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After Euclid: Visual Reasoning and the Epistemology of Diagrams Book

After Euclid: Visual Reasoning and the Epistemology of Diagrams
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  • After Euclid: Visual Reasoning and the Epistemology of Diagrams
  • Written by author Jesse Norman
  • Published by Center for the Study of Language and Inf, June 2006
  • What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept
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Authors

Preface

 

1.  Introduction:  An Old Kind of Reasoning

2.  The Euclidean Presentation

3.  The Framework of Alternatives

4.  Crude Empiricism:  Ross's Plato

5.  Subtle Empiricism:  Mill

6.  Leibniz and the Denial of Epistemic Value

7.  Kant:  A Proto-Theory of Geometrical Reasoning

8.  Making Room for a Neo-Kantian View

9.  The Competing Logics of Prop. I.32

10.  The Epistemology of Euclid's Argument

11.  Conclusions:  Value Restores

 

References

Index


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