The three divisions of signs identified by Charles Peirce are:

Charles Peirce divided signs into iconic, indexical and symbolic, so statements 3, 4 and 5 hold.

Statement 3, the iconic sign, resembles what it stands for, as a portrait or a map resembles its object.

Statement 4, the indexical sign, points to its object through a real connection, as smoke indicates fire or a weathervane the wind.

Statement 5, the symbolic sign, relates to its object only by convention and agreement, as words and flags do.

Modular in statement 1 is not a Peircean category and names no type of sign relation.

Prescriptive in statement 2 likewise has no place in Peirce's triad of sign types.

This icon, index, symbol trichotomy rests on the kind of relation between the sign and its object.