(2) Kinds of logical propositions. Categorical Hypothetical Disjunctive (3) The four elements of a categorical proposition. (4) Logical and grammatical subject and predicate distinguished. (5) The four kinds of categorical propositions. Universal affirmative A Universal negative E Particular affirmative I Particular negative O (6) Propositions which do not conform to the logical type. Indefinite and elliptical Grammatical sentences Individual Plurative Partitive Exceptive Exclusive Inverted (7) Propositions not necessarily illogical. Analytic and synthetic Modal and pure Truistic (8) The relation between subject and predicate of the four logical propositions. Euler’s diagrams Distribution of subject and predicate Uaesneop Asebinop Saepeo =10. SUMMARY.= (1) A logical proposition is a judgment expressed in words. (2) The three kinds of logical propositions are categorical, hypothetical, disjunctive. A categorical proposition is one in which the assertion is made unconditionally. A hypothetical proposition is one in which the assertion depends upon a condition. A disjunctive proposition is one which asserts an alternative. The most common word-signs of the categorical proposition are “all,” “no,” “some” and “some-not,” of the hypothetical, “if” and of the disjunctive, “either-or.” (3) Every logical categorical proposition has the four elements: quantity sign, subject, copula and predicate. The quantity sign indicates the extension of the proposition; the logical subject is that of which something is affirmed or denied; the logical predicate is the term which is affirmed or denied of the subject; the copula is always some form of “to be” and is used to connect subject and predicate. “_Not_” is sometimes used with the copula. The statements of ordinary conversation are usually not expressed in terms of the four elements, but must be, before they can be used in testing arguments. (4) One word usually constitutes the grammatical subject while a word with all its modifiers goes to make up the logical subject. The verb with any predicate word is the grammatical predicate. The logical predicate is all which follows the copula――it may include the predicate-word and all its modifiers as well as the modified object. (5) Categorical propositions are divided into four kinds; universal affirmative (A), universal negative (E), particular affirmative (I), particular negative (O). For the sake of brevity these four are respectively denoted by the vowels A, E, I, O. An A proposition is one in which the predicate affirms something of _all_ of the logical subject. An E proposition is one in which the predicate denies something of _all_ of the logical subject.