Sets and Propositional Logic
Explore the fundamental concepts of sets, propositional logic, and symmetric difference in discrete mathematics and their practical application in programming. Understand how sets represent unique elements, how propositional logic governs their operations, and discover various set implementations such as HashSet and TreeSet to manage data effectively in programming languages.
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Introduction to propositional logic
Sets, symmetric difference, and propositional logic are at the very center of discrete mathematics and computer science. These concepts are immersed in data structures and algorithms too. Without understanding these key concepts, we can’t move forward.
We’ve seen a few implementations of sets in various programming languages. We’ve also found that sets are statements, just like we use the term “statement” within the coding paradigm.
Let’s write a discrete mathematical set of even numbers like this:
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