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I am not a mathematician, I am a physicist. Out of curiosity, how big is the following set?
Let me first define:
A_0 = a point
A_1 = the reals
A_2 = the reals^2 (the plane)
A_3 = the reals^3
.
.
.
The set I want to know the size of is the sum (union) of all the A_n sets, where n goes to infinity. Also, can i assign a cardinality?
Let me first define:
A_0 = a point
A_1 = the reals
A_2 = the reals^2 (the plane)
A_3 = the reals^3
.
.
.
The set I want to know the size of is the sum (union) of all the A_n sets, where n goes to infinity. Also, can i assign a cardinality?