Understanding Infinity: How Does It Impact Mathematics and Reality?

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Infinity is primarily a concept rather than a number, often leading to paradoxes and undefined results in mathematical equations. Discussions highlight that operations involving infinity, such as subtraction or multiplication, typically yield undefined outcomes or reinforce the idea that infinity does not behave like finite numbers. Real-world implications of infinity, such as the potential for infinite time or space, are debated, with some arguing that these concepts lack observational support. The conversation emphasizes the need to approach infinity with caution in both mathematics and physics, as it can complicate theories and lead to contradictions. Ultimately, infinity serves as a crucial yet challenging concept in understanding both mathematics and reality.
  • #31
MightyKaykoher said:
Infinite occurs in real life. Look up the definition of infinity on Wikipedia. ;

You must be reading a different Wikipedia definition that the one I saw, since the one I saw does NOT say that.

You keep refusing to actually give any meaningful example of what you think is infinite in the real world. This is getting old.
 
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  • #32
MightyKaykoher said:
Infinite occurs in real life. Look up the definition of infinity on Wikipedia. ;

You mean this?

In physics, approximations of real numbers are used for continuous measurements and natural numbers are used for discrete measurements (i.e. counting). It is therefore assumed by physicists that no measurable quantity could have an infinite value,[citation needed] for instance by taking an infinite value in an extended real number system, or by requiring the counting of an infinite number of events. It is for example presumed impossible for anybody to have infinite mass or infinite energy. Concepts of infinite things such as an infinite plane wave exist, but there are no experimental means to generate them.[citation needed]
Emphasis added.
 
  • #33
MightyKaykoher said:
Infinite occurs in real life. Look up the definition of infinity on Wikipedia. ;
The noun is infinity. Infinite is an adjective. Please get it straight.

As the original question has been asked and answered I am closing this thread.
 

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