Insights · Michaël PerreaultFoundations for Mathematical Reality

Insights

Fool No More

We drudge our­selves with the basics such as arith­metic and geom­e­try in school, enough to get out of those un­com­fort­able chair of the class­room and into the real world of the market and demand for your time and at­ten­tion. For some of us, we pursue the hard sci­ence and learn the math­e­mat­ics that goes along the field we chose. Most often than not, we use math­e­mat­ics as we use a hammer, to get the job done and move on with our lives.

But what if this way of teach­ing, this way of know­ing and pon­der­ing about re­al­i­ty was just a mere re­flec­tion, a poor sim­u­lacrum of what math­e­mat­ics truly is.

We invite the reader to think about and ex­plore the realm of num­bers as one would play around and ex­plore the realm of notes on a grand piano in a dark and cozy room: you are the master of your thoughts, may you find gra­cious math­e­mat­ics within the paths of your mind...

Strike a chord, be bold: Do the math.

In the fol­low­ing text, we briefly ex­plore the pow­er­ful math­e­mat­i­cal object known as group theory—a foun­da­tion that un­der­lies much of number theory, sym­me­try, and the math­e­mat­i­cal struc­ture of re­al­i­ty.

The goal of the present text is to open the mind to a fruit­ful, en­er­giz­ing and healthy re­la­tion­ship with math­e­mat­ics.