CGSC170 Chapter Notes - Chapter 8: Boolean Function, George Boole, Sentence Clause Structure

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Functions are understood strictly mathematically in this sense. Two numbers as inputs yields a third number as the output. Output is the sum of two inputs. A mapping function maps each item from the domain onto exactly one item from the range. No item from the domain gets mapped more than once. No item from the domain gets mapped to more than one item in the range. Ex3- square roots of numbers are not found through functions because for every positive number there is 2 square roots. Two number in the domain may b mapped to a single item in a range. But there may not be multiple ranges for a single domain. Invented modern logic thought about concepts with function mapping. The concept even number as a function that maps every even number to true and the rest to false. Functions that take pairs of truth values as inputs. And deliver truth values as their outputs.

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