manifold

The concept of the domain
remains just as undetermined as the object of a concept when we say
35 any “object” whatever. /The only determining thing is the forms/. A
domain undetermined in this way, conceived with such full universality
and only more precisely determined by forms, is what modern
mathematicians call a manifold. And, they call the theoretical system

——————–

PURE LOGIC AS THEORETICAL SCIENCE

83

of the formal inferences /the theory of this manifold/. It is better
called a manifold form and the corresponding expression for that is,
naturally, theory form.

Edmund Husserl, INTRODUCTION TO LOGIC AND THEORY OF KNOWLEDGE

What is a “manifold”? To start with, nothing more than an “aggregate” or
a “class” of objects conceived in complete indeterminacy and
universality.

Edmund Husserl, INTRODUCTION TO LOGIC AND THEORY OF KNOWLEDGE, 84

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