Just a few hours ago, the first plenary speaker at a philosophy of science conference was a very important female philosopher whose book is a seminal (sic) reference in the sub-field that’s the topic of the conference. In the course of the talk she mentioned that she wasn’t sure how a particular scientist from the 1800s was using the term mathematical induction, despite having spent some effort looking into it. The first “question” from the audience was some dude informing her that mathematical induction is… then he went on to give the basic definition we all learned in high school math class. I had to clap my hands over my mouth to stop from laughing out loud at the presumption. She was very gracious and said that of course she agreed that this is what mathematical induction is, but that this scientist from the 1800s seemed to be using the term differently, and what she was trying to get at was what the term meant in that historical context.
Do I need to explain why this is so shocking? That guy didn’t seem to realize.