On Maxima and Minima: Chapter 5 of Rules for Solving Sophismata, with an anonymous fourteenth-century discussion

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Product Details

  • ISBN-13: 9789027718686
  • Publisher: Springer Netherlands
  • Publication date: 11/30/1984
  • Series: Synthese Historical Library Series , #26
  • Edition description: 1984
  • Edition number: 1
  • Pages: 201
  • Product dimensions: 0.63 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Notes.- Rules for Solving Sophisms, Chapter 5: On Maxima and Minima.- 1: Introduction and basic notions.- 2: Conditions under which limits exist.- 3: Rules for the choice of limit in each case..- 4: Objections and replies concerning the general program.- 5: Objections and replies concerning the conditions under which limits exist.- 6: Objections and replies concerning the choice of limits.- Notes.- Treatise Concerning Maxima and Minima.- 1: The four-fold distinction.- 2: Exposition of the members of the distinction.- 3: Requirements for correct application of the division.- 4: Rules for choosing the correct part of the division.- 5: Doubts concerning what has been said.- Notes.- Tractatus de Maximo et Minimo.- Study.- 1. The nature of Heytesbury’s “De maximo et minimo” and his theory.- 2. The tradition behind the theory.- 3. The fundamentals of the theory.- 3.1. That capacities of a single sort can be measured on a linear continuum of coordinate capacities.- 3.2. The possible limits for a capacity.- 3.3. The extension of the theory for physical capacities to all cases of limits for a bipartition on a continuum.- 3.4. The problem of the second limit.- 4. Conditions for the existence of a limit.- 5. The choice of limit.- 6. Conclusion.- Notes.- Indices.- Index of names and topics.- Index of sophismata.- Scholars cited.
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