The History of Mathematical Proof in Ancient Traditions

Philoponus and Aristotelian demonstrations 223 be essential predicates of their subjects. 36 Th is question, as I showed, was ce ...

224 orna harari Demonstration (I speak of the most perfect type of demonstration) must depend upon those things which are per se ...

Philoponus and Aristotelian demonstrations 225 Nevertheless, when the pre-modern discussion of the conformity of mathematical pr ...

226 orna harari essential has become dissociated from questions concerning the ontologi- cal status of mathematical objects, and ...

Philoponus and Aristotelian demonstrations 227 Lloyd , A. C. ( 1990 ) Th e Anatomy of Neoplatonism. Oxford. Mancosu , P. ( 1992 ...

228 5 Contextualizing Playfair and Colebrooke on proof and demonstration in the Indian mathematical tradition (1780–1820) Dhruv ...

Contextualizing Playfair and Colebrooke 229 tradition as devoid of proof went contrary to the spirit of Colebrooke’s translation ...

230 dhruv raina the respective interlocutors. 10 Critical studies on oriental scholarship have sought to situate these texts in ...

Contextualizing Playfair and Colebrooke 231 mathematical results and procedures encountered within Sanskrit texts that were not ...

232 dhruv raina Notwithstanding the prejudices of the Europeans of the last century in favour of their own abilities, some of th ...

Contextualizing Playfair and Colebrooke 233 said that the question that the geometry of the Hindus could have a diff er- ent bas ...

234 dhruv raina underlining the textual nature of their enterprise, the French astronomer- savants relied a great deal on proto- ...

Contextualizing Playfair and Colebrooke 235 It is also generally reported that the Brahmins calculate their eclipses, not by ast ...

236 dhruv raina right-angled triangle given the hypotenuse and sides without recourse to a table of sines, etc. Th e urgency of ...

Contextualizing Playfair and Colebrooke 237 Th e fi rst idea that he rejected was that this astronomical tradition was dis- fi g ...

238 dhruv raina I engage to support an opinion (which the learned and industrious M Montucla seems to treat with extreme contemp ...

Contextualizing Playfair and Colebrooke 239 Th e article draws extensively, need I say almost exclusively, upon the Mémoirs of L ...

240 dhruv raina fragments of the works of Bhaskara and Brahmagupta before proceeding to fi nalize versions of the three texts tr ...

Contextualizing Playfair and Colebrooke 241 on the Bija-Ganita that contained a clear interpretation of the text with a concise ...

242 dhruv raina Th e point needs some reaffi rmation since both Colebrooke and Davis, who worked with commentaries of canonized ...