...by which we see that two and two make four ; or to that process by which we arrive at the conclusion that the three angles of a triangle equal two right angles ; or that the Duke of Wellington gained the battle of Waterloo. In these latter cases, no reasonable man would say...

...Nay, exacting critic, do not hold us to mathematical demonstration. We cannot prove it as we can prove that the three angles of a triangle equal two right angles or that water is composed of two parts hydrogen and one part oxygen. Our argumentation relates to a realm quite...

...Nay, exacting critic, do not hold us to mathematical demonstration. We cannot prove it as we can prove that the three angles of a triangle equal two right angles or that water is composed of two parts hydrogen and one part oxygen. Our argumentation relates to a realm quite...

...necessary, and nothing eke, constitutes knowledge. He points out that we make such judgments. When we say that the three angles of a triangle equal two right angles, or that every event has a cause, we are saying something universal and necessary, something not founded on...

...that although we cannot comprehend how God could have done so, He nonetheless could have made it false that the three angles of a triangle equal two right angles or, more generally, could have made it that contradictories should simultaneously both be true.27 Against...

...impossible - for example, make a square circle or a spherical cube; or make 1 + 2 = 4; or make it not true that the three angles of a triangle equal two right angles; or make contradictories true, for example, make it both true and false that the world exists. The most...