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cyberic@discuss.tchncs.de ⁨10⁩ ⁨months⁩ ago

Quick Proof: Let k be an even number, then (k +1) is odd.

(k +1) + (k+1) = k + 1 + k + 1 = 2k + 2 which will be even.

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MBM@lemmings.world ⁨10⁩ ⁨months⁩ ago
That’s if you add two of the same odd number. The more general proof is basically the same though: let n and m be integers, then 2n+1 and 2m+1 are odd. (2n+1) + (2m+1) = 2n + 2m + 2 = 2(n+m+1) which will be even.

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- Pfnic@feddit.ch ⁨10⁩ ⁨months⁩ ago
  This is why I failed at uni. I’m struggling so hard to make sense of such proofs, even if I understand the underlying concepts… :(
  
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  - bitwolf@lemmy.one ⁨10⁩ ⁨months⁩ ago
    It helped me to lean on the different principals as an example.
    
    The easiest being Principal of Induction. Substitute k and m with 1,3,5,7,9…
    
    After going through a few iterations you can see if it holds up enough to keep testing with other principals. (Super simplified).
    
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- stebo02@sopuli.xyz ⁨10⁩ ⁨months⁩ ago
  Or you can just like, understand that an odd number is one more than an even number so if you add them together it’s two more than an even number, hence even.
  
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  - MBM@lemmings.world ⁨10⁩ ⁨months⁩ ago
    Definitely, that’s how I’d explain it in words
    
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  - lemmyseikai@lemmy.world ⁨10⁩ ⁨months⁩ ago
    Which is the layman’s terms of the proof… I don’t get what your goal is.
    
    Is this a ridiculous formalized statement? Yes, of course it is. Is it a building block for learning to read mathematical works? Yes, of course it is. But that’s the point. We need to practice the trivial to build the scaffolding to tackle the exceptional.
    
    I am not wont to draw conclusions with minimal evidence, but your post seems like you are a malicious reductionist that may be suffering from Dunning Kruger syndrome. I apologize in advance if I have miscategorized you based on this limited sample.
    
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    stebo02@sopuli.xyz ⁨10⁩ ⁨months⁩ ago
    I just wanted to show you don’t need any mathematics to understand why this is true.
    
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trimmerfrost@lemm.ee ⁨10⁩ ⁨months⁩ ago
Meow

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