...figures. That three times Jive is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the...operation of thought, without dependence on what is any where existent in the universe. Though there nerer were a circle or triangle in nature, the truths...

...figures. That three times Jive is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the...operation of thought, without dependence on what is any where existent in the universe. Though there never were a circle or triangle in nature, the truths...

...figures. That three times Jive is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the...operation of thought, without dependence on what is any where existent in the universe. Though there never were a circle or triangle in nature, the truths...

...arithmetic, and in short every affirmation which is either intuitively or demonstratively certain. — Propositions of this kind are discoverable by the...operation of thought, without dependence on what is any where existent in the universe. Sect. IV. p. 27. The only objects of the abstract sciences or of...

...Thai //tree times five is equal to ihe half of thirl//, expresses a relation between these numbers. Propositions of this kind are discoverable by the...dependence on what is anywhere existent in the universe. Though there never were a circle or triangle in nature, the truths demonstrated by Euclid would for...

...characterises these truths of the second class thus : — ' Propositions of this kind are * See Note at end. discoverable by the mere operation of thought, without...dependence on what is anywhere existent in the universe: though there never were a true circle or triangle in nature, the truths demonstrated by Euclid would...

...figures. That three times five is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the...dependence on what is anywhere existent in the universe. Though there never were a circle or triangle in nature, the truths demonstrated by Euclid would for...

...figures. That three times Jive is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the...dependence on what is anywhere existent in the universe. Though there nover were a circle or triangle in nature, the truths demonstrated by Euclid would for...

...Let us see how it agrees with this class. Hume says that propositions respecting relations of ideas "are discoverable by the mere operation of thought,...dependence on what is anywhere existent in the universe." But if BO, this proposition that a rope of which I see one end has got another end, cannot be a relation...

...those of which geometry, algebra, and arithmetic treat, and which are either intuitively certain, or ' discoverable by the mere operation of thought, without...dependence on what is anywhere existent in the universe,' as, for example, the truths demonstrated by Euclid, which would be equally incontestable even ' though...