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Cake day: July 11th, 2023

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  • My favorite version of this proof:

    Let S be the subset of natural numbers that are not interesting. Suppose by way of contradiction that S is inhabited. Then by the well ordering principle of natural numbers, there is a least such element, s in S. In virtue of being the least non interesting number, s is in fact interesting. Hence s is not in S. Since s is in S and not in S, we have derived a contradiction. Therefore our assumption that S is inhabited must be false. Thus S is empty and there are no non interesting numbers.


  • A group is not an algebra. A group consists of a single associative binary operation with an identity element and inverses for each element.

    A ring is an abelian (commutative) group under addition, along with an additional associative binary operation (multiplication) that distributes over addition. The additive identity is called zero.

    A field is a ring in which every nonzero element has a multiplicative inverse.

    A vector space over a field consists of an abelian group (the vectors) together with scalar multiplication by elements of the field, satisfying distributivity and compatibility conditions.

    A non-associative algebra is a vector space equipped with a bilinear multiplication operation that distributes over vector addition and is compatible with scalar multiplication.

    An (associative) algebra is a non-associative algebra whose multiplication operation is associative.

    You can read more about these definitions online and in textbooks - these are standard definitions. If you are using different definitions, then it would help your case to provide them so we can better understand your claims.











  • CompassRed@discuss.tchncs.detoComic StripsLife Goes On
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    4 months ago

    I respectfully disagree. Its thesis is simply that you can have a better life if you stay alive. The “proof” is simply all the changes the artist went through in order to find a better life. The changes aren’t supposed to be a recipe on how to make your life better - I don’t think the artist is telling people to divorce their spouses. There isn’t anything “just be happy” about getting a divorce.