A Defence of Free Thinking in Mathematics

When I read your Defence of the British Mathematicians, I could not Sir, but admire your Courage in asserting with such undoubting Assurance things so easily disproved. This to me seemed unaccountable, till I reflected on what you saywhen upon my having appealed to every thinking Reader, whether it be possible to frame any clear Conception of Fluxions, you express your self in the following manner, ?Pray sir who are those thinking Readers you appeal to? Are they Geometricians or Persons wholly ignorant of Geometry? If the former I leave it to them: if the latter, I ask how well are they qualified to judge of the Method of Fluxions?? It must be acknowledged you seem by this Dilemma secure in the favour of one Part of your Readers, and the ignorance of the other. I am nevertheless persuaded there are fair and candid Men among the Mathematicians. And for those who are not Mathematicians, I shall endeavour so to unveil this Mystery, and put the Controversy between us in such a Light, as that every Reader of ordinary Sense and Reflection may be a competent Judge thereof.