The Existential analytic is an investigation into how we encounter beings; or into the kind of being possessed by beings in different modes. A being can be (1) wrapped up in use as equipment or tools-in-use (e.g. skillful hammering) [ready-to-hand] (2) interrogated theoretically as some object of thought (e.g. looking at a hammer-stick-blob) [present-at-hand] (3) encountered as broken or malfunctioning, demanding attention to return it to smooth activity.
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The Existential analytic is a phenomenological description of Dasein's within-the-world encounters with entities, the world itself, being-in, and the within-ness of Dasein.
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The Existential analytic is not at all pursued through proof (by the rules of the 'logic of consistency) or by grounding any propositions by constructing a deductive argument for it, but rather by "laying bare" or "exhibiting" phenomena.
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