"Inductive reasoning is a method of reasoning in which a general principle is derived from a body of observations."
The process of reasoning from specific cases to general principles.
Inductive reasoning: A type of reasoning that involves making generalized conclusions based on specific observations or instances.
Problem of induction: The philosophical question of whether or not it is possible to justify inductive reasoning.
Inductive skepticism: The position that we cannot fully trust conclusions reached through inductive reasoning.
Causal inference: The process of determining the cause of an event or phenomenon through inductive reasoning.
Statistical inference: The process of making predictions or drawing conclusions about a population based on a sample of data.
Bayes' theorem: A mathematical formula that relates conditional probabilities, often used in statistical inference.
Scientific method: A systematic approach to scientific inquiry that involves testing hypotheses through observation and experimentation.
Falsifiability: The idea that scientific claims must be able to be tested and potentially proven false.
Confirmation bias: The tendency to interpret information in a way that supports pre-existing beliefs or hypotheses.
Heuristics: Mental shortcuts or rules of thumb used in problem-solving and decision-making, often based on past experience or knowledge.
Mathematical Induction: A proof technique used to demonstrate that a statement holds for all positive integers, by showing that it holds for the base case and then showing that if it holds for some arbitrary positive integer, it necessarily holds for the next integer as well.
Inductive Reasoning: A process of reasoning in which a conclusion is inferred based on a set of observed patterns or data, rather than on deductive logic.
Strong Induction: A variant of mathematical induction in which the induction hypothesis assumes that the statement holds for all integers less than a particular value, rather than just for the previous integer.
Analogical Induction: A form of reasoning that extrapolates from one context or domain to another, based on a perceived similarity or parallelism between the two.
Statistical Induction: A form of inductive reasoning that infers generalizations about a population from a sample or subset of that population.
Abductive Reasoning: Also known as inference to the best explanation, a form of reasoning that generates explanatory hypotheses to account for observed phenomena.
Reverse Induction: A proof technique used to derive a conclusion by assuming the conclusion and then showing that it implies some previously unknown fact.
Causal Induction: A form of reasoning or inference that infers a causal relationship between two events or phenomena.
Deduction: A process of reasoning that derives a new conclusion from established premises through logical inference.
Retroductive Reasoning: A form of abductive reasoning in which a hypothesis is generated to explain a given phenomenon, and then tested for its retrodictive power to account for past observations.
Indifferent Induction: A form of inductive reasoning that assumes that all members of a class share a certain property or attribute, unless evidence to the contrary is presented.
Bayesian Induction: A probabilistic form of reasoning that assigns probabilities to hypotheses based on prior knowledge and observed data.
"It consists of making broad generalizations based on specific observations."
"Inductive reasoning is distinct from deductive reasoning, where the conclusion of a deductive argument is certain given the premises are correct."
"The truth of the conclusion of an inductive argument is probable, based upon the evidence given."
"Deductive reasoning is where the conclusion of a deductive argument is certain given the premises are correct."
"The conclusion of a deductive argument is certain given the premises are correct, in contrast to the truth of the conclusion of an inductive argument."
"A general principle is derived from a body of observations."
"Making broad generalizations based on specific observations."
"The truth of the conclusion of an inductive argument is probable."
"The conclusion of a deductive argument is certain given the premises are correct."
"Based upon the evidence given."
"The truth of the conclusion of an inductive argument is probable."
"Inductive reasoning is distinct from deductive reasoning."
"A method of reasoning in which a general principle is derived from a body of observations."
"Making broad generalizations based on specific observations."
"The truth of the conclusion of an inductive argument is probable."
"The conclusion of a deductive argument is certain given the premises are correct..."
"based upon the evidence given."
"where the conclusion of a deductive argument is certain given the premises are correct."
"the truth of the conclusion of an inductive argument is probable, based upon the evidence given."