I can give you many more examples of specific computable numbers than I can of noncomputable numbers. This is a bit surprising when one learns that the set of

I can give you many more examples of specific computable numbers than I can of noncomputable numbers. This is a bit surprising when one learns that the set of noncomputable numbers is much larger than computable ones. Most of the numbers you’ve dealt with are computable. Every noncomoutable is close to a computable number where close means as close as you want. There is also the notion of definable numbers which is different than computable. There are people who study these things and the implications they have in mathematics and computer science. I’m not one of these people so beyond what I’ve said I don’t dare comment.