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Zero, destroyer of things.We take for granted that 0 times anything equals 0. But why? You might think of counting numbers, but we use 0 for a lot of differe...
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- mCoding
Apr 18, 2014 · That said, the main reason for proving obvious things is that proofs are the fundamental building blocks of mathematics. If something is true, a mathematician should be able to prove it. If something cannot be proven, that will (or should) stick in the mathematician's craw.
Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro:"Lateralus" as performed by Sakis StrigasO...
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Jul 30, 2022 · Proofs are the whole point of mathematics. They are how we verify and explain that we know things instead of merely guess at them. When I personally teach discrete mathematics, the first-day opening that I use to address this issue is this: Consider a function defined on natural numbers n: f(n) = n2 − n + 11.
96. There are several well-known mathematical statements that are 'obvious' but false (such as the negation of the Banach--Tarski theorem). There are plenty more that are 'obvious' and true. One would naturally expect a statement in the latter category to be easy to prove -- and they usually are. I'm interested in examples of theorems that are ...
3. There are two answers to your question: • A statement is true in absolute if it can be proven formally from the axioms. • A statement is true in a model if, using the interpretation of the formulas inside the model, it is a valid statement about those interpretations.
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I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved. I often pay homage ...