Final answer:
The statement is false; a contradiction would not have a wedge (the symbol for disjunction) as its main connective since it's associated with conjunctions, not disjunctions.
Step-by-step explanation:
The statement that no contradiction has a wedge as its main connective is false. In logic and philosophy, a contradiction refers to a compound statement that is always false, regardless of the truth values of its constituent propositions. The wedge is a symbolic representation of the logical operator for 'or' (disjunction). However, a contradiction is most closely associated with the negation of a tautology, or an 'and' statement where the two parts are mutually exclusive (symbolized by an upside down wedge or a dot in some systems). Therefore, a contradiction typically would not have a wedge (disjunction) as the main connective; it would be a logical 'and' (conjunction), which is not a wedge but rather its own distinct symbol.