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 páginas |
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Página 23
... upon E , and c upon F , as I have already fhewn you , BC must go on one fide EF like one of the dotted lines ; but then BC and EF , two ftraight lines , would C 4 would enclose a space , which the whole courfe of MATHEMATICAL EVIDENCE . 23.
... upon E , and c upon F , as I have already fhewn you , BC must go on one fide EF like one of the dotted lines ; but then BC and EF , two ftraight lines , would C 4 would enclose a space , which the whole courfe of MATHEMATICAL EVIDENCE . 23.
Página 24
... whole courfe of your experiments has fhewn they cannot poffibly do . you , Then the triangles must exactly fall upon one another , & c . I have been purposely prolix in this de- monstration , to fhew how it begins in ex- periment , goes ...
... whole courfe of your experiments has fhewn they cannot poffibly do . you , Then the triangles must exactly fall upon one another , & c . I have been purposely prolix in this de- monstration , to fhew how it begins in ex- periment , goes ...
Página 28
... evident that of any object , I shall recollect the whole or any part the bet- ter , as the original impreffion was more lively . If I am to imagine , or form an image , image , by putting things together in my mind , 48 OBSERVATIONS ON.
... evident that of any object , I shall recollect the whole or any part the bet- ter , as the original impreffion was more lively . If I am to imagine , or form an image , image , by putting things together in my mind , 48 OBSERVATIONS ON.
Página 29
... whole which I have not seen , out of parts which I have feen ; the diftinct- ness of the original conceptions will be equally fubfervient to this procefs . By ap- pealing in this manner to his fenfes , and making him feel the firmness ...
... whole which I have not seen , out of parts which I have feen ; the diftinct- ness of the original conceptions will be equally fubfervient to this procefs . By ap- pealing in this manner to his fenfes , and making him feel the firmness ...
Página 41
... a greater number out of a less , the " whole demonftration muft fail ; for the " steps of a demonstration , like the links " of a chain , hang by one another ; Eu- “ clid , 66 " clid , therefore , in this place , MATHEMATICAL EVIDENCE . 41.
... a greater number out of a less , the " whole demonftration muft fail ; for the " steps of a demonstration , like the links " of a chain , hang by one another ; Eu- “ clid , 66 " clid , therefore , in this place , MATHEMATICAL EVIDENCE . 41.
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Observations on the Nature of Demonstrative Evidence: With an Explanation of ... Thomas Beddoes Sin vista previa disponible - 2018 |
Observations on the Nature of Demonstrative Evidence: With an Explanation of ... Thomas Beddoes Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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!
Página 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.
Página 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.
Página 167 - To supply, therefore, the place of the complex terms which are wanting in a language, is the preposition employed...
Página 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:...
Página 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...
Página 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