Collecting Things Together: Sets.- Comparing Things: Relations.- Associating One Item with Another: Functions.- Recycling Outputs as Inputs: Induction and Recursion.- Counting Things: Combinatorics.- Weighing the Odds: Probability.- Squirrel Math: Trees.- Yea and Nay: Propositional Logic.- Something about Everything: Quantificational Logic.- Just Supposing: Proof and Consequence.
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