Topological Ontology and Logic of Qualitative quantity

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inspected ``from the outside'', only for it to creep in from the back in the very act of investigation.” The topological notion of Hegel’s logic contains the seed of topological hermeneutics with “genuine infinite, a circle closed on itself” …The infinite that wants to be unlimited, because as Hegel points out – “there are two worlds, one infinite and one finite, and in their relationship the infinite is only the limit of the finite and is thus only a determinate infinite, an infinite which is itself finite." 117 What the understanding should not forget is that these alternating determinations of the finite and the infinite are ultimately determinations of one unified something. Topological cobordis is just another dialectical and hermeneutical view on the betweennes of these two somethings – the finite and the infinite. 9. Toward phenomenology of social topology through qualitative quantity: Topological Ontology and … Social Topology of Pierre Bourdieu, the four divisions of the lifeworld or “the crux of Schütz” as topological structure of the Lifeworld, sociological hermeneutics of Zygmunt Bauman, and A Levinasian Topology in Levinas’s 'Aborder Autrui’ (Topological Trace in Levinas Trace …) In progress….! Abstract: This chapter will focus on sociology defined as “social topology” by Pierre Bourdieu, on the topological notion of sociological hermeneutics of Zygmunt Bauman, and in return back to the beginning of this paper and the term “topological ontology” will approach the domain of Huserls’s phenomenology and ontology trough the philosophy of Alfred Schutz who more than any other phenomenologist, attempted to relate the thought of Edmund Husserl to the social world and the social sciences. In this chapter the topological moments in Schutz’s Phenomenology of the Social World will be discussed as well as the possible topological approach to the phenomenology of the social world and ontological construction of lifeworld. In Schutz’s “Phenomenology of the Social World”, we may find “Part 7.4 World Within My Reach and Topological Organization” [195(2)]. According to Schutz, there are four divisions of the lifeworld, that has been called 'the crux of Schütz's theoretical contribution. Can we use topology (topological philosophy or philosophical topology) to understand Schutz’s idea of sharing “with me a community of space and a community of time” Could we see the structure of the Lifeworld as topological structure and Schutz’s theory of relevance as topological homology The core atterntion in this chapter will be paid to Topological Trace in Levinas Trace, exploring the two main topological moments in phenomenology of Emanuel Levinas – the first s embedded in the idea of infinity and the second is encrypted in Levinas’s concept of 'Aborder Autrui’ – “To meet the Other is to have the idea of Infinity”. The metaphor of topological cobordism will be used to co-bord the Levinas’ 'Aborder Autrui’, mapping out what J. Aaron Simmons calls “Vision without Image: A Levinasian Topology” 118 117 Hegel's Science of Logic, trans. A. V. Miller, trans., Atlantic Highlands: Humanities, 1990. Original German Text: Wissenschaft der Logik I, Frankfurt: Suhrkamp Verlag, 1970., 139-140. 118 J. Aaron Simmons, "Vision Without Image: A Levinasian Topology," Southwest Philosophy Review 25, no.1 (2009): 23-31. 52
The term “social topology” is used by Pierre Bourdieu as definition of sociology, in his “Social Space and Symbolic Power”, 119 a lecture delivered at the University of California, San Diego, in March of 1986. As Bourdieu established: “The ‘social reality” which Durkheim spoke of is an ensemble relations, those very relations which constitute a space of positions external to each other and defined by their proximity to, neighborhood with, or distance from each other, and also by their relative position, above or bellow or yet in between, in the middle. Sociology, in its objectivist moment, is a social topology, an analysis situs as they called this new branch of mathematics in Leibniz’s time, an analysis of relative position and the objective relations between these positions.” (p.16) One of the most brilliant and original social thinkers of our times, Zygmunt Bauman, who elaborated the term Liquid Modernity as substitute for the postmodernity, has proposed the “sociological hermeneutics” as an method for encountering the sudden changes and risks of the Liquid Modern Times and Sociality. Bauman pointed that it should not be confused with the hermeneutical sociology. Sociological hermeneutics of Zygmunt Bauman is a central tenant of his sociology. According to Bauman, concepts are needed to grasp the objects of cognition, and methods are called for to render them graspable. We work out the concepts and the methods as we struggle through the unending series of trails and errors. For Zygmunt Bauman there are three types of space of social space. Each type transposes qualities of physical space such as near and far, or closed and open, onto our experience of self and other. These three types are cognitive space, aesthetic space and moral space. All three social spaces are relation to the others. - Cognitive space is constructed intellectually and defines our knowledge of others. - Aesthetic space is the terrain of our interest in others “guided by curiosity”. - Moral space is the distribution of our responsibilities and commitment to others. The “stranger” benchmarks each type of social space. Relationships between the three types of social space are changed through time. 119 Pierre Bourdieu, Social Space and Symbolic Power, Sociological Theory, Vol.7, N.1 (Spring, 1989), 14-25: http://www2.selu.edu/Academics/Faculty/jbell/bourdieu.pdf 53
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 and 14: hierarchies to represent their mutu
Page 15 and 16: meta attribute value counting_valu
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: For Paterson, the “true mathemati
Page 55 and 56: of Leonard Euler and later with the
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