It is consistent that there is a partial order (P, ≤) of size N1 such that every monotone function f : P → P is first order definable in (P, ≤).
CITATION STYLE
Goldstern, M., & Shelah, S. (1997). A partial order where all monotone maps are definable. Fundamenta Mathematicae, 152(3), 255–265. https://doi.org/10.4064/fm-152-3-255-265
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