...demonstratively certain". This is so, Hume now claims, because the formal sciences make no reference to facts: Though there never were a circle or triangle in nature,...by Euclid would for ever retain their certainty and evidence. (Sec. IV, Part I) At this stage of his career, Hume also affirms a sharp dichotomy between...

...by the mere operations of thought, without dependance on what is anywhere existent in the universe. Though there never were a circle or triangle in nature,...by Euclid would for ever retain their certainty and evidence. Matters of fact, which are the second objects of human reason, are not ascertained in the...

...by the mere operation of thought, without dependence on what is anywhere existent in the universe. Though there never were a circle or triangle in nature,...by Euclid would for ever retain their certainty and evidence.3 2 Matters of fact, which are the second objects of human reason, are not ascertained in...

...by the mere operation of thought, without dependence on what is anywhere existent in the universe. as, without any substance to support them. Words are not to be used without a meaning. And as t forever retain their certainty and evidence. Matters of fact, which are the second objects of human...

...Ideas. 'That three times five is equal to the half of thirty' Do you follow? 'Though there never was a circle or triangle in nature the truths demonstrated by Euclid would forever retain their certainty and evidence.' Are you with me? Don't worry about the circle and triangle....