10k? 100k? A million?
I am not talking about calculating with numbers, but rather the point where numbers stop being comprehensible, or “no longer mean anything”.
Try visualizing exactly 10000 apples in your mind.
Edit: What I’ve gathered so far from the answers:
Visualizing: <10
Visualization and symbolics are not the only way we comprehend numbers. My mind has the ability to recognize astonishingly broad temporal intervals with remarkable accuracy. I can express the interval using numbers. Does that mean I am able to fully comprehend a number like in “90 minutes?”
I am able to remember sets of things, and distinguish all of the members of that set, up to very large numbers. It would not be unusual for a teacher to be able to call to mind every one of a couple hundred students currently attending their school. If I can manage a set of a particular size in my mind (whether or not I can visualize all the members of that set simultaneously) do I not have some comprehension of that number? What if every student is assigned an integer from a contiguous series, and I can remember each student’s id number?
Some people cannot visualize at all. Do they fail to comprehend every number?
Yes I believe there’s an over-emphasis on the visual here. There’s a low limit on how many distinct objects we can perceive visually at once but that’s not entirely the same as what numbers we can grasp and comprehend.
There’s also conflation with the number of “chunks” we can hold in mind at a time, which is often estimated at about seven things. But that doesn’t mean we don’t comprehend what eight is.
Numbers are DEEP. You can’t just know things about a number, you have to discover them empirically, experimentally. Every number has essentially infinite properties and you can’t know everything about a number, but you get a familiarity with them. Still, even the simplest numbers have the capacity to surprise in the right context.