By Rega Wood (auth.)
The English Franciscan thinker and theologian, Adam of Wodeham (d. 1358), was once a disciple and pal of William of Ockham; he was once additionally a pupil of Walther Chatton. however, he used to be an self sufficient philosopher who didn't hesitate to criticize his former academics - Ockham sporadically and benevolently, Chatton, usually and aggressively. on the grounds that W odeham built his personal doctrinal place via an intensive serious exam of present reviews, the 1st a part of this introduc tion in brief outlines the positions of the manager figures within the English controversy over indivisibles. the second one a part of the advent pre sents a precis of Wodeham's perspectives within the Tractatus de indivisibilibus, lists the contents of the treatise, and considers the query of its date and its chronological place within the context of Wodeham's different works. within the 3rd half, the editorial techniques used listed below are set forth. 1. THE INDIVISIBILIST CONTROVERSY within the literature of the thirteenth and 14th centuries, the time period 'indivisible' refers to an easy, un prolonged entity. hence, those indivisibles aren't actual atoms yet both mathematical issues, temporal instants or indivisibles of movement, often referred to as mutata esse. I THOMAS BRADWARDINE (d. 1349), approximately modern with Wodeham, categorized the positions it was once attainable to take concerning indivisibles. He defined his personal view because the universal view, that of "Aristotle, A verroes, and many of the moderns," in line with which a "continuum was once now not composed of atoms (athomis) yet of components divisible with no end.
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Extra resources for Adam de Wodeham: Tractatus de Indivisibilibus: A Critical Edition with Introduction, Translation, and Textual Notes
3X [Evasio HARCLA Yj 26. Dicetur forsan secundum viam HARCLAY quod non sequitur: "Tertium tangit secundum secundum quodlibet quo secundum tangit primum, ergo tertium tangit primum, quamvis utrumque sit indivisibile. Verbi gratia: duarum linearum se tangentium secundum ultima, primum punctum unius lineae tangit primum punctum alterius lineae, et hoc immediate. " 39 Ergo a sirnili in proposito: secundus punctus tangere poterit primum immediate, et tertium secundum immediate, et tamen tertius primum solum mediate.
50-54 and Gelber's transcription of Basel, fol. 58 (Gelber, p. 7): Sexta conclusio est, quae sequitur ex prima, quod nullius continui finita est aliqua multitudo partium proportionalium infinita. Et hoc probo sic: nulIa multitudo finita est infinita, sed si aliqua multitudo partium . continui esset infinita, aliqua multitudo infinita esset finita vel aliqua multitudo finita esset infinita, ergo nullius continui multitudo partium est infinita. Maior est manifesta, quia si aliqua multitudo finita esset infinita, eadem multitudo esset finita et infinita, et per consequens finita et non finita, et sic contradictoria essent simul vera.
6 Quantum ad primum probatur quod non, 7 quia si continuum componeretur ex indivisibilibus, apparet quod indivisibile additum indivisibili faceret maius. Con sequens est falsum et impossibile per se loquendo. Quod addo, quia linea addita lineae secundum longitudinem facit maius, sed non secundum latitudinem maius facit vel secundum profunditatem, si linea poneretur res indivisibilis secundum latitudinem et profunditatem vere in rebus. Consequentia patet de se. 6. Falsitatem consequentis probat ARISTOTELES, VI Physicorum prope principium sic: 8 Quod si indivisibile additum indivisibili faceret maius, oporteret quod tangeret ipsum.
Adam de Wodeham: Tractatus de Indivisibilibus: A Critical Edition with Introduction, Translation, and Textual Notes by Rega Wood (auth.)