Definition:Proposition/Also defined as

Proposition: Also defined as

Some sources, while appreciating the need under certain circumstances to do so, do not distinguish between the concept of a statement, as defined here on $\mathsf{Pr} \infty \mathsf{fWiki}$, and a proposition, using the terms interchangeably:

There are good reasons, which fortunately we do not need to go into, for avoiding the term 'proposition'. On the other hand, we shall, in the early sections of this book, be working with what is known as the Propositional Calculus. We shall use the terms 'statement' and 'proposition' interchangeably.

1980: D.J. O'Connor and Betty Powell: Elementary Logic: $\S 1.1$

This practice is often seen in the field of mathematical logic.

Sources

• 1965: E.J. Lemmon: Beginning Logic ... (previous) ... (next): Chapter $1$: The Propositional Calculus $1$: $1$ The Nature of Logic
• 1980: D.J. O'Connor and Betty Powell: Elementary Logic ... (previous) ... (next): $\S \text{I}: 1$: The Logic of Statements $(1)$
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): proposition (in mathematical logic)