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syllogism

A syllogism (, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.

AI overview

A syllogism is a type of logical argument where you start with two statements that are assumed to be true and use deductive reasoning to reach a conclusion. It matters because it provides a structured way to test whether conclusions actually follow logically from the statements that support them.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, syllogism is referenced by 929 other articles, and connects out to categorical proposition, semantic theory of truth and mathematical logic.

It sits within the topics Ancient Greek logic, Arguments and Syllogism.

Its subject is documented across 66 Wikipedia language editions.

Wikidata facts

Image: Syllogismus-Beispiel.svg

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Commons category: Syllogisms

Sources (5)

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~27 min read

Encyclopedic overview

30 sections

Contents

Early history
Aristotle
Medieval syllogism
Boethius
Peter Abelard
Jean Buridan
Modern history
Boole's acceptance of Aristotle
Basic structure
Polysyllogism
Types
Examples
Barbara (AAA-1){{anchor|Modus Barbara}}
Celarent (EAE-1){{anchor|Modus Celarent}}
Darii (AII-1){{anchor|Modus Darii}}
Ferio (EIO-1){{anchor|Modus Ferio}}
Baroco (AOO-2){{anchor|Modus Baroco}}
Bocardo (OAO-3){{anchor|Modus Bocardo}}
''Barbari (AAI-1)''{{anchor|Modus Barbari}}
''Celaront (EAO-1)''{{anchor|Modus Celaront}}
''Camestros (AEO-2)''{{anchor|Modus Camestros}}
''Felapton (EAO-3)''{{anchor|Modus Felapton}}
''Darapti (AAI-3)''{{anchor|Modus Darapti}}
Table of all syllogisms
Syllogistic fallacies
Other types
See also
References
Sources
External links

In its earliest form (defined by Aristotle in his 350 BC book Prior Analytics), a deductive syllogism arises when two true premises (propositions or statements) validly imply a conclusion, or the main point that the argument aims to get across. For example, knowing that all men are mortal (major premise), and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form:

Excerpted from Wikipedia’s “syllogism” article, available under the CC BY-SA 4.0 licence.