The phrase "according to logic" indicates a logical and reasonable statement. It can be replaced with synonyms such as "rationally speaking", "judiciously", "logically", "reasonably", "sensibly", "conclusively", or "plausibly". These synonyms denote that a statement has been made based on a logical thought process and is supported by facts or evidence. They can be employed in academic writing, legal documents, or any other context that requires a logical and well-supported argument. Using synonyms for "according to logic" can add variety and depth to writing while ensuring that an argument is well-constructed and persuasive.