Positive Infinity and Negative Infinity

Recently, I watched a BBC documentary named “Horizon: Infinity” that illustrates several concepts of infinity. These are some thoughts that have been perplexing humans for a really long time. The most common facts about infinity are usually expressed using a concept of an infinitely large hotel – which has infinitely many rooms. Even when that hotel is full, it is possible to make room for 1, N or infinitely many new customers. How? If you need N rooms, tell all the existing customers to shift in room number i+N, where i is their current room number. You’ll get N free rooms (1 to N). If you need infinite …

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