Topological Ontology and Logic of Qualitative quantity

Deleuze stresses out that space is like the topological figure origami – “the world can be
(un)folded in counless ways, with innumerable follds over folds. (Deleuze). Folds are
everywhere, and space is folded in many ways into the manyfolds. The folding and
unfloding of space becomes an evemt. Places are spatio-temporal events.
Zygmunt Bauman’s Origami of Modernity presents the human many folds of sociality.
There is always dihotomy of folds between the categories used by Bauman. These folds are
Bauman’s metaphors designed usually in pairs – solid and liquid, hard and soft, power and
politics … etc.
It is important to highlight the fact that in Bauman’s conceptualizations these pairs are not
opposed at all. There are not constructions build over the axis of versus in plane linear
thinking.
In Bauman we are dealing not with “solid vs. liquid”, but with the proposition of the
betweenness. In Bauman’s texts the frequent uses of “between” is presented.
Here is the same category of “betweenness” which is directing us to the topology.
Probably in the near future we may see how Zygmunt Bauman’s concept of Liquid
Modernity and his method of sociological hermeneutics will enhance the idea of Liquid
Modern Sociality through the topological approach to sociality based on the antrophological
methodology and sociology of associations what is itself Actor-Network Theory.
Let us return back to the beginning of this paper and the term “topological ontology” and
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. His “Phenomenology of the
Social World” supplied philosophical foundations for Max Weber's sociology and for
economics. Could we see the topological moments in the Schutz’s Phenomenology of the Social
World. Is it possible a 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
Topological Trace in Levinas Trace …
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