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probability fn (ProbabilityFn)

One of the basic ProbabilityRelations, ProbabilityFn is used to state the a priori probability of a state of affairs. (ProbabilityFn formula) denotes the a priori probability of formula.

Ontology

SUMO / BASE-ONTOLOGY

Class(es)

 class

inheritable relation

probability relation
 class

inheritable relation

unary function
 asymmetric relation

probability fn

Coordinate term(s)

absolute value fn  abstraction fn  arc cosine fn  arc sine fn  arc tangent fn  back fn  begin fn  begin node fn  cardinality fn  ceiling fn  complement fn  cosine fn  cut set fn  denominator fn  end fn  end node fn  extension fn  floor fn  front fn  future fn  generalized intersection fn  generalized union fn  giga fn  imaginary part fn  immediate future fn  immediate past fn  initial node fn  integer square root fn  kilo fn  list length fn  magnitude fn  mega fn  micro fn  milli fn  minimal cut set fn  nano fn  numerator fn  organization fn  past fn  path weight fn  pico fn  power set fn  predecessor fn  principal host fn  property fn  rational number fn  real number fn  reciprocal fn  round fn  signum fn  sine fn  skin fn  square root fn  successor fn  tangent fn  tera fn  terminal node fn  wealth fn  when fn  year fn  attribute  authors  causes  causes subclass  citizen  closed on  completely fills  conditional probability  contains information  crosses  date  decreases likelihood  developmental form  documentation  duration  editor  element  equivalence relation on  exploits  expressed in language  fills  frequency  graph part  has purpose  has skill  holds during  holds obligation  holds right  hole  identity element  immediate instance  immediate subclass  in list  in scope of interest  increases likelihood  independent probability  inhabits  irreflexive on  manner  measure  meets temporally  member  modal attribute  parent  partial ordering on  partially fills  path length  penetrates  possesses  precondition  proper part  properly fills  publishes  range  range subclass  realization  reflexive on  successor attribute  surface  temporal part  time  total ordering on  trichotomizing on  uses  valence  version

Type restrictions

real number ProbabilityFn(formula)

Axioms (5)

If formula1 increases likelihood of formula2 and "the probability of formula2" is equal to number1 and probability of formula1 provided that formula2 holds is formula2, then number2 is greater than number1.
```(=>
(and
(increasesLikelihood ?FORMULA1 ?FORMULA2)
(equal
(ProbabilityFn ?FORMULA2)
?NUMBER1)
(conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
(greaterThan ?NUMBER2 ?NUMBER1))```

If formula1 decreases likelihood of formula2 and "the probability of formula2" is equal to number1 and probability of formula1 provided that formula2 holds is formula2, then number2 is less than number1.
```(=>
(and
(decreasesLikelihood ?FORMULA1 ?FORMULA2)
(equal
(ProbabilityFn ?FORMULA2)
?NUMBER1)
(conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
(lessThan ?NUMBER2 ?NUMBER1))```

If probability of formula1 and formula2 is independent and "the probability of formula2" is equal to number1 and probability of formula1 provided that formula2 holds is formula2, then number2 is equal to number1.
```(=>
(and
(independentProbability ?FORMULA1 ?FORMULA2)
(equal
(ProbabilityFn ?FORMULA2)
?NUMBER1)
(conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
(equal ?NUMBER2 ?NUMBER1))```

If formula has an attribute likely, then "the probability of "formula is true"" is greater than "the probability of "formula is false"".
```(=>
(property ?FORMULA Likely)
(greaterThan
(ProbabilityFn
(true ?FORMULA True))
(ProbabilityFn
(true ?FORMULA False))))```

If formula has an attribute unlikely, then "the probability of "formula is false"" is greater than "the probability of "formula is true"".
```(=>
(property ?FORMULA Unlikely)
(greaterThan
(ProbabilityFn
(true ?FORMULA False))
(ProbabilityFn
(true ?FORMULA True))))```