*entirely*of relations.

Whereas other studies consist of objects and their relations to properties or their relations to one another (for example, in biology we say that the platypus is a mammal that lays eggs, which could be cast as a statement about how a platypus relates to the mammal property and the egg laying property; in history we say that in 49 B.C. Julius Caesar crossed the Rubicon - which can be cast as a spatial relation between Caesar and the Rubicon and a temporal relation between 49 B.C. and all other dates), mathematics can be seen as being nothing but relation. What is the definition of '5?' We could define it as a relation - it is the relation of being less than 6 and more than 4. This is rough, of course, if one considers the infinite fractions or decimals that could also fit that definition, but what else is a number save a relation to all other numbers?

Mathematics can be seen as the study of the continuum relation. Can a relation exist apart from objects? Are there relations simply relating [void] to [void]? At this time I see no need to conceive of relations in this way. My concept of relations requires that

*things*be related to one another.

5 + 5 = 10 is an abstracted mathematical relation. It is true in the way that any concept can be true: it is coherent, it does not violate the principles involved in its own definition, but it is not yet bound to the world of phenomena. Five marbles thrown into a jar of five marbles will produce what we call ten marbles in a jar; the abstract logical construct has now been bound to the world of phenomena.

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