Editing Parity (mathematics) (section)

==History==
The ancient Greeks considered 1, the [[Monad (philosophy)|monad]], to be neither fully odd nor fully even.<ref>{{citation| title=Ancient Greek Philosophy: Thales to Gorgias|author=Tankha|publisher=Pearson Education India| year=2006| isbn=9788177589399| page=126|url=https://books.google.com/books?id=88PFcpKjupAC&pg=PT126}}.</ref> Some of this sentiment survived into the 19th century: [[Friedrich Fröbel|Friedrich Wilhelm August Fröbel]]'s 1826 ''The Education of Man'' instructs the teacher to drill students with the claim that 1 is neither even nor odd, to which Fröbel attaches the philosophical afterthought,
{{blockquote|It is well to direct the pupil's attention here at once to a great far-reaching law of nature and of thought. It is this, that between two relatively different things or ideas there stands always a third, in a sort of balance, seeming to unite the two. Thus, there is here between odd and even numbers one number (one) which is neither of the two. Similarly, in form, the right angle stands between the acute and obtuse angles; and in language, the semi-vowels or aspirants between the mutes and vowels. A thoughtful teacher and a pupil taught to think for himself can scarcely help noticing this and other important laws.<ref>{{citation|last=Froebel|first=Friedrich|title=The Education of Man|year=1885|publisher=A Lovell & Company|location=New York|pages=[https://archive.org/details/educationofman00froe/page/240 240]|url=https://archive.org/details/educationofman00froe|translator-first=Josephine|translator-last=Jarvis}}</ref>}}