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We present the consolidated scientific case for multi-object spectroscopywith the MOSAIC concept on the European ELT. The cases span the full range ofELT science and require either 'high multiplex' or 'high definition'observations to best exploit the excellent sensitivity and wide field-of-viewof the telescope. Following scientific prioritisation by the Science Teamduring the recent Phase A study of the MOSAIC concept, we highlight four keysurveys designed for the instrument using detailed simulations of itsscientific performance. We discuss future ways to optimise the conceptualdesign of MOSAIC in Phase B, and illustrate its competitiveness and uniquecapabilities by comparison with other facilities that will be available in the2020s.

Simulating Surveys for ELT-MOSAIC: Status of the MOSAIC Science Case after Phase A