Saturday, May 19, 2018

COMPARED: ‘Possibilistic’ Categories-Counts as a Function of Stage of Dialectical Progression, for the Key Seldon Function Variants.







COMPARED:  Possibilistic Categories-Counts as a Function of Stage of Dialectical Progression, for the Key Seldon Function Variants.







Dear Readers,


The F.E.D. General Council has recently released a text module displayingPossibilistic Categories-Counts as a Function of Dialectical Progression Stage for the Key Seldon Function Variants.

A JPG image of this text module is scheduled to be posted to the F.E.D. main web site’s Applications Page, to its section entitled Universal Algorithmic-Heuristic Dialectical Method --



For your convenience, I have also posted this text image below.


Regards,

Miguel
























Thursday, May 17, 2018

The ‘‘‘gödelian’’’ Variants of the Product Rule Axiom for the _Q_ Seldonian ‘First Arithmetic for Dialectics.







The ‘‘‘gödelian’’’ Variants of the Product Rule Axiom

for the Q_ Seldonian First Arithmetic for Dialectics.







Dear Readers,


The F.E.D. General Council has recently released a text module describing The ‘‘‘gödelian’’’ Variants of the Product Rule Axiom for the Q_ Seldonian First Arithmetic for Dialectics.

A JPG image of this text module is scheduled to be posted to the F.E.D. main web site’s Applications Page, to its section entitled Universal Algorithmic-Heuristic Dialectical Method --



For your convenience, I have also posted this text image below.


Regards,

Miguel






















Monday, May 14, 2018

How Ontological Domain Partitioning varies with Seldon Function variation in the sub-N-Q_ categorial-dialectical method.







How Ontological Domain Partitioning varies with Seldon Function variation

in the NQ categorial-dialectical method.







Dear Readers,


The F.E.D. General Council has recently released a text module describing how ontological Domain partitioning into ontological categories varies with Seldon Function variation, in the NQ categorial-dialectical method.

A JPG image of this text module is scheduled to be posted to the F.E.D. main web site’s Applications Page, to its section entitled Universal Algorithmic-Heuristic Dialectical Method --



For your convenience, I have also posted this text image below.


Regards,

Miguel






















Friday, May 11, 2018

New Internet Dialogue Opens on the F.E.D. ‘Dialectical Mathematics’.







New Internet Dialogue Opens on the F.E.D. Dialectical Mathematics.







Dear Readers,


A reddit participant recently posted, and commented upon, an F.E.D. dialectogram, on one of our conjectures as to the opening triad of our version of the dialectic of Nature, at --



The dialectogramthere posted is a variant of the following --




This posters comments included the following --

“This is true art.  I am actually in awe of how much effort this person has put into this stuff.”



I responded, on behalf of F.E.D., as follows --


“The 9 axioms, grounding the arithmetic/algebra for dialectics applied in the diagram posted above, are stated, within the www.dialectics.org web site, at --





“That these 9 axioms incorporate a version of the first four, “first-order logic” axioms of the “[Dedekind/]Peano Postulates” for the system of arithmetic of the “Natural” Numbers, makes this arithmetic/algebra for dialectic a “non-standard model” of the Natural Numbers.  Such were foretold by the co-application, at the level of “first order” logic, of the Gödel Completeness and Incompleteness Theorems -- two of the deepest theorems of modern “mathematical logic”. An intuitive, dialectical derivation of the system of these “dialectical meta-Natural meta-numbers” from that of the standard “Natural Numbers” is available, within the www.dialectics.org web site, via --




“That these 9 axioms suffice to deductively derive, as a theorem, by a simple direct proof, a STRONG CONTRARY to what Boole called his “fundamental law of thought”, or “law of duality”, which is the core “axiom” of original Boolean algebra, makes this arithmetic/algebra of dialectic a “contra-Boolean algebra” -- an algebraic dialectical logic.  This simple direct proof is presented, within the www.dialectics.org web site, here --




“The resulting dialectical logic is a “supplementary opposite” to Boole’s algebra for formal logic, one that “aufheben”-contains/conserves Boole’s “fundamental law”, but which also “aufheben”-elevates and “aufheben”-negates Boole’s fundamental law for formal logic.  This new, “contra-Boolean” algebra expands Boole’s “law of [EXO-]duality” into a more universal, more general “law of ENDO-duality”.” 

“The www.dialectics.org site also recognizes a third axioms-system of dialectical- algebraic logic, one which reconciles the opposition between the Boolean and “contra-Boolean” algebras, in[to] a single ‘uni-system’ of dialectical algebra, incorporating and integrating both.” 

“For more about this third system of algebraic dialectical logic, and about the entire, systematic “dialectic/systems-progression of the systems of algebraic [dialectical] logic” -- of “algebras for [dialectical] logic(s)” -- see:








Sunday, April 29, 2018

The Generic Octadic Format for Dialectic as Applied to ‘‘‘HISTORICAL [DIAchronic] DIALECTICS-in-General’’’.







The Generic Octadic Format for Dialectic as Applied to ‘‘‘HISTORICAL [DIAchronic] DIALECTICS-in-General’’’.







Dear Readers,


The F.E.D. General Council has recently released an Octadic-Format dialectogramic summary/overview of our generic meta-equation meta-modelas applied for Diachronic, HISTORICAL DIALECTICS-in-General, for its epochs t = 0 to t = 3.

A JPG of this dialectogram is scheduled to be posted to the F.E.D. main web site’s Applications Page, to its section entitled Universal Algorithmic-Heuristic Dialectical Method [Octadics, JPG8] --



For your convenience, I have also posted this image below, together with its dual-modelimage, and an image about our Dialectical-Encyclopedic Principle of dual modeling.


Regards,

Miguel
























Saturday, April 28, 2018

The Generic Octadic Format for Dialectic as Applied to ‘‘‘SYSTEMATIC [SYNchronic] DIALECTICS-in-General’’’.







The Generic Octadic Format for Dialectic as Applied to ‘‘‘SYSTEMATIC [SYNchronic] DIALECTICS-in-General’’’.







Dear Readers,


The F.E.D. General Council has recently released an Octadic-Format dialectogramic summary/overview of our generic meta-equation meta-modelas applied for Synchronic, SYSTEMATIC DIALECTICS-in-General, for its presentation steps s = 0 to s = 3.

A JPG of this dialectogram is scheduled to be posted to the F.E.D. main web site’s Applications Page, to its section entitled Universal Algorithmic-Heuristic Dialectical Method [Octadics, JPG9] --



For your convenience, I have also posted this image below.


Regards,

Miguel






















Friday, April 27, 2018

‘‘‘THE DIALECTIC OF NATURE’’’ NOW -- The Synchronic, SYSTEMATIC DIALECTIC of Our PRESENT COSMOS -- Summary/Overview ‘Dialectogram’, to Presentation Step 3.







‘‘‘THE DIALECTIC OF NATURE’’’ NOW -- The Synchronic, SYSTEMATIC DIALECTIC of Our PRESENT COSMOS -- Summary/Overview Dialectogram, to Presentation Step 3.







Dear Readers,


The F.E.D. General Council has recently released a dialectogramic summary/overview of our meta-equation meta-modelforThe SYSTEMATIC Dialectic of Our [Known] PRESENT COSMOS -- i.e., of ‘‘‘THE DIALECTIC OF NATURE’’’ as CONTEMPORANEOUS TOTALITY, for its presentation steps s = 0 to s = 3.   

This dialectogram is the dual/companion to the summary/overview dialectogram for the HISTORICAL ‘‘‘THE DIALECTIC OF NATURE’’’, released here earlier.

A JPG of this dialectogram is scheduled to be posted to the F.E.D. main web site’s Applications Page --



For your convenience, I have also posted this image below, plus an image of the text-module on the E.D. 'diachronic meta-model'/'synchronic meta-model' duality, and an image of the dual, diachronic 'meta-model dialectogram' to this synchronic 'meta-model dialectogram'.


Regards,

Miguel























  

Tuesday, April 24, 2018

The TRIadic Pictorial Paradigm for Representations of DialecticS -- E.D. Standard Formats.







The TRIadic Pictorial Paradigm for Representations of DialecticS -- E.D. Standard Formats.







Dear Readers,


The F.E.D. General Council has recently released a comment introducing background regarding the traditional, triadic pictorial paradigm for the representation of dialectics.

A JPG image of this text module will be posted to the F.E.D. main web site’s Applications Page --



For your convenience, I have also posted this text below, as well as seven JPG images regarding the E.D. standard formats for the triadic pictorial paradigm for the representation of dialectics.


Regards,

Miguel