Tuesday, July 31, 2007

4.04 In a proposition there must be exactly as many things to differentiate as there are in the state of things it represents.

Both must possess the same logical (mathematical) multiplicity. (Compare Hertz’s Mechanics on dynamic models.)

The more a proposition comes to have in common with what it represents, the less distinguishable it is from it.

Monday, July 30, 2007

4.032 Only insofar as it is logically articulated is a proposition a picture of a state of things.

(Even the proposition “ambulo” is composite, because its stem with another ending, or its ending with another stem, gives another sense.)

A proposition must be composite then in order to be a proposition, a picture of a state of affairs, rather than a mere word or name. Apparently simple propositions are really complex, such as the Latin “ambulo” (I walk).