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Reasoning depends entirely on the clarity of the terms in which thoughts are expressed. Flaws in argumentation often arise from ambiguous words rather than faulty mental steps. By analyzing how language functions as an instrument of thought, logic secures a firm foundation before evaluating arguments.
Names operate either by designating a specific entity or by implying attributes. A proper name like Dartmouth points to a single place without describing its qualities, whereas a general term like white connotes a specific property shared across objects. Distinguishing connotative names from non-connotative ones reveals how words carry meaning.
Names refer to real phenomena rather than abstract concepts existing only in the mind. These phenomena encompass sensations, mental states, physical bodies, and their attributes. When a term refers to gold, it denotes a tangible physical substance capable of producing distinct sensory impressions.
Every proposition joins a subject to a predicate through a copula to form a complete assertion. Whether affirmative or negative, universal or particular, a proposition moves beyond isolated names to declare a judgment. This structural union forms the basic unit of all judgment and argument.
Real propositions assert relationships among facts in the world, such as existence, sequence, or causation. When asserting that all humans are mortal, the statement claims that the attributes defining humanity are invariably followed by mortality. Understanding this empirical import distinguishes genuine knowledge from mere linguistic repetition.
Verbal propositions do nothing more than unfold the definition of a word without conveying new facts. Stating that a triangle has three sides provides linguistic clarification rather than physical discovery. Logic must separate these verbal truisms from real propositions that expand knowledge of the universe.
A foundational guide to empirical reasoning, scientific induction, and the logical structure of human knowledge.