Tractatus Logico-Philosophicus · Chapter
6.002 explained
This brief remark asserts that once the general form of proposition construction is known, the general form of generating new propositions from old ones via operations is also given.
What happens
This brief remark asserts that once the general form of proposition construction is known, the general form of generating new propositions from old ones via operations is also given.
Themes in this chapter
Logic and Tautology
The general form of proposition and operation is a logical scaffolding underlying all meaningful propositions.
Key passages
“If we are given the general form of the way in which a proposition is constructed, then thereby we are also given the general form of the way in which by an operation out of one proposition another can be created.”
Knowing the essential structure of any proposition automatically reveals how to transform one proposition into another through logical operations.
This connects the general form of propositions to the possibility of logical inference and truth-functional composition.