>>12027631>is the rotations of a sphere a group with uncountably many elements?usually theta and phi are used for rotations around the axis and latitude, we can look at just one and see that it is similar to a continuous interval of R -> uncountable
>are there groups with cardinality greater than R? is there a retard proof one which i can understand?functions on R to R with + (f+g -> (f+g))
this has the same cardinality as the power set of R which has strictly greater cardinality by cantor's diagonal iirc
>is it possible for there to be a classification of finite simple groups that looks different from the categories we have now?probably if you can find a useful way to do so
>also: whats the first book on math you will give your hypothetical/imaginary/real child when he/she/they/it ask you for a book on math?one of those logic puzzle(fox,chicken,corn raft type problems) books if they count
id probably let them choose and (if asked)guide them to the appropriate content if they get interested in mathematics
not directly maths but those cross section books were great to help develop spatial reasoning for yung'ns
