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I'm always aware about Dijkstra's comment on visualization of math. His concern was that math concepts can't be visualized; take for instance the concept of a t
by copperx 10y ago
I'm always aware about Dijkstra's comment on visualization of math. His concern was that math concepts can't be visualized; take for instance the concept of a triangle. The moment you visualize it you're seeing a specific instance and you forgot about the general model.
Maybe animations can help. You could animate a triangle morphing into a myriad of instances, even bizarre ones.
- uryga 10y agoThat may be a valid concern, but isn't that how we learn about all things? Generalize "chairness" from many examples of chairs we've seen? I feel like visualising is really helpful while getting to the point where you actually "feel" the concept of a triangle in your mind. Animation sounds like good way of doing that too.