The proposition upon which the whole scheme of the Limitists is founded, was originally enunciated by Sir William Hamilton, in the following terms. "The Unconditioned is incognizable and inconceivable; its notion being only negative of the conditioned, which last can alone be positively known or conceived." "In our opinion, the mind can conceive, and consequently can know, only the _limited and the conditionally limited_. The unconditionally unlimited, or the Infinite, the unconditionally limited, or the Absolute, cannot positively be construed to the mind; they can be conceived only by a thinking away from, or abstraction of, those very conditions under which thought itself is realized; consequently, the notion of the Unconditioned is only negative--negative of the conceivable itself. For example, on the one hand we can positively conceive, neither an absolute whole, that is, a whole so great, that we cannot also conceive it as a relative part of a still greater whole; nor an absolute part, that is, a part so small, that we cannot also conceive it as a relative whole, divisible into smaller parts. On the other hand, we cannot positively represent, or realize, or construe to the mind, (as here understanding and imagination coincide,) an infinite whole, for this could only be done by the infinite synthesis in thought of finite wholes, which would itself require an infinite time for its accomplishment; nor, for the same reason, can we follow out in thought an infinite divisibility of parts.... As the conditionally limited (which we may briefly call the conditioned) is thus the only possible object of knowledge, and of positive thought--thought necessarily supposes conditions. _To think_ is _to condition_; and conditional limitation is the fundamental law of the possibility of thought." ... "The conditioned is the mean between two extremes--two inconditionates, exclusive of each other, neither of which _can be conceived as possible_, but of which, on the principles of contradiction and excluded middle, one _must be admitted as necessary_."