Beethoven did outlive many people who were the same age as Berlioz.
I’m reading the book Probability Theory: the Logic of Science written by E. T. Jaynes. I was confused by the wording “logically contradictory”. I mean here. Maybe I made a mistake. I didn’t get the meaning of that sentence/counterexample in this statement:
If A implies B then a false propposition implies all propositions, and if we tried to interpret this as logical deducibility, it would follow that every false proposition is logically contradictory. Yet the proposition: ‘Beethoven outlived Berlioz’ is false but hardly logically contradictory.
By the same age as Berlioz(11 December 1803 – 8 March 1869, died at 66 years old) does the author mean 66? Or any age in one year between 1803 and 1827? Or maybe anything else? I guess what the so-called "logically contradictory" means is A => A bar(A implies the opposite of A itself)?
PS: Beethoven(1770-1827, died at 57 years old)