In mathematics and logic, ambiguity can be considered to be an instance of the logical concept of underdetermination—for example,  leaves open what the value of X is—while its opposite is a self-contradiction, also called inconsistency, paradoxicalness, or oxymoron, or in mathematics an inconsistent system—such as , which has no solution.
ɪn mˌæθɪmˈæɾɪks ænd lˈɑːdʒɪk, ˌæmbɪɡjˈuːɪɾi kæn biː kənsˈɪdɚd təbi ɐn ˈɪnstəns ʌvðə lˈɑːdʒɪkəl kˈɑːnsɛpt ʌv ˌʌndɚdɪtˌɜːmᵻnˈeɪʃən—fɔːɹ ɛɡzˈæmpəl,  lˈiːvz ˈoʊpən wʌt ðə vˈæljuː ʌv ˈɛks ɪz—wˌaɪl ɪts ˈɑːpəzˌɪt ɪz ɐ sˈɛlfkˌɑːntɹədˈɪkʃən, ˈɔːlsoʊ kˈɔːld ɪŋkənsˈɪstənsi, pˌæɹədˈɑːksɪkəlnəs, ɔːɹ ˌɑːksɪmˈoːɹɑːn, ɔːɹ ɪn mˌæθɪmˈæɾɪks ɐn ɪŋkənsˈɪstənt sˈɪstəm—sˈʌtʃ ɐz , wˌɪtʃ hɐz nˈoʊ səlˈuːʃən.