[37] Manch. Mem. vol. v. p. 346. [38] “Since all reasoning may be resolved into syllogisms, and since in a syllogism the premises do virtually assert the conclusion, it follows at once, that no truth can be elicited by any process of reasoning.”--_Whately’s Logic_, p. 223. Mathematics is the _logic of quantity_, and to this science the observation here quoted is strictly applicable. [39] A l’intérieur le ministre Quinette fut remplacé par Laplace, géomêtre du premier rang, mais qui ne tarda pas à se montrer administrateur plus que médiocre: des son premier travail les consuls s’aperçurent qu’ils s’étaient trompés: Laplace ne saisissait aucune question sous son vrai point de vue: il cherchait des subtilités partout, n’avait que des idées problématiques, et portait enfin l’esprit des infiniment petits dans l’administration.--_Mémoires écrits à Ste Hélène_, i. 3. [40] Il semble que la nature ait tout disposé dans le ciel, pour assurer la durée du systême planétaire, par des vues semblables à celles qu’elle nous parait suivre si admirablement sur la terre, pour la conservation des individus et la perpétuité des espèces.--_Syst. du Monde_, p. 442. [41] Rapports du Physique et du Moral de l’Homme, i. 299. [42] De Augment. Sc. ii. 105. [43] Herschel on the Study of Nat. Phil. Art. 28. [44] Elem. of Phil. ii. p. 273. [45] Bacon. Essay on Atheism. TRANSCRIBER’S NOTE Obvious typographical errors and punctuation errors have been corrected after careful comparison with other occurrences within the text and consultation of external sources. Except for those changes noted below, all misspellings in the text, and inconsistent or archaic usage, have been retained. Pg 47: ‘a slendar stalk’ replaced by ‘a slender stalk’. Pg 48: ‘animal motious’ replaced by ‘animal motions’. Pg 54: ‘the raingage’ replaced by ‘the rain gauge’. Pg 67: ‘by Fourrier, and’ replaced by ‘by Fourier, and’. Pg 69: ‘would dimininish’ replaced by ‘would diminish’. Pg 72: ‘is obvitated by’ replaced by ‘is obviated by’. Pg 81: ‘than 1-100dth to’ replaced by ‘than 1-100th to’. Pg 131: ‘are nealy circular’ replaced by ‘are nearly circular’. Pg 139: ‘by one anomally’ replaced by ‘by one anomaly’. Pg 153: ‘would loose its’ replaced by ‘would lose its’. Pg 174: ‘a memoir entited’ replaced by ‘a memoir entitled’. Pg 174: ‘volocity, in’ replaced by ‘velocity, in’. Pg 178: ‘effects take take place’ replaced by ‘effects take place’. Pg 196: ‘and and Director of’ replaced by ‘and Director of’. Pg 200: ‘for for her young’ replaced by ‘for her young’. Pg 205: ‘in his puposes’ replaced by ‘in his purposes’. Pg 224: ‘thus irremoveably’ replaced by ‘thus irremovably’. Pg 228: ‘of knowlege and’ replaced by ‘of knowledge and’. Pg 259: ‘and no othewise’ replaced by ‘and not otherwise’.