Objective Mathematics

Objective Mathematics is an ongoing project which aims to make mathematics objective, by connecting it to reality. This will be done by painstakingly going through each math concept, and thinking about the concrete, perceptual data to which it ultimately refers. If a math concept is not reducible to perceptual concretes, it is invalid; it is a floating abstraction. Objective Mathematics rejects Platonism: math concepts are not Platonic forms inhabiting an otherworldly realm, but rather they refer to physical, perceivable things. Objective Mathematics rejects Intuitionism: math is not a process of construction, but rather a process of identification. Objective Mathematics rejects Formalism and Logicism: math is not a meaningless game of symbol manipulation, but rather its statements have semantic content (just like propositions about dogs, tea, beeswax, or anything else).

What is right with standard mathematics

Standard mathematics has high standards of proof.

Standard mathematics is more conceptual than perhaps any other field.

Standard mathematics