The Elements of Logick: In Four Books |
Common terms and phrases
abſtract affirmed alſo anſwering Aqua Regia arifing becauſe Buſineſs Cafe called Caſe cauſe Certainty Claſs Claſſes complex Ideas Conceptions Conclufion Confideration confidered Conſequent conſtitute Copula courſe deduced Definitions Demonftration denote deſcribed Deſcription difcern diftinguiſhed diſcover Diſcoveries diſtinct Diviſion eaſy eſtabliſhed evident Exerciſe exiſt expreſſed faid falſe fame Figure fimple firſt fome Form fuch Genus Hence Impreſſions infomuch Inſtance intermediate Ideas intuitive Inveſtigation itſelf Judgments juſt Knowledge laſt leſs Logicians Logick Manner means meaſure Mind moſt muſt Name Nature neceſſarily neceſſary Notions Number Objects obſerve Occafion Order ourſelves particular Perceptions poſition poſſible Predicate Premiſſes preſent Progreſs Propoſition Reaſon Reasoning Relations repreſent reſpect reſt ſaid ſame ſay Science ſecond ſee ſeem ſeen ſelf-evident ſelves Senſe ſeparately ſerve ſet ſeveral ſhall ſhould ſimple Ideas ſingle ſome Species ſtand ſtill Subſtances ſuch ſufficient ſuppoſe Syllogifms Term themſelves theſe Ideas Things thoſe tion Truth Understanding univerſal uſe View whoſe Words
Popular passages
Page 232 - ... reasoning, which that study necessarily brings the mind to, they might be able to transfer it .to other parts of knowledge, as they shall have occasion. For, in all sorts of reasoning, every single argument should be managed as a mathematical demonstration : the connexion and dependence of ideas should be followed, till the mind is brought to the source on which it bottoms, and observes the coherence all along, though in proofs of probability one such train is not enough to settle the judgment,...
Page 194 - ... are equal to two right ones, and things equal to one and the fame thing are equal to one another.
Page 140 - They may be more diftin&ly and briefly unfolded, by enumerating the compound Ideas of a lower Order, from whofe Union they refult, and which are all fuppofed to be already known, in Confequence of previous Definitions.
Page 135 - Number, and all equal among themfclvcs, becaufe they are each to fubtend, a fourth Part of the fame Circle. But befides thefe component Parts, we muft alfo take notice of the Manner of putting them together, if we would exhibit the precife Idea, for which the Word Square here ftands.
Page 239 - ... as there are a great many other ways by which heat might have been communicated to it. And if we cannot argue from the removal of the antecedent to the removal of the consequent, no more can we from the admission of the consequent to the admis.
Page 231 - I have mentioned mathematics as a way to settle in the mind a habit of reasoning closely and in train; not that I think it necessary that all men should be deep mathematicians, but that, having got the way of reasoning, which that study necessarily brings the mind to, they might be able to transfer it to other parts of knowledge, as they shall have occasion.
Page 233 - I think should be taught all those who have the time and opportunity, not so much to make them mathematicians as to make them reasonable creatures; for though we all call ourselves so, because we are born to it if we please, yet we may truly say nature gives us but the seeds of it; we are born to be, if we please, rational creatures, but it is use and exercise only that makes us so, and we are indeed so no farther than industry and application has carried us.
Page 256 - Affirmative, live, or univerfal Negative, a particular Affirmative or particular Negative, which fourfold Divifion, as we have already demonftrated in the fecond Part, embraces all their Varieties ; any one, I fay, of thefe may be inferred, by virtue of fome Syllogifm in the firft Figure. By this means it happens that the Syllogifms of all the other Figures are reducible alfo to Syllogifms of the firft Figure, and may be confidered as {landing on the fame Foundation with them.
Page 244 - Whoever allows, for inftance, that Things equal to one and the fame Thing are equal to one another...
Page 241 - The world is either self-existent, or the .?work of some finite or of some infinite being. But it is not self-existent, nor the work of a finite being : Therefore it is the work of an infinite being.