Logical Implication versus Approaches

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The discussion highlights the potential confusion between the symbols for logical implication and mathematical approaches, both represented by "→." It is noted that context usually clarifies which meaning is intended, as the "approach" symbol appears in specific mathematical contexts like limits. The logical implication symbol is primarily used within logic, while the symbol "⇒" is often preferred in broader mathematical applications. The conversation suggests that understanding the context is key to distinguishing between the two uses. Overall, clarity in mathematical communication relies on contextual cues.
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Both the logical implication and approaches use the same symbol. Have the two ever been famously confused? Is it implied that one or the other only be used in a specific context?

logical
p --> q

approaches
x --> positive infinity
 
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Noxide said:
Is it implied that one or the other only be used in a specific context?
hehe, nice pun.

I don't think it would ever be hard to tell from the context which one is used. The "approach" symbol is used in specific sentences like "f(x)-> f(a) if x-> a", or under the \lim symbol.

Furthermore, the logical implication symbol \to is mostly used in the specific area of logic. In other areas of mathematics one often uses \Rightarrow for an implication.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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