The No-Cloning Theorem

Symptom You have spent this whole part learning that information wants to be copied. Entropy bounds compression (T018), Huffman hits the bound (T020), redundancy buys error correction (T021). Every result so far treats “make another copy” as the free operation — the thing you do without thinking, the reason cp has no interesting failure modes. ...

The Birthday Bound

Symptom You need a short ID for uploads. Eight hex characters feels generous, so you take the first 32 bits of a hash and move on. At about 80,000 uploads, two files collide, and one of them silently overwrites the other, and the bug report says the customer’s invoice contains someone else’s line items. ...