A syllogism (Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion...

syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument form which is a syllogism...

In classical logic, a hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises...

Legal syllogism is a legal concept concerning the law and its application, specifically a form of argument based on deductive reasoning and seeking to...

The politician's syllogism, also known as the politician's logic or the politician's fallacy, is a logical fallacy of the form: We must do something....

Aristotle identifies valid and invalid forms of arguments called syllogisms. A syllogism is an argument that consists of at least three sentences: at least...

Quasi-syllogism is a categorical syllogism where one of the premises is singular, and thus not a categorical statement. For example: All men are mortal...

A statistical syllogism (or proportional syllogism or direct inference) is a non-deductive syllogism. It argues, using inductive reasoning, from a generalization...

is taken to be common sense. However, where the general premise of a syllogism is supposed to be true, making the subsequent deduction necessary, the...

syllogistic logic, there are 256 possible ways to construct categorical syllogisms using the A, E, I, and O statement forms in the square of opposition....

De Morgan (1850) "On the syllogism, No. II". De Morgan (1858) "On the syllogism, No. III". De Morgan (1863) "On the syllogism, No. V". De Morgan 1860....

The practical syllogism is an instance of practical reasoning which takes the form of a syllogism, where the conclusion of the syllogism is an action....

of propositions forming together a sequence of syllogisms such that the conclusion of each syllogism, together with the next proposition, is a premise...

There are no clouds in the sky. Thus, it is not raining. A hypothetical syllogism is an inference that takes two conditional statements and forms a conclusion...

generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is...

syllogisms as formulated in Aristotle's Categories, De interpretatione and Prior Analytics. In the spirit of Aristotle, they considered the syllogism...

A prosleptic syllogism (/prəˈslɛptɪk/; from Greek πρόσληψις proslepsis "taking in addition") is a class of syllogisms that use a prosleptic proposition...

that occurs when a syllogism has four (or more) terms rather than the requisite three, rendering it invalid. Categorical syllogisms always have three terms:...

true, i.e., unicorns exist (this inference is known as the Disjunctive syllogism). The procedure may be repeated to prove that unicorns do not exist (hence...

argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q. Not Q. Therefore, not P." It is...

affirmative premises is a syllogistic fallacy committed when a categorical syllogism has a negative conclusion yet both premises are affirmative. The inability...

Theories of the Syllogism". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy. Lagerlund, Henrik. "Medieval Theories of the Syllogism". In Zalta...

fallacies that occur in syllogisms. Affirmative conclusion from a negative premise (illicit negative) – a categorical syllogism has a positive conclusion...

(illicit negative) is a formal fallacy that is committed when a categorical syllogism has a positive conclusion and one or two negative premises. For example:...

of inductive reasoning include generalization, prediction, statistical syllogism, argument from analogy, and causal inference. There are also differences...

(r\to q)} by φ0. We also use repeatedly the method of the hypothetical syllogism metatheorem as a shorthand for several proof steps. (1) φ 0 {\displaystyle...

disjunctive syllogism. From the perspective of dialetheism, it makes perfect sense that disjunctive syllogism should fail. The idea behind this syllogism is that...

categorical syllogism is not distributed in either the minor premise or the major premise. It is thus a syllogistic fallacy. In classical syllogisms, all statements...

the constructive dilemma, the destructive dilemma or the disjunctive syllogism. False dilemmas are usually discussed in terms of deductive arguments...

conditional reasoning, relation reasoning and transitive reasoning. A syllogism is a kind of logical argument in which one proposition (the conclusion)...