Your grammar seems really rushed, I wouldn't be surprised if you didn't even proofread this before posting it. The story concept itself is really cool. It reads like a comedic jab mocking the seemingly pointlessness and inefficiency of philosophy. A common critique of philosophy is that it seems more like rich, old elitist white men with nothing else to do except think, so they spend that time intellectually armchair masturbating, and I feel like you deliver that critique in a palatable, lighthearted manner here. Kudos for that. More interesting though is seeing how strong their respective arguments actually were. Let's do a breakdown.
In the story we're presented with two different philosophical questions, namely: What is justice and Zeno's paradox. John claims the dictionary has the true meaning to what justice is. The professor rejects this on the grounds that it's not a clear reference point. On this one I'd say I have to agree with the professor in terms of the unknowability of what we deserve. John commits a semantic error by treating the dictionary definition as the full philosophical truth of “justice,” but John won in terms of semantics and strict definitions. Definitions are conclusions, not philosophical starting points.
The professor's argument against John's dictionary argument was HORRIBLE and was just an appeal to his authority as a professor. Laughable. Then the professor stumped, seemingly Gish gallops to Zeno's paradox instead, arguing it's unsolvable. John demonstrates he can touch the wall, proving Zeno's paradox bullshit? John's rebuttal to Zeno's paradox is a categorical error, confusing metaphysical analysis with real-life demonstration. Modern math has actually developed tools (such as calculus, in particular the concept of limits) that address infinite sequences summing up to finite values, so Zeno's paradox has actually already been solved mathematically. Hence this philosophy professor should probably have spent more time listening in math class, or at least done a quick google search before his class.
Anyways, this story was clearly not well polished but I love the message. It's mentally stimulating, engaging and controversial in the best possible way.