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.
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.