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 29
... multiply in- stances of the experimental reasoning of geometry , fince the instance already quoted fairly represents all the reft , I shall shortly con- confider the definitions of the first book of Euclid , MATHEMATICAL EVIDENCE . 29.
... multiply in- stances of the experimental reasoning of geometry , fince the instance already quoted fairly represents all the reft , I shall shortly con- confider the definitions of the first book of Euclid , MATHEMATICAL EVIDENCE . 29.
Página 96
... quoted , the term fenfation comprehends fentient beings , as pride does proud beings , and yawn- ing yawning beings ; or , as two includes one and one . When we therefore conceive the meaning of these terms , we find that like all ...
... quoted , the term fenfation comprehends fentient beings , as pride does proud beings , and yawn- ing yawning beings ; or , as two includes one and one . When we therefore conceive the meaning of these terms , we find that like all ...
Página 103
... quoted by Mr. Kant , that all bodies are heavy , does not supply a fair object of comparison with geometrical propofitions . Plane triangles , parallel lines , and the various kinds of folids , are definite things ; clear perceptions ...
... quoted by Mr. Kant , that all bodies are heavy , does not supply a fair object of comparison with geometrical propofitions . Plane triangles , parallel lines , and the various kinds of folids , are definite things ; clear perceptions ...
Página 126
... quoted above , there is other high authority for fuppofing , that our me- thods are not fo effectual as thofe practifed elsewhere . I Some than children when they give chace to the extremity of 126 OBSERVATIONS ON thofe, who are made to ...
... quoted above , there is other high authority for fuppofing , that our me- thods are not fo effectual as thofe practifed elsewhere . I Some than children when they give chace to the extremity of 126 OBSERVATIONS ON thofe, who are made to ...
Página 133
... quoted , and had he turned his attention to the manner in which the vowels are formed by the organs of speech , and perceived their near affinity , he might with just as much propriety have reduced all his primitives to one . The Dutch ...
... quoted , and had he turned his attention to the manner in which the vowels are formed by the organs of speech , and perceived their near affinity , he might with just as much propriety have reduced all his primitives to one . The Dutch ...
Otras ediciones - Ver todas
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