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Apr
4
comment Regarding the validity of probability theory
Also, what if at the tome you roll a dice, someone "A" beside you "decide" to change/bias the surface on which the dice will fall. You can have a probability that "A" will reside to some external criteria, but you can never be sure (100%) that "A" will decide or not to change the surface on which the dice will fall.
Apr
4
comment Regarding the validity of probability theory
@Uracilo "Picking" a square-free number from the integers is an "action" that one can do. Therefore it may "happen". Also, dying is something that happens. Will you be able to get the exact time when someone will dye assuming that you have a full knowledge of all variables of physical nature ? Or will you just give a probability ?
Apr
4
answered Regarding the validity of probability theory
Apr
4
comment Regarding the validity of probability theory
Probability do make sense, unless you are able to control variable that exists (including those influencing the universe itself), which would mean that you are even able to predict the future. You took the example of rolling a dice which basically Depends on physics low, that if you are able to control them then you will be able to reproduce exactly the same result. But you can also consider "the time when you will die" as a random variable which is not so deterministic (unless you can predict future).
Feb
13
comment Function F(x,y) which is high when (both x and y are high) and (x is close to y)
@Joel yes it needs to be continuous. The function that you proposed have the same behaviours as $x^2 + y^2$, isn't it ?
Feb
13
accepted Function F(x,y) which is high when (both x and y are high) and (x is close to y)
Feb
12
asked Function F(x,y) which is high when (both x and y are high) and (x is close to y)
Dec
1
awarded  Promoter
Dec
1
revised Selecting a subset from a set such that a given quantity is minimized
edited tags
Nov
29
revised Selecting a subset from a set such that a given quantity is minimized
deleted 6 characters in body
Nov
29
revised Selecting a subset from a set such that a given quantity is minimized
deleted 6 characters in body
Nov
29
awarded  Citizen Patrol
Nov
29
awarded  Yearling
Nov
29
accepted Function for the upper left part of a circle
Nov
29
revised Selecting a subset from a set such that a given quantity is minimized
edited tags
Nov
29
asked Selecting a subset from a set such that a given quantity is minimized
Nov
21
revised Do this algorithm terminates?
deleted 91 characters in body; edited title
Nov
20
accepted Do this algorithm terminates?
Nov
20
comment Do this algorithm terminates?
Thank you for your example. If as soon as I find an element x in A having $d_x^A > d_x^B$ I put it in B, and as soon as I find an element x in B having $d_x^A < d_x^B$ I put it in B, would it be the same (algorithm never stops) ?
Nov
20
revised Do this algorithm terminates?
added 67 characters in body