Thursday, April 10, 2025

I is for Infinity: "Definition of a Number" by Bertrand Russel

 9-111

Other I Ideas: Idea, Immortality, Induction

Summary: A number is a number which is the same as the other numbers that are the same number as it.

Bonus: Marvel Vs Capcom 2 is silly

Commentary: This is largely a review of your middle school math vocabulary (domain, set, etc.) He does eventually get to what he claims is the definition of number:

"A number is anything which is the number of some class."

Russel admits this is somewhat circular, but attempts to justify it by explaining that you can't define "the class of fathers" without first defining father. Of course, he's doing the opposite here. He manages to sort of define "classes of numbers" as "The number of a class is the class of all those classes that are similar to it." The similar is making this a real fuzzy definition, but it's not completely circular. But you need to define number to define "class of number" not the other way around (just as you use father to define "class of father" not "class of father" to define father.)

For the sake of the blog, I looked up number in a couple different dictionaries (I even drug down the N volume of our encyclopedia). I think my favorite comes from wiktionary:  An abstract entity used to describe quantity.

0/5 Pointless.

I'm grateful for the infinite combinations of words that I can read and write.

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