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Clear reasoning depends entirely on precise linguistic tools because error slips in when words lack fixed meanings. Logic must examine how names signify objects before it can assess whether arguments hold together. A proposition cannot be evaluated for truth without first determining what its constituent terms actually denote.
Names function as signs for external objects and attributes rather than mere private mental impressions. A proper name like London designates a specific individual entity without asserting any quality. Connotative names perform two duties at once, pointing to an entity while indicating an attribute that belongs to it.
Everything that can be named resolves into feelings, minds, bodies, or the attributes of minds and bodies. Feelings encompass sensations, thoughts, and emotions as immediate experiences. Bodies exist as external causes of sensations, while attributes represent the properties or relations that minds perceive among them.
A proposition unites a subject name and a predicate name through a copula to state a judgment. Assertions express belief that two named things co-exist, follow one another, or share an attribute. Understanding the nature of propositions requires analyzing what happens when two terms are linked in belief.
Affirmative propositions do not simply put two ideas together in the mind; they assert a real connection between facts in the physical or mental world. Statements about nature claim that specific phenomena accompany or produce other phenomena. Truth belongs to the alignment between linguistic statements and actual states of affairs.
Verbal propositions merely unfold the definition of a term without adding any fresh knowledge about the world. Statements like all men are rational simply repeat what was already packed into the word man. Real propositions offer genuine instruction by attaching a predicate that is not already contained in the definition of the subject.
Defining a term means stating its full connotation so that others know exactly which attributes it implies. Definitions do not reveal mysterious essential natures of things, but rather the convention governing how a name is applied. A complete definition lists all essential properties necessary to distinguish the class from every other.
True reasoning occurs only when a mind passes from known facts to a hitherto unknown conclusion. Rephrasing an existing statement is a mere transformation of words, not a logical step forward. Syllogisms serve as memory guides for general rules, while actual inference moves from particular observed cases directly to new particular cases.
A foundational study of how language, names, propositions, and logical inference establish objective truth about the world.