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Cake day: July 7th, 2023

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  • Nonsense! I can blow both your minds without a single proof or mathematical symbol, observe!

    There are different sizes of infinity.

    Think of integers, or whole numbers; 1, 2, 3, 4, 5 and so on. How many are there? Infinite, you can always add one to your previous number.

    Now take odd numbers; 1, 3, 5, 7, and so on. How many are there? Again, infinite because you just add 2 to the previous odd number and get a new odd number.

    Both of these are infinite, but the set of numbers containing odd numbers is by definition smaller than the set of numbers containing all integers, because it doesn’t have the even numbers.

    But they are both still infinite.