The support which the premises provide for the conclusion is dependent on the number of individuals in the sample group compared to the number in the population, and the randomness of the sample. The hasty generalization and biased sample are fallacies related to generalization. Statistical syllogism  A statistical syllogism proceeds from a generalization to a conclusion about an individual. A proportion Q of population P has attribute A. An individual I is a member of P. Concl ...

See also:

Induction philosophy, Induction philosophy - Validity, Induction philosophy - Types of inductive reasoning, Induction philosophy - Bayesian inference

Read more here: » Induction philosophy: Encyclopedia II - Induction philosophy - Types of inductive reasoning

See also:

Induction philosophy, Induction philosophy - Validity, Induction philosophy - Types of inductive reasoning, Induction philosophy - Bayesian inference

Read more here: » Induction philosophy: Encyclopedia II - Induction philosophy - Validity

Definition and meaning of inductive reasoning:

inductive reasoning - the process of observing data, recognizing patterns, and making generalizations from the observations; reasoning from particular facts to a general conclusion

(Source: US National Oceanic and Atmospheric Administration (NOAA) )

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Inference is the act or process of drawing a conclusion based solely on what one already knows. Suppose you see rain on your window - you can infer from that, quite trivially, that the sky is grey. Looking out the window would have yielded the same fact, but through a process of perception, not inference (note however that perception itself can be viewed as an inferential process). Inference is studied within several different fields. Human inference (i.e. how humans draw conclusions) is traditionally studied within the field o ...

Including:

Inference - The accuracy of inductive and deductive inferences Inference - Valid inferences
Inference - An example: the classic syllogism
Inference - Automatic logical inference
Inference - An example: inference using Prolog
Inference - Inference and uncertainty
Inference - Common sense and uncertain reasoning Inference - Bayesian statistics and probability logic Inference - Frequentist statistical inference Inference - Fuzzy logic

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Of the candidate systems of inductive logic, the most influential is Bayesianism, which uses probability theory as a framework for induction. Bayes theorem is used to calculate how much the strength of one’s belief in a hypothesis should change, given some evidence. There is debate around what it is that informs the original degree of belief. Objective Bayesians seek an objective value for the degree of probability of a hypothesis being correct, and so do not avoid the philosophical criticisms of objectivism. Subjective Bayesians ho ...

See also:

Induction philosophy, Induction philosophy - Validity, Induction philosophy - Types of inductive reasoning, Induction philosophy - Bayesian inference

Read more here: » Induction philosophy: Encyclopedia II - Induction philosophy - Bayesian inference

Traditional logic is only concerned with certainty - one progresses from certain premises to certain conclusions. There are several motivations for extending logic to deal with uncertain propositions and weaker modes of reasoning. Philosophical motivations A large part of our everyday reasoning does not follow the strict rules of logic, but is nevertheless effective in many cases Science itself is not deductive, but largely inductive, and its process cannot be captured by standard logic (see problem of inductio ...

See also:

Inference, Inference - The accuracy of inductive and deductive inferences, Inference - Valid inferences, Inference - An example: the classic syllogism, Inference - Automatic logical inference, Inference - An example: inference using Prolog, Inference - Inference and uncertainty, Inference - Common sense and uncertain reasoning, Inference - Bayesian statistics and probability logic, Inference - Frequentist statistical inference, Inference - Fuzzy logic

Read more here: » Inference: Encyclopedia II - Inference - Inference and uncertainty

Abduction, or abductive reasoning, is the process of reasoning to the best explanations. In other words, it is the reasoning process that starts from a set of facts and derives their most likely explanations. The term abduction is sometimes used to mean just the generation of hypotheses to explain observations or conclusions, but the former definition is more common both in philosophy and computing. Deduction and abduction differ in the direction in which a rule like “a entail ...

Including:

Abductive reasoning - Logic-based Abduction Abductive reasoning - Set-Cover Abduction Abductive reasoning - History of the concept Abductive reasoning - Applications

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An argument is cogent if and only if the truth of the argument's premises would render the truth of the conclusion probable (i.e., the argument is strong) and the premises are, in fact, true. Cogency can be considered inductive logic's analogue to deductive logic's "validity." As an example, consider the following. Without looking, Jill pulled out 100 marbles from a bag; 95 of the marbles Jill pulled out were red. Therefore, the next marble Jill ...

Including:

Cogency - Probable Cogency - Good argument

Read more here: » Cogency: Encyclopedia - Cogency

There are several meanings for the word deduction: Natural deduction Deductive reasoning Deductions in terms of taxation, such as Itemized deductions Standard deduction See also: Logic Venn diagram Inductive reasoning Both statistics and the scientific method rely on both induction and deduction. Other related archivesDeductive reasoning, Inductive reasoning, Itemiz

Read more here: » Deduction: Encyclopedia - Deduction

Logic, from Classical Greek λόγος (logos), originally meaning the word, or what is spoken, (but coming to mean thought or reason) is most often said to be the study of arguments, although the exact definition of logic is a matter of controversy among philosophers. However the subject is grounded, the task of the logician is the same: to advance an account of valid and fallacious inference to allow ...

Including:

Logic - Nature of logic
Logic - Informal formal and symbolic logic Logic - Rival conceptions of logic Logic - History of logic Logic - Relation to other sciences Logic - Deductive and inductive reasoning
Logic - Topics in logic
Logic - Syllogistic logic Logic - Predicate logic Logic - Modal logic Logic - Deduction and reasoning Logic - Mathematical logic Logic - Philosophical logic Logic - Logic and computation
Logic - Controversies in logic
Logic - Bivalence and the law of the excluded middle Logic - Implication: strict or material? Logic - Tolerating the impossible Logic - Is logic empirical?

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An argumentum ad populum (Latin: "appeal to the people"), in logic, is a fallacious argument that concludes a proposition to be true because many or all people believe it; it alleges that "If many believe so, it is so." In ethics this argument is stated, "if many find it acceptable, it is acceptable." This type of argument is known by several names, including appeal to belief, appeal to the majority, appeal to the people, argument by consensus, authority of the many, bandwagon ...

Including:

Argumentum ad populum - Examples Argumentum ad populum - Explanation
Argumentum ad populum - Evidence
Argumentum ad populum - Exceptions
Argumentum ad populum - Democracy Argumentum ad populum - Cultural relativity Argumentum ad populum - Safety Argumentum ad populum - Inductive reasoning
Argumentum ad populum - Notes

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David Hume (April 26, 1711 – August 25, 1776*) was a philosopher and historian from Scotland. Along with Adam Smith and Thomas Reid, Hume was one of the most important figures in the Scottish Enlightenment. Many regard Hume as the third and most radical of the so-called British Empiricists, after the English John Locke and the Anglo-Irish George Berkeley. Historians most famously see Humean philosophy as a thoroughgoing form of Skepticism, but many commentators have argued that the element of naturalism has no less importance ...

Including:

David Hume - Career David Hume - Legacy
David Hume - Ideas and impressions David Hume - The problem of causation David Hume - The problem of induction David Hume - The bundle theory of the self David Hume - Practical reason: instrumentalism and nihilism David Hume - Moral anti-realism and motivation David Hume - Free will versus determinism David Hume - The is-ought problem David Hume - Utilitarianism David Hume - The problem of miracles David Hume - The design argument David Hume - Conservatism and political theory
David Hume - Works

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An explanation is a statement which points to causes, context and consequences of some object (or process, state of affairs etc.), together with rules or laws which link these to the object. Some of these elements of the explanation may be implicit. Explanations can only be given by those with understanding of the object which is explained. In scientific research, explanation is one of three purposes of research (other two being exploration and description). Explanation is the discovery and reporting of relationsh ...

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Appeal to tradition, also known as appeal to common practice or argumentum ad antiquitatem is a common logical fallacy in which someone proclaims his or her accuracy by noting that "this is how it's always been done." Essentially: "This is right because we've always done it this way." The assumption behind this argument is that whatever reason led to the old methods of thinking is still valid today. If c ...

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A System of Logic is an 1843 book by English philosopher John Stuart Mill. In this work, he formulated the five principles of inductive reasoning that are known as Mill's methods. A System of Logic - External link. Excerpts from A System of Logic ...

Including:

A System of Logic - External link

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An aptitude is an innate inborn ability to do a certain kind of work. Aptitudes may be physical or mental. Many of them have been identified and are testable. Aptitude - Specific aptitudes. Commonly recognized aptitudes that are testable include: Clerical Checking also called Graphoria Inductive Reasoning aptitude also called Inductive Learning Ability Finger Dexterity aptitude Number Series aptitude Creative Imagination also called Ideaphoria Language Lear ...

Including:

Aptitude - Specific aptitudes Aptitude - Aptitude batteries

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Victor Cousin (November 28, 1792 - January 13, 1867) was a French philosopher. Victor Cousin - Observational Method. The observational method applied to consciousness gives us the science of psychology. This is the basis and the only proper basis of ontology or metaphysics--the science of being--and of the philosophy of history. To the observation of consciousness Cousin adds induction as the complement of his method, by which he means inference as to reality necessitated by the data of consciousness, and r ...

Including:

Victor Cousin - Observational Method Victor Cousin - Three Results of psychological observation Victor Cousin - Doctrine of the Reason Victor Cousin - Comparison to Kant Schelling and Hegel Victor Cousin - The absolute or infinite Victor Cousin - The self

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In logic, abduction is done from a logical theory T representing a domain and a set of observations O. Abduction is the process of deriving a set of explanations of O according to T. For E to be an explanation of O according to T, it should satisfy two conditions: See also:

Abductive reasoning, Abductive reasoning - Logic-based Abduction, Abductive reasoning - Set-Cover Abduction, Abductive reasoning - History of the concept, Abductive reasoning - Applications

Read more here: » Abductive reasoning: Encyclopedia II - Abductive reasoning - Logic-based Abduction

Good argument, as used by philosophers and many others, means simply a sound or cogent argument. If one has offered a sound or cogent argument in defense of one's conclusion, then one has stated a true view, or at least a probably true view. The premises of one's argument support, or, with some sophisticated complications aside, justify one's belief in the conclusion. A good argument is the closest thing we have to a guarantee that a belief is true. If one is armed with a good argument, one has helped to justify one's belief in the c ...

See also:

Cogency, Cogency - Probable, Cogency - Good argument

Read more here: » Cogency: Encyclopedia II - Cogency - Good argument

Although now somewhat past their heyday, AI systems for automated logical inference once were extremely popular research topics, and have known industrial applications under the form of expert systems. An inference system's job is to extend a knowledge base automatically. The knowledge base (KB) is a set of propositions that represent what the system knows about the world. Several techniques can be used by that system to extend KB by means of valid inferences. An additional requirement is that the conclusions the system arrives at are relevant to its task. < ...

See also:

Inference, Inference - The accuracy of inductive and deductive inferences, Inference - Valid inferences, Inference - An example: the classic syllogism, Inference - Automatic logical inference, Inference - An example: inference using Prolog, Inference - Inference and uncertainty, Inference - Common sense and uncertain reasoning, Inference - Bayesian statistics and probability logic, Inference - Frequentist statistical inference, Inference - Fuzzy logic

Read more here: » Inference: Encyclopedia II - Inference - Automatic logical inference