The Smallest Infinity

Intro to Counting

Learning how to count
Counting Zs

Fun with Countably Infinite Sets

Counting is Natural
Odd counting
Counting every integer
It turns out you can’t count the Real numbers

Smaller Infinities?

Lemma 1

Proof of Lemma 1

Injection from a set 𝕏 to the positive integers ℤ+

Lemma 2

Proof of Lemma 2

We can count the elements in any subset of ℤ+, even if the subset is infinite

Putting it All Together

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Average level nerd that wishes he were actually an even bigger nerd.

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Kevin Ullmann

Kevin Ullmann

Average level nerd that wishes he were actually an even bigger nerd.

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