- #1
JPC
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hey
in advanced maths , does +infinity and -infinity join at some point ?
a bit like if the axis was a cilinder
in advanced maths , does +infinity and -infinity join at some point ?
a bit like if the axis was a cilinder
You're thinking of the extended real line; the Stone-Cech compactification is immensely more complicated.HallsofIvy said:For example, there is a perfectly valid method, called the "Stone-Czek compactification" that makes the real numbers topologically (geometrically) equivalent to a finite interval (but arithmetic doesn't work). In that case, +infinity and -infinity are distinct.
Infinity is a mathematical concept that represents something without any limit or end. It is often denoted by the symbol ∞ and is used to describe a quantity that is larger than any real or imaginable number.
Negative infinity, denoted by -∞, is the concept of a number that is smaller than any real or imaginable number. It is often used in mathematics to represent values that tend towards negative infinity, such as negative slopes in calculus.
No, infinity cannot be divided by infinity. This is because infinity is not a number, it is a concept. Dividing by infinity does not give a meaningful answer and is considered mathematically undefined.
Yes, there are different sizes of infinity. This concept is known as cardinality and was first introduced by mathematician Georg Cantor. For example, the infinity of all real numbers is larger than the infinity of all integers.
Infinity is used in various fields of science, such as physics, astronomy, and chemistry. It allows scientists to describe and understand concepts that have no limit or end, such as space, time, and the universe. It is also used in complex mathematical equations and calculations.