It has long been accepted that one of Levinas’ major concerns is to establish an ethics of responsibility for the ‘other.’ Yet it has been deemed for decades, even by Levinasians, that his approach to that concern is ‘unsystematic’ and ‘not consistent.’ That situation arose because Levinas’ four terms for ‘other’ are difficult to translate, so his terms were first addressed by adopting English conventions. Such conventions have furthered Levinas scholarship, but our aim is to consider Levinas’ consistency: Hence we (...) undertake the first English-language assessment of the rigour of Levinas’ approach in 1961 to the ‘other’ by means of all four terms. To do so, we follow a ‘formal structure’ that Levinas develops from the tradition of phenomenological logic—mostly Husserl’s. We hope the result will palliate worries about Levinas’ rigor, and allow new ways to engage with his work. (shrink)