Was (wer) ist inference rules - definition

SYSTEMATIC LOGICAL PROCESS CAPABLE OF DERIVING A CONCLUSION FROM HYPOTHESES

Laws of Logic; Inference rule; Rules of inference; Rules of derivation; Inference rules; Universal Variables; Law of logic; Transformation rules; Transformation rule (logic); Transformation rule; Rules of logic

inference rule

<logic> A procedure which combines known facts to produce ("infer") new facts. For example, given that 1. Socrates is a man and that 2. all men are motal, we can infer that Socrates is mortal. This uses the rule known as "modus ponens" which can be written in {Boolean algebra} as (A & A => B) => B (if proposition A is true, and A implies B, then B is true). Or given that, 1. Either Denis is programming or Denis is sad and 2. Denis is not sad, we can infer that Denis is programming. This rule can be written ((A OR B) & not B) => A (If either A is true or B is true (or both), and B is false, then A must be true). (1994-10-31)

Rule of inference

In the philosophy of logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q".

https://en.wikipedia.org/wiki/Rule_of_inference

Statistical inference

PROCESS OF DEDUCING PROPERTIES OF AN UNDERLYING PROBABILITY DISTRIBUTION BY ANALYSIS OF DATA

InterpretingStatisticalData; Interpreting statistical data; Inferential statistics; Statistical analysis; Non-parametric inference; Inferential Statistics; Inductive strength; Inductive statistics; Statistical induction; Predictive inference; Statistics/Inference; Interpreting Statistical Data; Statistical Inference; Sampling statistics; Prediction theory; Inference (machine learning)

Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability.Upton, G.

https://en.wikipedia.org/wiki/Statistical_inference

Wikipedia

Rule of inference

In the philosophy of logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax, and returns a conclusion (or conclusions). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q". The rule is valid with respect to the semantics of classical logic (as well as the semantics of many other non-classical logics), in the sense that if the premises are true (under an interpretation), then so is the conclusion.

Typically, a rule of inference preserves truth, a semantic property. In many-valued logic, it preserves a general designation. But a rule of inference's action is purely syntactic, and does not need to preserve any semantic property: any function from sets of formulae to formulae counts as a rule of inference. Usually only rules that are recursive are important; i.e. rules such that there is an effective procedure for determining whether any given formula is the conclusion of a given set of formulae according to the rule. An example of a rule that is not effective in this sense is the infinitary ω-rule.

Popular rules of inference in propositional logic include modus ponens, modus tollens, and contraposition. First-order predicate logic uses rules of inference to deal with logical quantifiers.

https://en.wikipedia.org/wiki/Rule of inference