Creatio Ex Nihilo, more paradoxes

Proof of the Big Bang and the existence of God

You know the formula: m over zero equals infinity, m being any positive number? Well, why not reduce the equation to a simpler form by multiplying both sides by zero? In which case, you have m equals infinity times zero. That is to say a positive number is the product of zero and infinity. Doesn't that demonstrate the creation of the universe by an infinite power out of nothing?

Aldous Huxley

The Unexpected Examination

On a Monday morning, a professor says to his class, "I will give you a surprise examination someday this week. It may be today, tomorrow, Wednesday, Thursday, or Friday at the latest. On the morning of the examination, when you come to class, you will not know that this is the day of the examination."

Well, a logic student reasoned as follows: "Obviously I can't get the exam on the last day, Friday, because if I haven't gotten the exam by the end of Thursday's class, then on Friday morning I'll know that this is the day, and the exam won't be a surprise. This rules out Friday, so I now know that Thursday is the last possible day. And, if I don't get the exam by the end of Wednesday, then I'll know on Thursday morning that this must be the day (because I have already ruled out Friday), hence it won't be a surprise. So Thursday is also ruled out."

The student then ruled out Wednesday by the same argument, then Tuesday, and finally Monday, the day on which the professor was speaking. He concluded: "Therefore I cannot get the exam at all; the professor cannot possibly fulfil his statement." Just then, the professor said: "Now I will give you your exam." The student was most surprised!