Final answer:
In classical logic, it is true that contradictions entail all other formulas, adhering to the principle of explosion where any statement can be inferred from a contradiction.
Step-by-step explanation:
The notion that contradictions entail all other formulas is a principle in classical logic known as the principle of explosion, which states that from a contradiction, any statement can be validly inferred. According to this principle, if you have a statement that is both true and false at the same time (a contradiction), then you can logically infer any conclusion from it. This seems counterintuitive, but in classical logic, it makes perfect sense because a system that has a contradiction is fundamentally flawed; hence, it loses all its explanatory power. Therefore, the statement that contradictions entail all other formulas is generally considered True within the context of classical logic.