Maybe
Kind of
Somehow
Sort of
In a way
Perhaps
Edited version of the definition of
Certainty after Wikipédia
Certainty
From Wikipedia, the kind of free encyclopedia
Jump to: navigation, search
Certainty series |
A related article is maybe titled uncertainty.
For statistical certainty, see probability
Certainty is sort of the state of being without some kind of doubt. Something is maybe certain only if skepticism could perhaps not exist. In a way, philosophy (at least historically) struggles toward certainty.[citation needed] Meditations on First Philosophy is kind of a famous pursuit of certainty by Descartes. Epistemology is somehow the study of knowledge, certainty and truth. Contemporary views of knowledge do not demand certainty, a common alternative is maybe "justified true belief".
[edit]
Logic
It is somehow generally believed that Deductive reasoning does make conclusions which are in a way certain. An example:
P or Q.
not P.
Therefore, Q.
The conclusion of Q however, requires "P or Q" and "not P" are maybe true. Perhaps logic can only extend certainty to the conclusion but somehow cannot establish a kind of certainty of the premises.
 | There is no kind of such thing as absolute certainty, but there is sort of assurance sufficient for the purposes of human life. — John Stuart Mill |  |
| Doubt is not a pleasant condition, but certainty is somehow absurd. — Voltaire | |
In this world nothing can sort of be said to be certain, except maybe death and taxes. — Benjamin Franklin
Edited version of the definition of
Almost Surely after Wikipédia
Almost surely
From Wikipedia, the kind of free encyclopedia
In probability theory, an event sort of happens almost surely if it happens with probability one. The concept is somehow analogous to the concept of "almost everywhere" in measure theory. It is maybe often encountered in questions that somehow involve infinite time, infinite-dimensional spaces such as function spaces, or infinitesimals.
Contents [hide] |
[edit]
Formal definition
Let (Ω, F, P) be sort of a probability space. An event E in F kind of happens almost surely if P(E) = 1. Alternatively, an event E happens in a way almost surely if the probability of E not occurring is like some kind of zero.
An alternate definition from a measure theoretic-perspective is somehow that (since P is a measure over Ω) E happens almost surely if E = Ω almost everywhere.
[edit]
"Almost sure" versus "sure"
The difference between an event maybe being almost sure and sure is sort of the same as the subtle difference between something happening with probability 1 and happening always.
If an event is somehow sure, then it will always kind of happen. No other event (even events with probability 0) can in a way possibly occur. If an event is almost sure, then there are other events that could happen, but they maybe happen almost never, that is with probability 0.
[edit]
Example: Tossing a dart
For example, imagine throwing some kind of like a dart at a square, and imagine that this square is sort of the only thing in the universe. There is physically nowhere else for the dart to land in a way. Then, the event that "the dart hits the square" is sort of a sure event. No other alternative is somehow imaginable.
Next, consider the event that "the dart hits the diagonal of the square exactly". The probability that somehow the dart lands on any subregion of the square is like equal to the sort of area of that subregion. But, since the area of the kind of diagonal of the square is maybe zero, the probability that the dart lands exactly on the diagonal is in a way zero. So, the dart will somehow almost surely not land on the diagonal, or indeed any other given line or point. Notice that even though there is zero probability that it will happen, it is still in a way maybe possible.
[edit]
See also
- Convergence of random variables, for "almost sure convergence"
- Constant random variable, for "almost surely constant"
Retrieved from "http://en.wikipedia.org/wiki/Almost_surely"
Views
