A DEFENCE OF FREE-THINKING
Edited by David R. Wilkins
NOTE ON THE TEXT
This text is based on the edition of the Defence of free-thinking in mathematics published
in Dublin in 1735. The copy consulted is that in the Library of Trinity College, Dublin.
The spelling, punctuation and capitalization of this edition follows closely (but is not
identical to) that of the 1735 Dublin edition.
The use of quotation marks follows modern practice, and does not correspond to that of
the original 1735 text.
Departures from the 1735 Dublin edition include the following:—
Sect VIII: parentheses have been added in the first sentence.
Sects. XXI, XLI, XLIV: references to numbers of sections of the Analyst in footnotes
have been changed from roman numerals to arabic numerals, for consistency with similar
references to the Analyst elsewhere.
Sect XXVII: the mathematical formula ‘aB + bA’ was incorrectly printed as ‘aB x bA’
throughout this section in the 1735 Dublin edition.
Sects. XXX, XXXXIII, XXXIV: ‘later’ has been changed to ‘latter’, following mod-
ern editions. (N.B., the word is spelled ‘latter’ in Sect. I. in the 1735 Dublin edition.)
Sect XXXII: italics have been added to ‘ad infinitum’.
Sects. XXXIII, XXXXVI, and Appendix, IV: ‘Introduction to his Quadratures’
has been changed to ‘Introduction to the Quadratures’. In the first instance the change
was noted in the errata to the 1735 Dublin edition (‘P. 36. for his read the’), and the
remaining instances have also been changed, as in some modern editions, for consistency.
Sect XLVII: italics have been added to ‘Triangle’ to be consistent with the phrase ‘the
word Colour ’ in the previous sentence.
In addition to the above, some obvious typographical errors in the 1735 Dublin edition
have been corrected without comment.
David R. Wilkins
Dublin, May 2002
To a Pamphlet of Philalethes Cantabrigiensis, intituled, Geometry no Friend
to Infidelity, or a Defence of Sir Isaac Newton, and t