An Italian mathematician, I am best known for being an assistant of the great mathematician Giuseppe Peano at the University of Turin from 1894 to 1896.
Working on set theory with Peano, I discovered a well-known paradox that reduces to a "set of all sets" difficulty...later discovered by Cantor, but only my name and neither Peano or Cantor are attached to it.
Born in Arezzo, Italy, I graduated from the University of Pisa to become a teacher of mathematics at a local school...then soon moved to Turin to teach analytic projective geometry at the Military Academy for the rest of my life.
Actually, I would have preferred to teach at a university, but my strong belief in vector methods were out of fashion at that time.
but, at this time, these were not in favour....in fact, these views prevented my ever earning a doctorate.
Nonetheless, I was allowed to give a series of lectures on mathematical logic at the University of Turin....so well-received that they were published as a text (recently sold on ebay!).
At the first International Congress of Mathematicians held in Zurich (1897), I presented a paper on the postulates underlying the geometry of both Euclid and of Lobachevsky.
I also researched linear transformations and their applications to differential geometry, ending up with more than 200 publications...yet you probably have never heard my name.
Another strong interest was how to best teach mathematics, which led to my being involved in the "Mathesis" Italian Society of Mathematicians, founded in 1895 and aimed at school teachers of mathematics.
Again, though my name is most associated with Peano, my closest friend and mathematical collaborator was Roberto Marcolongo, to the extent that friends called us the "vectorial binomial" by friends...but this collaboration ended because I never understood the theory of relativity and even published a book claiming to prove that the theory of relativity was impossible.
Cesare Burali-Forti (1861 – 1931)