Yesterday, I had my Formal Verifications exam. While studying, I came across a particularly tough natural deduction problem. Intuitively, it just didn't make sense to me. Much to my surprise, a Google search showed that this problem is known as the Drinker Paradox.
Here’s My Solution:
This is a truly fascinating concept in classical logic. It states that there exists x such that if D(x) is true, then D is true for all values. A couple of examples:
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Example 1: Let D(x) represent "x is drinking." This implies that in any pub, there is a person whose drinking ensures that everyone else is drinking too.
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Example 2: Similarly, if D(x) stands for "x passes the exam," it suggests that there is one student in the class such that if this student passes, then everyone passes as well. (Fingers crossed that x passed the Formal Verifications exam!)
At first glance, this seems counterintuitive because it appears that one person's actions can determine everyone's actions. However, when analyzed logically, the statement holds true. This paradox highlights the difference between everyday language interpretation and formal logical expressions. It's mind-blowing to realize that something so unintuitive can be proven true through logical reasoning.
Next time you go to a bar, try finding that one person and get them to drink... It would be quite the party!
Sláinte 🍻