limx->ag(x)
, but it won't work. The problem lies in the theory of limits, not in the meaning of zero.
Originally posted by Thallium
I have heard that today's mathematicians are discussing what zero really is. Are there any good resources on this on the net?
Originally posted by deda
On the other hand infinity is the point of extreme chaos.
These are about functions and limits. I try to express in general terms what some people puzzle over specifically. For example: what happens to 1/x as x goes to 0. Well, you get 1/.1. 1/.01, 1/.001 and so on and these are 10, 100 1000 and so on. In view of this, many conclude that 1/0 is infinite. Other cases get more complicated.Originally posted by quartodeciman
limx->af(x)/g(x), where limx->ag(x)=0. They want to use as a general rule
limx->af(x)/g(x) = limx->af(x)/limx->ag(x)
, but it won't work. The problem lies in the theory of limits, not in the meaning of zero.
The philosophy of zero in mathematics is rooted in the idea of nothingness and the absence of quantity. It is a fundamental concept that allows for the creation of the decimal system and advanced mathematical operations.
The concept of zero allows for the representation of empty space or absence of a quantity, which is essential in various mathematical operations and problem-solving. It also enables the creation of negative numbers and the understanding of infinity.
The concept of zero has a significant role in the history of mathematics. It was first introduced by Indian mathematicians and later adopted by other civilizations, leading to the development of the decimal system and advanced mathematical concepts.
Zero is used extensively in modern mathematics and technology. It is a critical component in computer programming, data representation, and advanced scientific calculations. It also plays a significant role in fields such as physics, engineering, and economics.
Yes, there are ongoing philosophical debates surrounding the concept of zero in mathematics. Some argue that zero is not a real number and is simply a placeholder, while others believe it holds a deeper philosophical meaning and represents the concept of nothingness.