Poincaré argued in 'La Science et l'Hypothèse' that geometric conventions are adopted for convenience, so results derived via conventional coordinate assignments carry no stronger necessity than the convention itself.

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Coordinate assignments(the mathematical systems Poincaré is discussing): The specific way you label positions in space using numbers (like x and y on a graph) to describe where things are located.
Geometric conventions(what Poincaré claimed we adopt for convenience): Agreed-upon choices about how to describe space and shapes—like deciding whether to use a flat grid system or a curved one—that mathematicians and physicists pick because they work well, not because one is objectively 'correct.'
La Science et l'Hypothèse(the work being referenced): A famous book by Poincaré titled 'Science and Hypothesis' (published in 1902) where he explores how much of science depends on assumptions and choices scientists make.
Necessity (in philosophy)(describing what kind of claim is being made about supernatural things): Something that must be true or must exist; it couldn't possibly be otherwise (as opposed to something that just happens to be true but could have been different).

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