Topological Ontology and Logic of Qualitative quantity

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qualitative values do not. For example, red as a category has the typical redness at a certain frequency with peripheral redness at higher and lower frequencies. On the other hand, quantized qualitative values do not have such typical thing but still have, like quantity, ordinal relationship between values which categories do not. Quantity is further divided into quantitative quantity and qualitative quantity. The former is divided into attributeneutral and attribute-specific, and the latter includes “large”, “high”, “big”, etc. Examples of attributedependent qualitative quantity include long, heavy, expensive, etc Quantitative quantity includes ordinary values such as length quantity,weight quantity, etc. Large_small is special in the ontology of quantity. It is introduced to make powerful qualitative values. Examples include high/low, big/small, etc. One of the wellknown issues related to these values is how to realize qualitative values that are compliant with “A small elephant is bigger than a big ant” while guaranteeing “big” is larger than “small” in each context. Large_small realizes such qualitative values in a sophisticated way. Details are not discussed here. Those who are interested in it are encouraged to read the ontology. This is one of the most remarkable advantages of YAMATO over existing upper ontologies which cover only higher level types which are nowadays becoming a bit obvious.” 36 In the search machine of Hozo: Ontology Viewer 37 , one can intervent with the word “qualitative quantity” and the result will show the folloving: • List of Classes which referring to this class o quantitative generic quality o extrinsically qualitative o numbers_2 o times_2 o large_small o E_A_V o qualitative property o equivalence o comparative large_small • List of Super-classes o Any Particular dependent entity generically dependent • List of Sub-classes o qualitative quantity attribute_independent quality value quantity qualitative quantity 36 http://www.ei.sanken.osaka-u.ac.jp/hozo/onto_library/YAMATO101216.pdf) 37 http://hozoviewer.ei.sanken.osaka-u.ac.jp/HozoWebXML/file_name=YAMATO20120714.xml 14
meta attribute value counting_value numbers quality value times quality value deviation_2 non-meta value binary_value quantity quality value good_bad value ternary value attribute_dependent length quality value weight quality value volume quality value controllability value rationality value autonomy value beautiful_ugly value diarrhea value The search can be performed for the “quantitative quantity” as well. 15
Page 1 and 2: Topological Ontology and Logic of Q
Page 3 and 4: agreements about the representation
Page 5 and 6: Science” (Wissenschaftslehre), Bo
Page 7 and 8: Leśniewski's student Alfred Tarski
Page 9 and 10: Mereotopology is a first-order theo
Page 11 and 12: only that between process and event
Page 13: hierarchies to represent their mutu
Page 17 and 18: Fig. 2 Detail version of top-level
Page 19 and 20: differentiation enables us to captu
Page 21 and 22: 3.Quality: It is a property associa
Page 23 and 24: 3. The Topological Notion of Qualit
Page 25 and 26: series of Measure Relations” /b/,
Page 27 and 28: The true resurgence of Hegel’s Qu
Page 29 and 30: Kairos, Chora and Topos as follow:
Page 31 and 32: In Philosophical or Dialectical Her
Page 33 and 34: The roots of Hegel’s Qualitative
Page 35 and 36: Richter mentions these developments
Page 37 and 38: Name: Firstness. Secondness. Thirdn
Page 39 and 40: of something in its other. In his e
Page 41 and 42: This is not to say, however, that t
Page 43 and 44: One of the main concerns of hermene
Page 45 and 46: concept of spatiality. But they did
Page 47 and 48: David Gray Carlson’s “A Comment
Page 49 and 50: Hegel's great work on Logic, the
Page 51 and 52: For Paterson, the “true mathemati
Page 53 and 54: The term “social topology” is u
Page 55 and 56: of Leonard Euler and later with the
Page 57: To Meet the Other is to have the id

Topological Ontology and Logic of Qualitative quantity

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