Hello is there any kind of math that is not based on the concept of 1 but only on continuous expressions? Maybe is this what vector are? If this question is stupid, answer me and I'll erase it.
Thanks!
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You don't have to delete anything, ask away. – Git Gud Jan 13 '13 at 20:42
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6Any guess I might have as to what is being asked here would only be a guess. – Michael Hardy Jan 13 '13 at 20:43
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Discrete mathematic? – dwarandae Jan 13 '13 at 20:47
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I don't know if I got you right: With the concept of $1$ you mean that things are or are not?
If that is what you meant then: Yes, it is called Fuzzy Mathematics (based on Fuzzy Logic) where the set of true values is $[0,1]$, or some other ordered lattice. However, this approach is still made from Classic Set Theory.
A fuzzy set on a set $X$ is a function $A:X \rightarrow [0,1]$, so $A(x)$ represents to what degree $x$ is an element of $A$. This covers the usual notion of belonging: If $A(X) \subset \lbrace 0,1 \rbrace$ (i.e. $A$ is a characteristic function) then for an element $x \in X$ either $A(x)=1$ and it is in $A$ or $A(x)=0$ and it isn't.
Z. L.
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Actually i'm bad at math writing i dont understand much of the expression I read (i know it's probably not hard..) but what I seek is maybe more along the idea of math where parameters have only a probability of being defined that is never 1 and never 0. – Nicolas Manzini Jan 13 '13 at 20:59
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If I'm solving your questions (which I still don't truly know) then vectors have nothing to do with it. – Z. L. Jan 13 '13 at 21:13
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1If you want that the probability is never $1$ and never $0$ just think of the lattice $(0,1)$ and carry on with the construction. – Z. L. Jan 13 '13 at 21:21