False, wrong mean not in conformity with what is true or right.
False in all of its senses is colored by its original implication of deceit; the implication of deceiving or of being deceived is strong when the term implies a contrariety between what is said, thought, or concluded and the facts or reality.
An intent to deceive or a deceptive appearance is implied when the term connotes an opposition to what is real or genuine or authentic.
The term is applied in vernacular names of plants to a kind related to, resembling, or having properties similar to another kind that commonly bears the unqualified vernacular.
Even when the word stresses faithlessness (see FAITHLESS ) there is usually a hint of a deceptive appearance of faithfulness or loyalty or of self-deception in one’s failure to be true. Only in the sense of incorrect or erroneous is this implication obscured, though there is often a suggestion of being deceived into believing that the thing so described is true or right.
Wrong, on the other hand, is colored in all of its senses by its original implication of wryness or crookedness; in general it implies a turning from the standard of what is true, right (especially morally right), or correct to its reverse. In comparison with false, wrong is simple and forthright in its meaning; thus, a wrong conception is one that is the reverse of the truth, but a false conception is not only wrong but the result of one’s being deceived or of one’s intent to deceive; a wrong answer to a question is merely an erroneous answer, but a false answer to a question is one that is both erroneous and lying; wrong principles of conduct are the reverse of ethically right principles, but false principles of conduct are not only wrong but are bound to lead astray those who accept them.