Can Math Truly Transition from Finite to Infinite?

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The discussion centers on the challenge of understanding how mathematics can transition from finite to infinite values. Participants express confusion about the concept of infinity, noting that reaching infinity seems impossible and may blur the lines between mathematics and philosophy. The conversation highlights the notion that infinity is a mathematical concept, similar to negative numbers, yet it remains difficult for some to grasp. There is a call for clarity on how mathematical principles can accommodate the idea of infinity. Ultimately, the thread emphasizes the complexity of comprehending infinity within the framework of mathematics.
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I’m having a hard time understanding how something can go from finite to infinite. I don’t know math that can meet up to that task: if you can briefly talk about it.

The task of going from finite to infinite would require reaching the infinite… which is impossible. But for some reason my mind doesn’t accept this. In a way can math go from finite to infinite? It seems like past that it begins to be philosophy.

I’m posting this on a math form partly because I’m too early on in math to fully determine anything about infinity. Hoping you guys can put it in words… other than that it’s futile as of this point. If you believe this is better off in the philosophy room… tell me and I’ll merely move it.
 
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Well, it's not like something is finite and then just reaches some value that is deemed high enough to be infinite. Infinity is a concept, just like negative numbers. How can you accept negatives so easily, and not infinity?
 
How do negatives have anything to do with infinity?
 
Opoint said:
How do negatives have anything to do with infinity?

it is a mathematical concept, as he said.
 

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