Letters arrived yesterday from Paris declare it was asserted in that metropolis, that Dr. Franklin had so far succeeded in his negociation, as to have obtained leave from Administration for several French privateers to act under the authority of the Congress, and make reprisals on the English, and that upwards of sixty vessels were actually fitting out at Brest, Rochelle, Nantz, and other ports for the above purpose. A circumstance, if true, which must inevitably produce an immediate war with France.

We are assured, whatever hostile intentions the French may adopt, they will never be able to carry them into execution by uniting in a marine war with the Americans; as the British navy, from the unremitting attention of the noble Lord at the head of the Admiralty, is in a more respectable state than it has been at any time since the late war.