Examples of "syllogistic"
In her paper "Stoic Syllogistic" Bobzien sets out the evidence for Stoic syllogistic. She argues that Stoic syllogistic should not be assimilated to standard propositional calculus, but rather treated as a distinct system which bears important similarities to relevance logic.
For another example, consider the syllogistic form
Some syllogistic examples of guilt by association:
'The False Subtlety of the Four Syllogistic Figures" –
Syllogistic fallacies – logical fallacies that occur in syllogisms.
A syllogistic form collected by Robert J. Schihl follows:
In simple syllogistic patterns, the fallacies of invalid patterns are:
The False Subtlety of the Four Syllogistic Figures --
syllogistic logics, the logic of first-order variable-binding term operators, second-order logics,
In Aristotelean syllogistic, they correspond respectively to the two argument forms, Barbara and Celarent.
Campbell believed that Aristotle's syllogistic method is faulty for four reasons:
When the inference is misapplied, the syllogistic fallacy is called an illicit subalternation.
Syllogistic fallacies are formal fallacies that occur in syllogisms. They include:
Aristotle's syllogistic logic, together with the axiomatic method exemplified by Euclid's "Elements", are recognized as scientific achievements of ancient Greece.
However, in a popular 17th century version of the syllogistic, Port-Royal Logic, singular terms were treated as universals:
The False Subtlety of the Four Syllogistic Figures Proved () is an essay published by Immanuel Kant in 1762.
When the four syllogistic propositions, a, e, i, o are placed in the third figure, Aristotle develops six more valid forms of deduction:
The logic of class is a branch of logic that distinguishes valid from invalid syllogistic reasonings by the use of Venn Diagrams.
The essential feature of the syllogistic is that, of the four terms in the two premises, one must occur twice. Thus
Now, William is perhaps best known for a mnemonic poem to help students remember the names of the valid syllogistic forms: