As nouns the difference between contradiction and falsum
is that
contradiction is (uncountable) the act of contradicting while
falsum is (logic) an arbitrary contradiction, denoted.
contradiction Noun
(uncountable) The act of contradicting.
 His contradiction of the proposal was very interesting.
(countable) A statement that contradicts itself.
 There is a contradiction in what you say  she can't be both married and single.
(countable) a logical incompatibility among two or more elements or propositions
 Marx believed that the contradictions of capitalism would lead to socialism.
(logic, countable) A proposition that is false for all values of its variables.
Synonyms
* (proposition that is false for all values of its variables)
Antonyms
* (proposition that is false for all values of its variables) tautology
Coordinate terms
* (proposition that is false for all values of its variables) contingency, tautology
Related terms
* contradict
* contradictory

falsum Noun
()
(logic) An arbitrary contradiction, denoted .

