In the article There’s more to mathematics than rigour and proofs, there is a term "judicious extrapolation":
It is of course vitally important that you know how to think rigorously, as this gives you the discipline to avoid many common errors and purge many misconceptions. Unfortunately, this has the unintended consequence that “fuzzier” or “intuitive” thinking (such as heuristic reasoning, judicious extrapolation from examples, or analogies with other contexts such as physics) gets deprecated as “non-rigorous”.
A Google search for "judicious extrapolation" yields several results, suggesting that "judicious extrapolation" is a term. Some examples are:
- "The procedure is based on available data combined with judicious extrapolation of design information on plant structures and equipment."
- "Full configuration interaction calculations carried out in conjunction with careful optimization of basis sets and judicious extrapolation schemes"
Wikipedia doesn't mention anything about this.
Is this a term? If yes, what does it mean?
The term judicious simply means "with good judgement/sense", so judicious extrapolation is extrapolation that's performed in a scientifically or mathematically reasonable manner. It's not really a set phrase, as the term judicious can be applied to any activity to indicate that it is a reasonable thing to do. It's just an adjective + noun pair, and the meaning of either word individually is unchanged when putting them together.