stepwise refinement and top down

Just looking to double check if I am right with my thinking of these two. From what I have read, top down is just breaking a bigger task into smaller tasks which would be easier to manage. step-wise would then be using the top down tasks and breaking them down even more into even smaller tasks. Is that right?
I'm too lazy to read wikipedia so I just copy you the link

https://en.wikipedia.org/wiki/Top-down_and_bottom-up_design
The wiki lists it as the same as top down, which I thought it was at first, but then I read some other sites that stated it was different, but didnt give a great explanation on how
Humans can't eat an entire whole cow. It has to be cut up into smaller pieces.

Treat ONE part of software design similar. The smaller the current task the easier to tackle and beat into submission.
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