You're correct, but only for fertilized eggs. Unfertilized eggs are single cells.
Surrounded by a bunch of stuff that isn’t the ovum. “There is at most one cell in an unfertilized bird egg” is not the same as “an unfertilized bird egg is one cell and nothing more”.
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Surrounded by a bunch of stuff that isn’t the ovum. “There is at most one cell in an unfertilized bird egg” is not the same as “an unfertilized bird egg is one cell and nothing more”.