Erect comes from the Latin word erectus, meaning  âupright, elevated, loftyâ or âeager, alert, aroused.â Erect is a verb, as in, it will take you years to erect your replica of the Eiffel Tower using only gum and toothpicks. Erect is also an adjective, as in something that is tall, firm, straight or rigid, like a half-dead plant that becomes more erect when you water it.
mathematical - characterized by the exactness or precision of mathematics; mathematical precision. math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement.
Haskell Curry defined mathematics simply as the science of formal systems. A formal system is a set of symbols, or tokens, and some rules telling how the tokens may be combined into formulas. In formal systems, the word axiom has a special meaning, different from the ordinary meaning of a self-evident truth.