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

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....

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

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

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....

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

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

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...

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....

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

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...

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

different patterns of valid arguments, such as modus tollens, disjunctive syllogism, constructive dilemma, and existential generalization. Rules of inference...

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....

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

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

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...

committed in a categorical syllogism that is invalid because both of its premises are negative. Example of an EOO-4 type invalid syllogism E Proposition: No cats...

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...

other, the third thema, was a cut rule by which chain syllogisms could be reduced to simple syllogisms.[e] The importance of these rules is not altogether...

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

definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition marked as the...

considerations that can produce only belief." His account of the syllogism is as follows: Bryson's syllogism on the squaring of the circle was of this sort, it is...

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...

First-order equational logic consists of quantifier-free terms of ordinary first-order logic, with equality as the only predicate symbol. The model theory...

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...

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

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

In Reformed theology, the practical syllogism (Latin: syllogismus practicus): 135  is a concept relating assurance of salvation to evidence in a person's...

Therefore, Q must also be true." Modus ponens is a mixed hypothetical syllogism and is closely related to another valid form of argument, modus tollens...