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Table of Contents
1. Introduction: visual uncertainty, categorization, objectivity and practices and values of imprecision
2. From ordinary to mathematical categorization in the visual world... of words, pictures and practices
3. Vagueness and fuzziness in words and predication
4. Representations: from words to images
5. Epistemology, aesthetics and pragmatics of scientific and other images: visualization, representation and reasoning
6. Visual representation: from perceptions to pictures
7. Vague pictures: epistemology, aesthetics and pragmatics of fuzziness, from fuzzy perception to fuzzy pictures
8. Blur as vagueness: seeing images vaguely and seeing vague images; perception and representation
9. Vague pictures as pictures
10. Vague pictures as vague representations and representing
11. The cognitive values of imprecision: towards a scientific epistemology, aesthetics and pragmatics of fuzziness, contextual lessons from the history of picture-making practices
12. Introduction: fuzzy-set representation and processing of fuzzy images; nonlinguistic vagueness as scientific practice; scientific epistemology, aesthetics, methodology and technology of fuzziness
13. Application of mathematics in the representation of images: from geometry to set theory
14. Cognitive framework of set-theoretic methodology of analysis and synthesis: categorization, classification and many faces of digital geometry
15. Conceptual resources and philosophical grounds in set-theoretic models of vagueness: fuzzy, rough and near sets
16. Analytic and synthetic forms of vague categorization
17. From intrinsic to extrinsic vague categorization and content
18. Pictorial representation and simplicity of categorization
19. Fuzzy visual thinking: interpreting and thinking with fuzzy pictures and fuzzy data
20. Pictorial approximation: pictorial accuracy, vagueness and fuzziness
21. Pictorial vagueness as scientific practice: picture-making and the mathematical practice of fuzzy categorization
22. Conclusion.
2. From ordinary to mathematical categorization in the visual world... of words, pictures and practices
3. Vagueness and fuzziness in words and predication
4. Representations: from words to images
5. Epistemology, aesthetics and pragmatics of scientific and other images: visualization, representation and reasoning
6. Visual representation: from perceptions to pictures
7. Vague pictures: epistemology, aesthetics and pragmatics of fuzziness, from fuzzy perception to fuzzy pictures
8. Blur as vagueness: seeing images vaguely and seeing vague images; perception and representation
9. Vague pictures as pictures
10. Vague pictures as vague representations and representing
11. The cognitive values of imprecision: towards a scientific epistemology, aesthetics and pragmatics of fuzziness, contextual lessons from the history of picture-making practices
12. Introduction: fuzzy-set representation and processing of fuzzy images; nonlinguistic vagueness as scientific practice; scientific epistemology, aesthetics, methodology and technology of fuzziness
13. Application of mathematics in the representation of images: from geometry to set theory
14. Cognitive framework of set-theoretic methodology of analysis and synthesis: categorization, classification and many faces of digital geometry
15. Conceptual resources and philosophical grounds in set-theoretic models of vagueness: fuzzy, rough and near sets
16. Analytic and synthetic forms of vague categorization
17. From intrinsic to extrinsic vague categorization and content
18. Pictorial representation and simplicity of categorization
19. Fuzzy visual thinking: interpreting and thinking with fuzzy pictures and fuzzy data
20. Pictorial approximation: pictorial accuracy, vagueness and fuzziness
21. Pictorial vagueness as scientific practice: picture-making and the mathematical practice of fuzzy categorization
22. Conclusion.