Inductive reasoning
Inductive reasoning (as opposed to deductive reasoning or abductive reasoning) is reasoning in which the premises seek to supply strong evidence for (not absolute proof of) the truth of the conclusion...
Problem of induction
The problem of induction is the philosophical question of whether inductive reasoning leads to knowledge understood in the classic philosophical sense, since it focuses on the lack of justification fo...
Statistical syllogism
A statistical syllogism (or proportional syllogism or direct inference) is a non-deductive syllogism. It argues, using inductive reasoning, from a generalization true for the most part to a particular...
Argument from analogy
Argument from analogy is a special type of inductive argument, whereby perceived similarities are used as a basis to infer some further similarity that has yet to be observed. Analogical reasoning is...
Causality
Causality (also referred to as causation) is the relation between an event (the cause) and a second event (the effect), where the second event is understood as a physical consequence of the first.In c...
Mathematical induction
Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is a form of direct proof, and it is done in two steps. The first ste...
Probability and statistics
Probability and statistics are two related but separate academic disciplines. Statistical analysis often uses probability distributions, and the two topics are often studied together. However, probabi...
Scientific theory
A scientific theory is a well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method and repeatedly tested and confirmed through observation and e...
Transferable belief model
The transferable belief model (TBM) is an elaboration on the Dempster–Shafer theory of evidence.
Consider the following classical problem of information fusion. A patient has an illness that can b...
Pessimistic induction
In the philosophy of science, the pessimistic induction, also known as the pessimistic meta-induction, is an argument which seeks to rebut scientific realism, particularly the scientific realist's no...
False analogy
Argument from analogy is a special type of inductive argument, whereby perceived similarities are used as a basis to infer some further similarity that has yet to be observed. Analogical reasoning is...
Slothful induction
Slothful induction, also called appeal to coincidence, is a fallacy in which an inductive argument is denied its proper conclusion, despite strong evidence for inference. An example of slothful induct...
Support curve
Support curve is a statistical term, coined by A. W. F. Edwards, to describe the graph of the natural logarithm of the likelihood function. The function being plotted is used in the computation of the...
McNamara fallacy
The McNamara fallacy (also known as quantitative fallacy), named for Robert McNamara, the United States Secretary of Defense from 1961 to 1968, involves making a decision based solely on quantitative ...
Concomitant (statistics)
In statistics, the concept of a concomitant, also called the induced order statistic, arises when one sorts the members of a random sample according to corresponding values of another random sample.Le...
Imperfect induction
The imperfect induction is the process of inferring from a sample of a group to what is characteristic of the whole group.
David Hume
David Hume (/ˈhjuːm/; 7 May 1711 NS – 25 August 1776) was a Scottish historian, philosopher, economist, diplomat and essayist known today especially for his radical philosophical empiricism and scept...
Solomonoff's theory of inductive inference
Solomonoff's theory of universal inductive inference is a theory of prediction based on logical observations, such as predicting the next symbol based upon a given series of symbols. The only assumpti...
Rule induction
Rule induction is an area of machine learning in which formal rules are extracted from a set of observations. The rules extracted may represent a full scientific model of the data, or merely represen...
Notation in probability and statistics
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.
Correlation does not imply causation
Correlation does not imply causation is a phrase used in science and statistics to emphasize that a correlation between two variables does not necessarily imply that one causes the other. Many statis...
Inverse resolution
Inverse resolution is an inductive reasoning technique that involves inverting the resolution operator.
Inverse resolution
Statistical inference
Statistical inference is the process of deducing properties of an underlying distribution by analysis of data. Inferential statistical analysis infers properties about a population: this includes test...
Fallacy of composition
The fallacy of composition arises when one infers that something is true of the whole from the fact that it is true of some part of the whole (or even of every proper part). For example: "This fragmen...
Inductive reasoning aptitude
Inductive reasoning aptitude (also called differentiation or inductive learning ability) measures how well a person can identify a pattern within a large amount of data. It involves applying the rules...
Structural induction
Structural induction is a proof method that is used in mathematical logic (e.g., in the proof of Łoś' theorem), computer science, graph theory, and some other mathematical fields. It is a generalizat...
Selection bias
Selection bias refers to the selection of individuals, groups or data for analysis such that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of th...