### Structures and Morphisms

##### Mathematical Structures from Bounded Infinity

Valid mathematical structures must be able to translate to valid quantitative structures of relations between numbers. Structures and Morphisms explores the general structure of number relations in terms of the unary and infinite number bases, and proposes that all mathematical structures are structures of bounded infinity. The discussion of the nature of structures or relations between objects is in terms of the graph of relations between identical and non-identical objects. Non-identicalness is described as an artefact of structures and their morphisms, which can all be derived from bounded infinity. Even unbounded infinities are described as equivalent to bounded infinities.