Kant ("I maintain that…”):

this quote is found in the preface of the Metaphysical Foundations of Natural Science (1786), a systematic attempt at finding the notion of a true science.  He defines true science as thinking which is a system, rational, can be demonstrated & allows for the application of mathematics.  The purpose of mathematics in sciences was to allow for the measurability of the objects; only doctrines dealing with measurable magnitudes were deemed science.  Using this definition Kant then uses it to exclude chemistry and psychology as true science.

 

Orders:

reference to the idea of Categorization, an activity that consists of putting things (objects, ideas, or people), into categories (classes, types, index) based on similarities or common criteria; synonymous with classification; allows for the organizing of things, objects & ideas existing around them & thereby simplify their understanding of the world.

 

ab initio:

Latin, meaning from the beginning