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     How mathematicians prove something completely obvious.

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     What is a Mathematical Proof: Introduction to Mathematical Reasoning #1

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     Introduction to Common Mathematical Proof Methods

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     ❖ Four Basic Proof Techniques Used in Mathematics ❖

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     Workshop 2: Math. Analysis - Why do we do proofs?

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     Euclidean Geometry, all 7 Theorems

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2. www.youtube.com › watchHow mathematicians prove something completely obvious. - YouTube

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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...

   • Video Duration: 4 min
   • Views: 17K

   • Author: mCoding

3. www.youtube.com › watchHow do mathematicians prove things? An introduction ... - YouTube

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   Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro:"Lateralus" as performed by Sakis StrigasO...

   • Video Duration: 8 min
   • Views: 19.1K

   • Author: Epic Math Time

4. math.stackexchange.com › questions › 759362Why should we prove obvious things? - Mathematics Stack Exchange

   math.stackexchange.com › questions › 759362

   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.

5. www.youtube.com › watchWhat is a Mathematical Proof: Introduction to ... - YouTube

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   Sep 25, 2018 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...

   • Video Duration: 4 min
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   • Author: Knop's Course

6. mathoverflow.net › questions › 51531Theorems that are 'obvious' but hard to prove - MathOverflow

   mathoverflow.net › questions › 51531

   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 ...

7. www.quantamagazine.org › how-do-mathematiciansHow Do Mathematicians Know Their Proofs Are Correct?

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   Jul 13, 2022 · For example, in the branch of math known as number theory, there’s a long history of using randomness to help mathematicians guess what’s true. Now, probability is being used to help them prove what’s true. (00:53) We’ll be focusing here on prime numbers.

8. People also ask

   Why should a mathematician prove obvious things?

   • 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. It is not enough to appear true, it must be proven true.

   Why should we prove obvious things? - Mathematics Stack Exchange

   math.stackexchange.com/questions/759362/why-should-we-prove-obvious-things

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   Why do we prove things?

   • So, to answer the original question, we prove things in order to show how obvious they are, not the other way around (which is what occurs in the minds of people that would call the fact "obvious"). Everything is obvious under the right mindset; a proof just shows people the right mindset to use, after which they too will find the result obvious.

   Why should we prove obvious things? - Mathematics Stack Exchange

   math.stackexchange.com/questions/759362/why-should-we-prove-obvious-things

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   Which mathematical statements are 'obvious' and 'false'?

   • 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.

   Theorems that are 'obvious' but hard to prove - MathOverflow

   mathoverflow.net/questions/51531/theorems-that-are-obvious-but-hard-to-prove

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   What does 'obvious' mean?

   • A statement is obvious if a proof instantly springs to mind. However, for many mathematicians and teachers the meaning of "obvious" unfortunately is much broader. I had an economics professor who thought one result was obvious and spent over 3 hours explaining the "obvious" result to a fellow mathematician.

   When is something "obvious"? - Mathematics Stack Exchange

   math.stackexchange.com/questions/151782/when-is-something-obvious

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   Should you use the word 'obvious' in a sentence?

   • Normally you would want to restrict the use of the word "obvious" to things where the first proof your reader would think of works (and hence anyone can easily prove them if they bother to write it out), not to things where your intuition is correct but the proof is tricky.

   Why should we prove obvious things? - Mathematics Stack Exchange

   math.stackexchange.com/questions/759362/why-should-we-prove-obvious-things

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   Are 'obvious' and 'true' theorems easy to prove?

   • 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 'obvious', and known to be true, but that lack (or appear to lack) easy proofs.

   Theorems that are 'obvious' but hard to prove - MathOverflow

   mathoverflow.net/questions/51531/theorems-that-are-obvious-but-hard-to-prove

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9. www.reddit.com › r › mathWords like "trivial" and "obvious" in math proofs. : r/math

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   Apr 26, 2016 · It isn't supposed to just mean "easy" or "obvious". I always thought the word "trivial" was for situations like: a statement about all pairs of points when there only is one point, or a claim that a probability is bounded above by something greater than 1. Things like that. I agree that words like "obvious" or "clear" are often overused.