9. This being well understood, it is manifest, that nothing can rightly be called a whole, that is not conceived to be compounded of parts, and that it may be divided into parts; so that if we deny that a thing has parts, we deny the same to be a whole. For example, if we say the soul can have no parts, we affirm that no soul can be a whole soul. Also it is manifest, that nothing has parts till it be divided; and when a thing is divided, the parts are only so many as the division makes them. Again, that a part of a part is a part of the whole; and thus any part of the number _four_, as _two_, is a part of the number _eight_; for _four_ is made of _two_ and _two_; but _eight_ is compounded of _two_, _two_, and _four_, and therefore _two_, which is a part of the part _four_, is also a part of the whole _eight_. [Sidenote: Spaces and times contiguous and continual.] 10. Two spaces are said to be CONTIGUOUS, when there is no other space betwixt them. But two times, betwixt which there is no other time, are called immediate, as A B, B C.[Sidenote: A B C] And any two spaces, as well as times, are said to be CONTINUAL, when they have one common part, as A C, B D, where the part B C is common; [Sidenote: A B C D] and more spaces and times are continual, when every two which are next one another are continual. A B C D ------------- A B C ------------ [Sidenote: Beginning, end, way, finite, infinite.] 11. That part which is between two other parts, is called a MEAN; and that which is not between two other parts, an EXTREME. And of extremes, that which is first reckoned is the BEGINNING, and that which last, the END; and all the means together taken are the WAY. Also, _extreme parts_ and _limits_ are the same thing. And from hence it is manifest, that _beginning_ and _end_ depend upon the order in which we number them; and that to _terminate_ or _limit_ space and time, is the same thing with _imagining their beginning and end_; as also that every thing is FINITE or INFINITE, according as we imagine or not imagine it _limited_ or _terminated_ every way; and that the _limits_ of any number are _unities_, and of these, that which is the first in our numbering is the _beginning_, and that which we number last, is the _end_. When we say number is _infinite_, we mean only that no number is expressed; for when we speak of the numbers _two_, _three_, _a thousand_, &c. they are always _finite_. But when no more is said but this, _number is infinite_, it is to be understood as if it were said, this name _number_ is an _indefinite_ name. [Sidenote: What is infinite in power. Nothing infinite can be truly said to be either whole or one; nor infinite spaces or times, many.]