Noun Phrase
/ɪˈnjuːməˌreɪtɪv ɪnˈdʌkʃən/
Enumerative induction is a form of reasoning in which one derives a general principle from a finite set of observations. This method is employed frequently in scientific reasoning and statistics, where conclusions are drawn based on collected data points. It is a foundational concept in logic and philosophy, particularly in discussions about the justification of generalizations.
Frequency of Use: The term is more common in academic and formal contexts, particularly in philosophy, logic, and statistical fields. Although it may not be prevalent in everyday conversation, it holds significant weight in scholarly discussions and writings.
Example Sentences:
1. "Many scientists rely on enumerative induction to formulate hypotheses based on their experiments."
"Viele Wissenschaftler verlassen sich auf die enumerative Induktion, um Hypothesen auf der Grundlage ihrer Experimente zu formulieren."
"The process of enumerative induction can sometimes lead to erroneous conclusions if the sample size is not representative."
"Der Prozess der enumerative Induktion kann manchmal zu fehlerhaften Schlussfolgerungen führen, wenn die Stichprobengröße nicht repräsentativ ist."
"In philosophy, enumerative induction is often debated in terms of its reliability and validity."
"In der Philosophie wird die enumerative Induktion oft hinsichtlich ihrer Zuverlässigkeit und Gültigkeit diskutiert."
The term enumerative induction is not typically associated with idiomatic expressions; rather, it is mainly used in specialized discourse. However, the concept can relate to broader areas of discussion about induction in general.
Here are some idiomatic expressions related to induction:
“Die Fehlannahme einer voreiligen Verallgemeinerung kann gefährlich sein.”
“The fallacy of hasty generalization can be dangerous.”
"From the particular to the general" - A common phrase indicating how specific observations can lead to broader conclusions.
“Von den Besonderheiten zur Allgemeinen zu gelangen, ist oft schwierig.”
“Moving from the particular to the general is often difficult.”
"Induction is key" - Emphasizing the importance of inductive reasoning in understanding trends.
The term "enumerative induction" derives from: - Enumerative: From Latin "enumerare," meaning "to count" or "to enumerate," combined with the suffix "-ive," indicating a tendency or relation. - Induction: From Latin "inductio," meaning "a leading in" or "introduction," from "inducere," which means "to lead in."
Synonyms: - Inductive reasoning - Generalization - Statistical inference
Antonyms: - Deductive reasoning - Specificity - Particularization
This structured explanation provides a comprehensive overview of the term "enumerative induction," including its usage, examples, related idiomatic expressions, and etymology.