Adam de Wodeham: Tractatus de Indivisibilibus 1988th ed.(Synthese Historical Library Vol.31) H 348 p. 88
内容
目次
1 / Introduction.- 1. The Indivisibilist Controversy.- Indivisibilists: 1.1. Henry of Harclay.- 1.2. Robert Grosseteste.- 1.3. Walter Chatton.- 1.4. William Crathorn.- Divisibilists: 1.5. William of Ockham.- 1.6. John Duns Scotus.- 1.7. William of Alnwick.- 1.8. Walter Burley.- 2. Tractatus de indivisibilibus.- 2.1. The Author.- 2.2. The Contents.- 2.3. Date Written.- 2.4. Quaestio de divisione et compositione continui.- 2.5. The Date of the Quaestio.- 3. Editorial Principles.- 4. Notes to the Introduction.- II / Text and Translation.- Question 1: Whether forms or extended continua are composed of indivisibles.- Article 1: Twelve arguments proving that continua are not composed of indivisibles.- Article 2: Twelve arguments by Harclay and Chatton purporting to show that continua are composed of indivisibles.- Article 3: Refutation of Harclay’s and Chatton’s arguments.- Question 2: Whether among continua there is any indivisible extensive quantum, or among augmentable forms any intensive indivisible.- Article 1: A proof that neither points nor lines nor surfaces exist.- Article 2: Arguments purporting to show that there must be indivisibles in continua.- Article 3: Replies to the arguments in article 2.- Question 3: Doubts about whether a continuum is infinitely divisible or composed of indivisibles.- Doubts based on Zeno’s arguments.- Doubt 1.- Doubt 2.- Doubt 3.- Doubt 4.- Doubt 5: Whether there are actually infinitely many parts in a continuum.- Doubt 6: Whether there is a natural minimum or least indivisible part.- Doubt 7: Whether a continuum can be divided into infinitely many parts of the same size.- Arguments purporting to show that if it is composed of infinitely many such parts, then it is actually infinite.- Proof that a continuum may be divided into infinitely many completely distinct parts.- Reply to the first arguments.- Question 4: Whether the infinite divisibility of a continuum can be reduced to actuality.- Article 1: A continuum cannot be divided into its parts.- Article 2: The parts of a continuum can be divided.- Doubts.- Question 5: Whether there are more parts of the same proportion in a larger continuum than in a smaller.- Article 1: Proof that there are more parts of the same proportion in a larger continuum.- Article 2: Objections against this proof.- Article 3: Replies to the objections.- III / Notes to the Text.- Notes to Question 1.- Notes to Question 2.- Notes to Question 3.- Notes to Question 4.- Notes to Question 5.- IV / Appendix.- William Crathorn, “De continuo”.- Indices.
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