...legitimate and conclusive than the former, I proceed now to examine ; and in order thereto shall premise the following lemma. If with a view to demonstrate...rejected by a contrary supposition ; in that case all other points, attained thereby and consequent thereupon, must also be destroyed and rejected, so as...

...legitimate and conclusive than the former, I proceed now to examine ; and in order thereto shall premise the following lemma. If with a view to demonstrate...be itself " afterwards destroyed or rejected by a contrarysupposition ; in that case all other points, attained thereby and consequent thereupon, must...

...admitted, and without dissussion, as true : « If with a view to demonstrate any proposition, a cer« tain point is supposed, by virtue of which certain other...; and such supposed point be itself « afterwards rejected or destroyed by a contrary supposi« tion ; in that case, all the other points, attained thereby...

...legitimate and conclusive than the former I proceed now to examine ; and in order thereto, shall premise the following lemma. ' If, with a view to demonstrate...certain other points are attained : and such supposed be itself afterwards destroyed or rejected by a contrary supposition ; in that case, all the other...

...proceed now to examine ; and in order thereto shall premise the following lemma : — ' If, with a viewto demonstrate any proposition, a certain point is supposed,...supposed point be itself afterwards destroyed or rejected 1 " Philosophie Naturalis Principia Mathematica," lib. ii., lem. 2. by a contrary supposition ; in...

...existence vanish with them. This criticism Berkeley supports with a lemma, which he states as follows, "If, with a view to demonstrate any proposition, a...points are attained; and such supposed point be itself afterward destroyed or rejected by a contrary supposition; in that case, all the other points attained...

...demonstrate any proposition, a certain point is supposed and such snpposed point be itself af«erwards destroyed or rejected by a contrary supposition; in that case all the olher points attended thereby and consequent thereupon, mnst also be destroyed and rejected, so as...

...the second proof with a lemma which he regards as "so plain as to need no Proof." The lemma reads: If with a View to demonstrate any Proposition, a certain...other Points are attained; and such supposed Point be it self afterwards destroyed or rejected by a contrary Supposition; in that case, all the other Points,...

...legitimate and conclusive than the former, I proceed now to examine; and in order thereto shall premise the following lemma. 'If with a view to demonstrate...other points are attained; and such supposed point be it self afterwards destroyed or rejected by a contrary supposition; in that case, all the other points...

...negation. As was well known from scholastic logic anything could follow from a contradiction. He wrote : If. with a View to demonstrate any Proposition, a...other Points are attained; and such supposed Point be it self afterwards destroyed or rejected by a contrary Supposition ; in that case, all the other Points,...