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 sider |
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Side 5
... doctrine concern-- ing language , partly the fame as that of Mr. Tooke , had been for fome time taught in the celebrated fchool of Greek literature . I at at Leyden . Mr. Hemsterhuis , and his difciples , MATHEMATICAL EVIDENCE . 5.
... doctrine concern-- ing language , partly the fame as that of Mr. Tooke , had been for fome time taught in the celebrated fchool of Greek literature . I at at Leyden . Mr. Hemsterhuis , and his difciples , MATHEMATICAL EVIDENCE . 5.
Side 10
... doctrine , ne- ceffarily have exifted among the Savages of Greece , a fuppofition , contrary to every argument , fupplied either by phyfiology or pfychology . He might have added , that the doctrine not only implies this supposi- tion ...
... doctrine , ne- ceffarily have exifted among the Savages of Greece , a fuppofition , contrary to every argument , fupplied either by phyfiology or pfychology . He might have added , that the doctrine not only implies this supposi- tion ...
Side 18
... doctrine of parallel lines , nor the fifth definition of the fifth book , on which Euclid founds his reasoning concerning pro- portion , have any thing obfcure or doubt- ful , when properly confidered . Lastly , to take off that glofs ...
... doctrine of parallel lines , nor the fifth definition of the fifth book , on which Euclid founds his reasoning concerning pro- portion , have any thing obfcure or doubt- ful , when properly confidered . Lastly , to take off that glofs ...
Side 45
... doctrine of parallel lines is to be built ; for it is re- markable , that though all , as far as I know , from Savile to Ludlam , object to Euclid , and each proposes an affumption at setting out different from that of his predecef ...
... doctrine of parallel lines is to be built ; for it is re- markable , that though all , as far as I know , from Savile to Ludlam , object to Euclid , and each proposes an affumption at setting out different from that of his predecef ...
Side 89
... doctrines have , by a transition not uncommon , become his zea- lous advocates ; nor does that oppofition which new opinions always have to en- counter , seem which MATHEMATICAL EVIDENCE . 89 information; and authors, who afpire far ...
... doctrines have , by a transition not uncommon , become his zea- lous advocates ; nor does that oppofition which new opinions always have to en- counter , seem which MATHEMATICAL EVIDENCE . 89 information; and authors, who afpire far ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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...
Side 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!
Side 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.
Side 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.
Side 167 - To supply, therefore, the place of the complex terms which are wanting in a language, is the preposition employed...
Side 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:...
Side 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...
Side 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