Tuesday, March 30, 2021

‘Cosmological Self-Involution and the Monadic Content of our Cosmos’ -- Part 10: ‘Seldon on the Record’ Series.


 

 

Cosmological Self-Involution and the Monadic Content of our Cosmos  -- Part 10: Seldon on the Record Series.

 

 

 

Dear Reader,

 

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release by the F.E.D. General Council, key excerpts from the internal writings, and from the internal sayings, of our co-founder, Karl Seldon.

 

The tenth release in this new such series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

 

In this 10th installment, Seldon describes the vision of the ‘self-meta-evolution’ of our cosmos, as a whole, that the 512 categorial-terms equation-model, spelled-out below, embodies, covering from ‘cosmopoiesis’ up to ~1 epoch short of our present [local] cosmological-ontological-categorial ‘meta-state’. 

 

The three text-images for this blog-entry are posted below the following summary statement, by Seldon, regarding their broad meaning and significance, the meaning of the equation –


 

The "t2 = 9, 9th natural-historical epoch, ‘multi-image-page’ equation, posted below, is an N_Q_ -- first E.D. ‘arithmetic for dialectic’ language-expressed/formulated – ‘dialectical equation’, an equating between unity and diversity.”

 

“The aspect of unity is posited on the left-hand side [LHS] of this ‘dialectic equation’, which expresses a nine-fold symbolic ‘‘‘self-involution’’’ of the stipulated single, original, «arché-arithmos», of the symbol representing the ontological category of ‘“Dark Energy”’.”  “The aspect of diversity is posited on the RHS of this ‘dialectic equation’.  That right-hand side consists of a consecutively-ordered, non-amalgamative, non-reducing sum of 512 ontological ‘category-symbols, the cumulative yield of 9 successive epochs of «arché-arithmos»/subsequent-«arithmos» ‘‘‘self-involution’’’.” 

 

“It is the recursive cosmological, physical ‘‘‘self-involution’’’, so represented, that «aufheben» transforms – that concurrently negates/conserves/uplifts – the monadic ontological content of our cosmos.

 

By way, then, of summary, this "t2 = 9 equation-model envisions a “pure” space bursting into being, launching a vast and ‘self-iterating’ «aufheben» movement, beginning with the self-accelerated self-expansion of that “pure” space itself, then that space soon folding upon itself in its response to the ‘excession’ of its own velocity of self-expansion, and then self-in-folding ‘self-iteratively’ from there on, and from then on, until, with but one further ‘self-iteration’, it would encompass today, plus a prediction as to our cosmological-ontological future.

 

 

 

 

 

For more information regarding these Seldonian insights, please see --

 

http://www.dialectics.org/dialectics/

 

and

 

www.dialectics.info

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of dialectical art -- see:

https://www.etsy.com/shop/DialecticsMATH

 

 

 

 

¡ENJOY!

 

 

 

 

 

Regards,

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.],

Member, F.E.D. General Council

Participant, F.E.D. Special Council for Public Liaison,

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

Please post your comments on this blog-entry below!

 

 

 

 

 

 

 

 

 

 

 


 






Sunday, March 28, 2021

‘Higher Degree Self-Involution or Self-In-Folding in Perhaps Their Simplest Syntactic Expression’ -- Part 09: ‘Seldon on the Record’ Series.

 

Higher Degree Self-Involution or Self-In-Folding in Perhaps Their Simplest Syntactic Expression  -- Part 09: Seldon on the Record Series.

 

 

 

Dear Reader,

 

 

 

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release by the F.E.D. General Council, key excerpts from the internal writings, and from the internal sayings, of our co-founder, Karl Seldon.

 

The ninth release in this new such series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

 

In this 9th installment, Seldon describes the, highly-simplified, ideogramic’ syntax for the representation of – including of ‘higher-degree’ such -- ‘‘‘self-involutions’’’ of the «monads» represented by predecessor ‘self-hybrid’ ontological categories, in the formation of their successor meta-«monads»’, represented by successor ‘self-hybrid’ ontological categories, in the E.D. ‘First Arithmetic/Algebra for Dialectic’, using ‘ideograms representing key components of the E.D., singular, Dialectic of Nature to exemplify this ‘syntax for such self-in-foldings or self-involutions. 

 

The text-images for this blog-entry are posted below.

 

 

 

 

 

For more information regarding these Seldonian insights, please see --

 

http://www.dialectics.org/dialectics/

 

and

 

www.dialectics.info

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of dialectical art -- see:

https://www.etsy.com/shop/DialecticsMATH

 

 

 

 

¡ENJOY!

 

 

 

 

 

Regards,

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.],

Member, F.E.D. General Council

Participant, F.E.D. Special Council for Public Liaison,

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

Please post your comments on this blog-entry below!

 

 

 

 

 

 

 


 

 

 

 

 

 

 

 

 

 

 

 

Wednesday, March 24, 2021

‘Undefined Terms of the E.D. First Arithmetic for Dialectic’ -- Part 08: ‘Seldon on the Record’ Series.

 

 

 

Undefined Terms of the E.D. First Arithmetic for Dialectic  -- Part 08: Seldon on the Record Series.

 

 

 

Dear Reader,

 

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release by the F.E.D. General Council, key excerpts from the internal writings, and from the internal sayings, of our co-founder, Karl Seldon.

 

The eighth release in this new such series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

 

In this 8th installment, Seldon identifies two “primitives” or “undefined terms” of the axioms-systems of the various versions of the  N_Q_ first arithmetic for dialectic, in the dialectical  progression of the Seldonian axioms-systems for ever higher arithmetics for dialectic.

 

Seldon --

The concept of an ‘ontological category’, as well as that of the ‘‘‘unit(s)’’’ that are implicit in any such ‘ontological category’ -- each such unit sharing in the defining quality of that ‘ontic category’ -- are “primitives or undefined terms of the axioms-systems -- the ‘rules-systems -- that govern various variants of the N_Q_ system for dialectical arithmetic.”

 

 

“Similarly, “line” and “point” are undefined terms of Euclid’s ancient geometrical axiomatic system.”

 

 

“Such undefined terms are described to a degree, informally, but never specified exhaustively and precisely, in such systems.”


“Attempts to define all such terms impend potentially endless regresses.  Such “undefined terms” are often chosen because they name concepts that are broadly understood “intuitively” by the audiences to whom the presentations of the axiomatic systems are to be directed.”

 

“Deductive-logic-based axioms-systems require premises, postulates, axioms – a small number of assertions that must be taken as true on faith, or hypothetically, or provisionally, or that must be taken to be somehow “self-evident”.  Axioms-systems must have their [e.g., Aristotelian] “Archai” -- a few “truths” from which to begin their deductions, just as a dialectical ontological categorial progression must have an «arché»-ontological category to launch from, e.g., when formulated in the N_Q_  ‘ideographical’ language.”

 

 

“Similarly, the formal definitions of terms that a typical axiomatic system requires must have a starting point in the “undefined terms” or “primitives” of that system – terms in terms of which all other terms of that axioms-system must be defined.”

 

 

“Our old friend Morris Kline wrote as follows about the vicissitudes of “undefined terms” in axiomatic mathematics: “One reason that unintended interpretations [K.S. – i.e., “Nonstandard Models”, recalling that the N_Q_ are ‘‘‘non-standard models’’’ of the Peano “Natural” numbers, N.] are possible is that each axiomatic system contains undefined terms.  Formerly, it was thought that the axioms “defined” these terms implicitly.  But the axioms do not suffice.  Hence the concept of undefined terms must be altered in some as yet unforeseeable way.” --  from p. 272, in Morris Kline, Mathematics:  The Loss of Certainty, Oxford University Press, New York, 1980.

 

 

 

 

For more information regarding these Seldonian insights, please see --

 

http://www.dialectics.org/dialectics/

 

and

 

www.dialectics.info

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of dialectical art -- see:

https://www.etsy.com/shop/DialecticsMATH

 

 

 

 

¡ENJOY!

 

 

 

 

 

Regards,

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.],

Member, F.E.D. General Council

Participant, F.E.D. Special Council for Public Liaison,

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

Please post your comments on this blog-entry below!

 

 

 

 

 

 

 

 

 

 

 


 

Tuesday, March 23, 2021

'Our Cosmos as a Whole is Its Own Clock’ -- Part 07: ‘Seldon on the Record’ Series.

 

 

Our Cosmos as a Whole is Its Own Clock  -- Part 07: Seldon on the Record Series.

 

 

 

Dear Reader,

 

 

 

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release by the F.E.D. General Council, key excerpts from the internal writings, and from the internal sayings, of our co-founder, Karl Seldon.

 

The seventh release in this new such series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

 

In this 7th installment, Seldon describes the way in which our total cosmos constitutes its own, immanent -- if imperfect -- chronometer, but even so overcoming the seeming prohibition of same per Einstein’s Theory of General Relativity.

 

Seldon --

Our cosmos, as an expanding whole, is its own ‘‘‘natural clock’’’, albeit, as an irregular clock, an imperfect clock.”

 

“This universal ‘clock process’ is the process of the ‘‘‘radial’’’, presently accelerating, spatial self-expansion of and by our universe itself – “Dark Energy”.”

 

“The ‘definitionally self-expanding’, ‘finitary set of all sets’ that we have described and modeled, in detail, elsewhere, can be taken as a model of this whole-cosmos ‘clock-process’ of accelerating cosmological self-expansion, in both of the “moments” of its implicit meaning – in the sense of our universe’s topological, geometrical, quantitative self-expansion of the count-quantity of standard length units in its ‘‘‘radius’’’ or ‘‘‘diameter’’’, but also in the sense of our universe’s qualitative self-expansion, that is, its ontological self-expansion:  the continuing irruption in it, from out of it, of new ontology within this expanding ‘‘‘volume’’’ or ‘capacity’’’ of our cosmos.

 

 

 

For more information regarding these Seldonian insights, please see --

 

http://www.dialectics.org/dialectics/

 

and

 

www.dialectics.info

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of dialectical art -- see:

https://www.etsy.com/shop/DialecticsMATH

 

 

 

 

¡ENJOY!

 

 

 

 

 

Regards,

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.],

Member, F.E.D. General Council

Participant, F.E.D. Special Council for Public Liaison,

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

Please post your comments on this blog-entry below!