O N T E N T S. 



XT 



from the Axioms of Euclid — Evidence of thofe Axioms the immediate Perception of 

 a Contradi<flion, if they were not true — Confcioufnefs the Foundation of the Perception 

 ofTruth — Therefore theBrutes hare no fuch Perception — Axioms and Demonftration 

 in other Sciences as well as Mathematics — Inftances of Axioms in Phyfics and Me- 

 taphyfics — Inftances of Axioms relating to the other Categories as well as to Quan- 

 tity Page 357 



CHAP. IV, 



When the Propofition is not felf evident, then there muft be the Difcurjus Mentis in 

 order to prove it — The Nature of this Difcurjus — All the Di/curfuSy however various, 

 reducible to the Syllogiftical Form — Definition of Syilogifm — Form of the Syllogifm 

 explained by Ariflotle in hhjirji Analytics — The Analyfis there mofl: wonderful — 

 Syllogifm may be peife£l in its Form, and yet the Conclufion may be falfe, dubious, 

 or certain — according to the Nature of the PremifTes — What makes the Syllogifm 

 demonftrative explained by Ariflotle in his laft Analytics — The Method obferved by 

 Ariflotle in that great Work — The Nature of Dcmonji ration — Definition as Necefla- 

 ry for it as Axioms — Two Kinds of Demonftration — the one diredi — the other indi- 

 reel — or ex ahfiirdo. — The Difference betwixt Analyfis and Demonflration — Analvfis 

 the Method of Difcovery in all Sciences — Similitude betwixt the analytical Reafon- 

 ing and the Demonftration ex abfurdo — The Dialectical Method of Reafoning differ- 

 ent from ar.y yet mentioned— 1 iie Biale61ic of Ariftotle quite different from 

 that of Plato — Ariftotle's Dialedic much praclifed before his Time — but only 

 reduced to an Art by him — Nature cf this Kind of Reafoning iliuftrated by Ex- 

 amples p. ^tjS 



CHAP. V. 



Of Propofitions, whofe SubjeCl Is an Individual Thing — Individual Things either Ma- 

 terial or Immaterial — Of Propofitions, whofe Subject is a Corporeal Thing— ^Of 

 thefe there can be no Science — Nature of our Knowledge of Corporeal Things— Ufe 

 of that Knowledge p. 410 



C H A P. VL 



The Doubt about the Exiftence cf the Material World not fo old as Plato and Ariftotle 

 — Firft ftarted, in Modern Times, by Dr Berkeley. — Two Anfwcrs given to it, but 

 neither of them fatisfadory — Other Proofs, therefore, neceffary— Previous Obferva- 



tions concerning Mr Hume's Syftem of Philofophy on this Subjcft Proof of 



the 



