Observations on the Nature of Demonstrative Evidence: With an Explanation of Certain Difficulties Occurring in the Elements of Geometry, and Reflections on LanguageJ. Johnson, 1793 - 172 σελίδες |
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Σελίδα 5
... never folve certain difficulties . in Euclid , till my reflections were revived and affisted by Mr. Tooke's discoveries . — I have indeed lately learned , that a doctrine concern-- ing language , partly the fame as that of Mr. Tooke ...
... never folve certain difficulties . in Euclid , till my reflections were revived and affisted by Mr. Tooke's discoveries . — I have indeed lately learned , that a doctrine concern-- ing language , partly the fame as that of Mr. Tooke ...
Σελίδα 27
... never be convinced of their truth . They do not prove any thing themselves , but require to be proved ; and if a Newton were to devote his powers to the study of axioms for an hundred years , he would not be able to draw from them one ...
... never be convinced of their truth . They do not prove any thing themselves , but require to be proved ; and if a Newton were to devote his powers to the study of axioms for an hundred years , he would not be able to draw from them one ...
Σελίδα 31
... never defigned him ; and as he proceeds , he looks back from time to time with an eye of regret upon the firft definition , earnestly wishing he had but force of mind enough to comprehend it . Dr. Simfon's demonftration will not afford ...
... never defigned him ; and as he proceeds , he looks back from time to time with an eye of regret upon the firft definition , earnestly wishing he had but force of mind enough to comprehend it . Dr. Simfon's demonftration will not afford ...
Σελίδα 32
... never occurred , if instead of point , the word dot , or even mark , onμelov , had been always used in its σημείον , place , and there had been no attempt at definition . For a point is only to mark the place whence a line is to begin ...
... never occurred , if instead of point , the word dot , or even mark , onμelov , had been always used in its σημείον , place , and there had been no attempt at definition . For a point is only to mark the place whence a line is to begin ...
Σελίδα 45
... never probably was a person , who after paying proper atten- tion , doubted of the truth of the 27th , 28th , 29th , or 30th propofition of the firft 28th , MATHEMATICAL EVIDENCE . 45 the student where human knowledge be- ...
... never probably was a person , who after paying proper atten- tion , doubted of the truth of the 27th , 28th , 29th , or 30th propofition of the firft 28th , MATHEMATICAL EVIDENCE . 45 the student where human knowledge be- ...
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Observations on the Nature of Demonstrative Evidence: With an Explanation of ... Thomas Beddoes Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Observations on the Nature of Demonstrative Evidence: With an Explanation of ... Thomas Beddoes Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
abſtract againſt agreement or difagreement alfo alſo angles Ariſtotle axiom becauſe befides cafe caufe cauſe cife compariſon complex term confideration definition demonſtration derived diftinct diſcovery diſtance equal eſtabliſhed Euclid evidence exiſt experiments exprefs faid fame fatisfied fays fcience fecond feems fenfes ferve fhall fhew fhewn fide fignification fimple fince firft firſt fome fomething ftill ftraight lines fubject fuch fufficient fuppofe fyftem geometry Greek language guage himſelf ideas impoffible inftances interfections intuitive knowledge itſelf juft juſt knowledge leaſt lefs Lennep leſs Lord Monboddo mathematical meaſure mind miſtake moſt muft muſt neceffary neceffity noun obfervation object occafion paffage parallel lines perceive perception perfon philofophy phyfical Plato poffible preſent pronouns propofition purpoſe reaſoning refult reſpect ſay Scheid ſcholars ſeem ſenſe ſhall ſhould ſpeech ſtate ſtill ſtudy ſuch ſuppoſe ſyſtem thefe themſelves theſe thing thofe THOMAS BEDDOES thoſe tion triangle truth underſtanding univerfality uſe Valckenaer verb verités whoſe words
Δημοφιλή αποσπάσματα
Σελίδα 168 - All, and the feweft ideas more than thofe we would communicate : and then by the help of the Prepofition, we either make up the deficiency in the one cafe, or retrench the fuperfluity in the other. For inftance, i. " A Houfe WITH a Party-wall? z. " A Houfe WITHOUT a roof" In the firft inftance, the complex term is deficient : The Prepofition directs to add what is wanting.
Σελίδα 35 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 66 - ... often so late before some unusual qualities come in the way, that there are few men that cannot recollect the beginning of their acquaintance with them: and if it were worth while...
Σελίδα 82 - ... and repugnancy, of any of our ideas. In this alone it consists. Where this perception is, there is knowledge ; and where it is not, there, though we may fancy, guess, or believe, yet we always come short of knowledge. For, when we know that white is not black, what do we else but perceive that these two ideas do not agree!
Σελίδα 37 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 85 - ... by an immediate view and comparing them do it: because the three angles of a triangle cannot be brought at once and be compared with any one or two angles; and so of this the mind has no immediate, no intuitive knowledge. In this case the mind is fain to find out some other angles, to which the three angles of a triangle have an equality; and, finding those equal to two right ones, comes to know their equality to two right ones.
Σελίδα 167 - To supply, therefore, the place of the complex terms which are wanting in a language, is the preposition employed...
Σελίδα 139 - That a fyftem of etymology was to be formed, by which the whole language was to be derived from certain primitive founds, or radical words. Then cafes, genders, and numbers, were to be invented ; which anfwered a double purpofe, both of expreffing different relations and other circumftances of things, and of connecting words together in fyntax. Then tenfes and moods of verbs were to be contrived, by which the circumftance of time, and the affections or difpofitions of the human mind with refpect:...
Σελίδα 82 - I mean to assert a truth which is as independent of my constitution, as the equality of the three angles of a triangle to two right angles...
Σελίδα 52 - If a ftraight line meets two ftraight lines, fo as to make the " two interior angles on the fame fide of it taken together lefs