If infinity were odd then two times infinity would be even, but two times infinity is infinity, which is defined as odd. Therefore, infinity is not odd. Another win for proof by contradiction — assume a premise, show how the premise leads to a contradiction, which concludes that the premise is false, therefore, the negation […]
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Patterns are everywhere. When our children are little we give them blocks named pattern blocks even and help them create patterns. In sewing we use a pattern to guide us in the process of making a beautiful piece of clothing. Following a pattern involves a very specific skill, one that takes practice. Discovering a pattern
We’ve been focusing on wonder and discovery quite a bit lately and there’s a reason for that. Not only does it seem to fit with the seasons of spring and summer, but it’s important. As we continue into our high school mathematics journey, the temptation to focus narrowly on the task at hand is hard
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Nicomachus tells us that in order to study, learn, and know philosophy, we must first begin with arithmetic. Arithmetic is the study of the finite quantity — numbers, while geometry, second on Nicomachus’ list, is the study of finite sizes — shapes. While most people struggle to understand the world of numbers, many intuitively understand
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