From: "John Foster" <borealis-AT-mercuryspeed.com>
Subject: Order: note 
Date: Tue, 25 Nov 2003 16:52:22 -0800


Heidegger has discussed the notion of order, as a category of essentia;l Being, in his essay "Modern Science, Metaphysics, Mathematics." 

Regula IV: (Descartes):

"Method is necessary for discovering the truth of nature."

Regula V:

"Method consists entirely in the order and arrangement of that upon which the sharp vision of the mind must be directed in order to discover some truth."

Referring to these and other regula ("basic and guiding propositions in which mathematics submits itself to its own essence"....2. "laying of the foundation of the mathematical in order that it, as a whole, becomes the measure of the inquiring mind."), Heidegger adds that "everything further is based on insightful order": 

"...[To] the essence of the mathematical as a projection belongs the axiomatical."

The axioms [principles] "must be absolutely first, intuitively evident in and of themselves, i.e., absolutely certain."

The critical insight here is found in the definition (2) of the Regula, which asserts "laying of the foundation...in order that it,*as a whole*, becomes the measure of the inquiring mind."

Science [discloses any substantive reality (facts) [Husserl] as the ordering principle must not be satisfied with 'vague concepts' as such. 

"The proposition...must be based on its foundation. It must be a basic principle - the basic principle absolutely" and "....cannot have anything in front of it and cannot allow what might be given to it beforehand." All inquiring must proceed from an absolutely given subject, an unmixed "original proposition" of the "I", first. 

Heideggers affirms that 'reason' is the highest ground of en-principation (elemental analysis):

"...thought, assertion, logos, is at the same time the guideline for the determination of Being, the categories." The fundamental principle therefore is the <hypokeimenon> [subjectum]....an original proposition....the subjectum [is] a fundamentum absolutum...." This basic positing itself is "thus indubitable and absolutely certain." No chaos nor incomplexity can obtain from this absolutely firm inconossum. Affirming that the mathematical (in the sense of a founding of the sum, "I am") takes cognizance of a fundamentum (foundational being) as those which "stand as something else in relation to the 'subject', which lies over against it as objectum. The things themselvs become 'objects.'"

Heidegger provides an example of the representation in thought of a Golden Mountain, for which he claims is used in language as something "subjective" since the Golden Mountain "does not exist 'objectively'" however it exists in the fundamentum. This is a 'radial change of Dasein' since what is regarded as 'subjective' is thus represented as an 'objectum' suggesting that mathematics as predominant [informal symbolic logic, natural reason] regards those objects as subjective as having no preference to non-imaginary objects, despite the useage of language. It makes no difference for 'symbolic logic' whether what is posited is real or imaginary. 

Any higher thought itself would be 'impure' and an intrusion onto the foundational proposition that I exist, I am, and that I have an imaginary thought. This is because another 'ontology' would be called into being which would contradict the original proposition, and for that to be valid would put the original absolutely subjective intuition of the Golden Mountain into question however subjective it is. Within the lasting order of pure reason therefore, for which mathematics is aligned, the truth of propositions which are foundational  are never disputed, except in relation, contestation, and 'demonic intrusion'...true doubt. 

"Reason so comprehended is purely itself, pure reason....the mathematical unfolding of its principles."

Positings of pure reason resides prior to 'intersubjective experience', shared minds, but not of spirit, which is eternal. 

"Like the things, the proposition to is simply at hand and is the container of Being." This is a very important and insightful declaration. "The mind is the hand of hands....The hand is an external brain'" [Aristotle]. 

Regula 111:

"...what we can clearly and insightfully intuit, or deduce with steps of certainty, for in no other ways is knowledge arrived at." [Rules for the Direction of the Mind, Descartes]

there can be no chaos issuing from certainty nor order, but rather uncertainty and complexity only because of 'delusional thinking' which is highly 'illogical'....

chao

john foster

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