Acknowledgments

Thank you to my fellow math­e­mati­cian Michaël Per­reault for the depth of knowl­edge to see the on­tol­ogy present in Arith­moí. The help he ren­dered with edit­ing and the clar­i­fi­ca­tion of ideas was in­valu­able. Arith­moí would not be the same if not for his ded­i­ca­tion to the project.

A deep debt of grat­i­tude is owed on my part to the phi­los­o­phy of Mike Hock­ney and the in­flu­ence it had on my view­point of math­e­mat­ics and its on­tol­ogy, which served as my mo­ti­va­tion to study math­e­mat­ics. My humble grat­i­tude is given to the math­e­mat­i­cal writ­ings of John Still­well and Tevian Dray, who both pos­sess the abil­i­ty to relay pro­found con­cepts clear­ly and con­cise­ly that is not ob­fus­cat­ed by se­man­tics, which were piv­otal in the de­vel­op­ment of my un­der­stand­ing. I am also for­ev­er in­debt­ed to the greats of math­e­mat­ics, Leib­niz, Euler, Gauss, Rus­sell, and Noe­ther, just to name a few, with­out which we would lack the foun­da­tion to build upon. To the math­e­mati­cian physi­cist Bohm and Pen­rose, thank you for making the mind a pri­or­i­ty in your works.

Thank you to Markus Ho­hen­warter and the other de­vel­op­ers of Ge­oge­bra at http://www.ge­oge­bra.com, which was used ex­ten­sive­ly to make most of the fig­ures in this book, and for the re­main­ing images, I thank the de­vel­op­ers at wol­fra­mal­pha.com. And fi­nal­ly, many thanks to the de­vel­op­ers of MATLAB, as this soft­ware was used for many of the Schur de­com­po­si­tions and sym­bol­ic matrix cal­cu­la­tions used in this work.