Husserl - Intuition, categorial object and categorial intuition

Intuition:

An intuition is an act characterized by intuitive fullness, that is, by the presence of presenting contents or representing contents in the act. While Husserl abandoned the early doctrine of representing contents, it remains the case for him that intuitions are characterized by the presence of sensuous content, that is, that intuitive acts are perceptions or modifications of perception. It is in this sense that intuitions present an object in its “bodily givenness” and that they serve as evidence. For example, a name expressing the empty intention of an object is fulfilled in the perceptual intuition of the named object precisely as named. Similarly, a declarative sentence expressing a judgment is fulfilled in an intuition that is the modification of a perception, namely a categorial intuition, that “bodily” presents the state of affairs as judged.
Categorial object
A categorial object is one infused with form or structure. Examples of categorial objects are states of affairs, groups, relations, numbers, or any object in which parts have been articulated. The articulated whole, in which the parts are both distinguished and joined together, is the categorial object. The categorial object can be intended in an empty signitive intention or in a categorial intuition, and the categorial object is the identity given in this manifold of absent and present modes. Early in his career—up through the Logical Investigations—Husserl understood the distinction between non-categorial and categorial objects and that between pre-predicative and predicative experiences as correlates, but he came to recognize that even pre-predicative experience has a kind of categoriality proper to it. This pre-predicative categoriality is not yet fully articulated, but it nevertheless adds a moment of form to what is experienced. The adumbrational character of perception means that the object is experienced as something or other; perception is categorially structured in an anticipatory manner by the hermeneutic-as (p. 51)

Categorial intuition:
A categorial intuition is the fulfilling act for an empty, signitive intention of a categorial object. Categorial intuition directly presents the unity of whole and part, of the members of a group, of the terms of a relation, and so forth. Categorial intuition is a modification of perception, insofar as the subject sees, for example, not merely “the red door” but “that the door is red.” The formal or categorial moment of the categorial object is not the correlate of a perceptual moment in the fulfilling act insofar as the categorial intuition is not directed simply to the concrete object or to any of its abstract perceptible qualities. Instead, categorial intuitions, as do all categorial acts, involve a moment of thinking that moves beyond its perceptual foundations. Categorial intuition is a “thoughtful perception” that does not merely add thoughtfulness to perception but unifies what is directly encountered in and of an object that is at once perceived (or remembered or imagined) and thoughtfully articulated. (p. 50)
John Drummond: Historical Dictionary of Husserl's Philosophy (Historical Dictionaries of Religions, Philosophies and Movements) The Scarecrow Press, Inc., 2007

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"All testing, all confirmation and disconfirmation of a hypothesis takes place already within a system. And this system is not a more or less arbitrary and doubtful point of departure for all our arguments; no it belongs to the essence of what we call an argument. The system is not so much the point of departure, as the element in which our arguments have their life."
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