Paraguayan Guarani does not overtly mark tense in its inflectional system. Prior accounts of languages without obligatory morphological tense have posited a phonologically covert lexical tense, or have introduced tense semantics via a rule, in the post-syntactic interpretative component. We offer a more radical approach: Paraguayan Guarani does not have tense at the level of lexical or logical semantics. We propose that evaluation time shift, a mechanism independently attested in the narrative present in languages with tense, is more widely used (...) in Paraguayan Guarani for encoding temporal meaning. The broader consequence of our proposal is that tense is not a linguistic universal. (shrink)