The present article is the first of a trilogy of papers, devoted to analysing the influence of semantic Platonism on contemporary philosophy of language. In the present article, I lay out the discussion by contrasting semantic Platonism with two other views of linguistic meaning: the socio-environmental conception of meaning and semantic anti-representationalism. Then, I identify six points in which the impregnation of semantic theory with Platonism can be particularly felt, resulting in shortcomings and inaccuracies of various kinds. These points are (...) the following: the limitations of regarding logico-philosophical analysis as the only working methodology; the tendency to avoid investigating a number of aspects of linguistic meaning; the recurring confusion between sentences, statements, and propositions; the weakness of transcendent assumptions about meaning; the weakness of meaning assumptions adopted on the basis of pure intuition; and inconsistencies caused by some over-eager attempts to escape semantic Platonism. (shrink)