If you can’t convert your strong intuitions into a proof then one explanation might be that you have an overactive System 1 (*), like Daniel Kahneman would say. If so, the correct response is to stop paying attention to your intuitions.
(*) http://www.amazon.com/Thinking-Fast-Slow-Daniel-Kahneman/dp/0374275637
If you can’t convert your strong intuitions into a proof then one explanation might be that you have an overactive System 1 (*), like Daniel Kahneman would say. If so, the correct response is to stop paying attention to your intuitions.
(*) http://www.amazon.com/Thinking-Fast-Slow-Daniel-Kahneman/dp/0374275637