The Odd Questions

Mathematics and physics are full of situations that appear paradoxical, but each one reveals something essential about how reasoning and abstraction truly work.
This section collects short, rigorous explorations of questions that challenge definitions and intuitions — designed for students, teachers, and anyone who enjoys the borderlands between logic and wonder.

Browse the Questions

• Why You Can’t Divide by Zero – Explained Simply
  Why dividing by zero isn’t “forbidden” — it’s meaningless, because zero has no multiplicative inverse.
• What Is Infinity Plus One?
  From Hilbert’s Hotel to set theory — exploring why infinity can’t be treated like a number.
• Maxwell’s Demon
  The classic paradox linking entropy, probability, and the cost of information.

Format

1. Theory recall — key principles and definitions.
2. Worked reasoning — clear, step-by-step analysis.
3. Author’s note — reflection on the conceptual meaning.

New “odd questions” are added periodically.
If you’d like to propose one, reach out via the About page.