Heuristically

But he did not think that the two ideas could be satisfactorily identified "except heuristically".

Here the term yoga denotes a kind of "meta-theory" that can be used heuristically; Michel Raynaud writes the other terms "Ariadne's thread" and "philosophy" as effective equivalents.

Paul Erdős heuristically argued there should be infinitely many Carmichael numbers.

Some IRC clients are now capable of reading messages both in ISO 8859-1 or UTF-8 in the same channel, heuristically autodetecting which encoding is used.