...middle terms is called the minor premiss. The former always comes first. Unless the principle that " things which are equal to the same are equal to one another " were true, it would not follow that " Socrates " and " mortal," which are equal to the same (" man...

...the same time be and not be; (2) that if equals be added to equals the wholes are equal; and (3) that things which are equal to the same are equal to one another. It so happens that each of these propositions which he has assumed to be true is, if true, much more...

...Apostolic, it necessarily followed that they were in agreement with each other ; for it ia an axiom that things which are equal to the same, are equal to one another. But a time came when this form of Church Government was abandoned, first by one Church and then by...

...neither of the other supposed Evangelists ever wrote anything to quote from, and- that consequently, as things which are equal to the same are equal to one another, none of the alleged Gospels are either true or authentic." One need not be careful here in reference...

...Paganism are identical ; another, that our Book of Common Prayer is Roman, and our clergy Romanizers. Things which are equal to the same are equal to one another, therefore our clergy are pagans. The absurdity of such a conclusion does not strike the writers ? or...

...which he cannot prove, but which he deems can abundantly prove themselves. With those who deny that things which are equal to the same are equal to one another the geometer does not argue. With such an one he has no common ground for argument. So neither can...

...need a man care for a stock ? ' — SHAKESFEABE. ' What needs my Shakespeare ? ' — MILTON. (a) ' Things which are equal to the same are equal to one another." ' A stitch in time saves nine." ' Homer gives an account of the battle.' ' Milton describes the fall...

...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...

...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that things which are equal to the same are equal to one another, is only a particular case of the predication of similarity ; if there were no impressions, it is obvious...

...instincts resulting from education. (lJ 'Induction' or 'mental association' applies to such cases as that 'things which are equal to the same are equal to one another' — a truth which we can prove by bringing forward certain numbers and quantities. Induction being...