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  • Use of Trivially True in math - Mathematics Stack Exchange
    0 Trivial, according to Google dictionary is an adjective with the meaning "of little value or importance " Some synonyms include: unimportant, insignificant, inconsequential, etc It appears the literal meaning does not apply in math, because Triviality or Trivially true means different things in different contexts making it more confusing
  • What defines triviality? - Mathematics Stack Exchange
    The second meaning is more tricky The second meaning of the word trivial can best be replaced with "very simple" For example, the proof that the number $7$ is a prime number can be considered trivial It is clear that this definition of the word is much more subjective than the first For example, a $10$ year old child will find it very hard to understand that the cardinality of $ [0,1]$ is
  • Linear algebra terminology: unique, trivial, non-trivial, inconsistent . . .
    Linear algebra terminology: unique, trivial, non-trivial, inconsistent and consistent Ask Question Asked 11 years, 2 months ago Modified 11 years, 2 months ago
  • What is meant by nontrivial solution? - Mathematics Stack Exchange
    In a linear algebra book, I find the term quot;nontrivial solution quot; and can not understand what that means Could someone please explain what this means?
  • linear algebra - What do trivial and non-trivial solution of . . .
    What do trivial and non-trivial solution of homogeneous equations mean in matrices? [closed] Ask Question Asked 10 years, 10 months ago Modified 6 years, 6 months ago
  • What is a trivial and a non-trivial solution in terms of linear algebra?
    6 Trivial solution is a technical term For example, for the homogeneous linear equation $7x+3y-10z=0$ it might be a trivial affair to find verify that $ (1,1,1)$ is a solution But the term trivial solution is reserved exclusively for for the solution consisting of zero values for all the variables There are similar trivial things in other
  • What does it really mean for something to be trivial?
    The trivial subgroups of a group are the whole group itself and the one-element subgroup Or it means that the author doesn't want to spell out something which is (in the author's view) and easy obvious fact
  • A question on the equivalence of definitions of separative posets
    In particular, separativity is not about prohibiting trivial extensions, as the case of the trivial poset shows It does however narrow down what posets that have trivial extensions can look like: any separative such poset has minimal elements, or more specifically, the elements that that don't branch into incompatible extensions are all minimal
  • What does trivial mean in logic? - Mathematics Stack Exchange
    True In logic, 'trivial' is a technical term A trivial theory is such that it has all the sentences as theorems This is possible only if it contains an inconsistency, which enables one to derive any sentence at will So, why do we bother with such a term? Because we can have rational systems that have inconsistencies, but the associated theories are non-trivial Paraconsistent logic studies





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