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weamp;#39;re going to find a bijection from the even numbers to the natural numbers and weamp;#39;ll prove that our function is in fact a bijection remember that a bijection is a bijective function which is a function that is both injective and surjective iamp;#39;ll leave links in the description to my lessons introducing those concepts if you need a recap in a previous lesson we proved that we had found a surjective function from the evens to the naturals which was enough to conclude that the cardinality of the evens the number of even numbers was at least as big as the cardinality of the naturals the number of natural numbers again thatamp;#39;s because we found a surjection from the evens to the naturals so in a sense there are at least as many even numbers as there are naturals because we had enough even numbers to cover the entire set of naturals but today since weamp;#39;ll be finding a bijection between these two sets we will be proving in fact that their cardinalities are
