Is there a difference between undefined limits and non-existent limits?

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In summary, "undefined" in science refers to a value or concept that is not clearly defined or has no specific meaning in a given context. While in theory, some things may have no limit in science, in practice, most things have some sort of limit or constraint. This idea can both present challenges and opportunities in scientific research, as it can lead to new discoveries and breakthroughs, but also create limitations and uncertainties. However, the concept of "undefined" or "no limit" can also be used in a positive way, inspiring curiosity and encouraging out-of-the-box thinking in scientific exploration.
  • #1
BloodyFrozen
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Is there any difference between a limit that is undefined and a "does not exist"?

From what I think,

Undefined means it approaches +/- infinity (asymptotes) or a cusp, etc.

Does not exist- RHS≠LHS

Is this correct?
 
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  • #2
No. "undefined" and "does not exist" mean exactly the same thing.

Going to +/- infinity is just particular ways in which a limit may not exit.
 
  • #3
Ok, thanks for clarification.
 

1. What does "undefined" mean in science?

"Undefined" in science typically refers to a value or concept that is not clearly defined or has no specific meaning in a given context. It may also refer to a lack of understanding or knowledge about a particular phenomenon.

2. Can something truly have "no limit"?

In theory, there may be certain concepts or phenomena that have no known limit or boundary. However, in practice, most things in science have some sort of limit or constraint, whether it be physical, mathematical, or conceptual. The idea of something having "no limit" is often used as a theoretical or hypothetical concept rather than a concrete reality.

3. What are some examples of "undefined" or "no limit" in science?

Examples of "undefined" or "no limit" in science may include the infinite nature of the universe, the concept of absolute zero in temperature, or the potential for infinite divisibility in mathematics.

4. How does the concept of "undefined" or "no limit" impact scientific research?

The idea of "undefined" or "no limit" can be both a challenge and an opportunity for scientific research. On one hand, it can lead to new discoveries and breakthroughs as scientists push the boundaries of what is known. On the other hand, it can also create limitations and uncertainties that must be addressed in order to advance scientific understanding.

5. Is the concept of "undefined" or "no limit" ever used in a positive way in science?

Yes, the concept of "undefined" or "no limit" can be used in a positive way in science. It can inspire curiosity and drive scientists to explore uncharted territories. It can also help scientists to think outside the box and challenge traditional assumptions or limitations.

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