•Why it earns a slot
Why it earns a slot: it is the book that tried to give science a user manual, reducing induction to four testable canons (Agreement, Difference, Residues, Concomitant Variation) that still describe how working scientists reason today.
Mill tries to prove that all human knowledge, from why soap forms to why nations rise and fall, runs on the same handful of inference rules.
This distillation is written from the freely available original, which is always the better read when you have the time: Project Gutenberg.