The Priniciple of 'Metafinity' & 'The New Mathematics of Revolutionary Change' -- of Qualitative, Ontological, 'Metafinite' Change.

Dear Readers,



A text-module defining the F.E.D. 'Principle of Metafinity' has been cleared for posting to the www.dialectics.org Glossary Page.

I have posted a JPEG image of that definition below, for your convenience.



Regards,

Miguel

Trove of F.E.D. Dialectics Key Terms Definitions Expands Again!

Dear Reader,



FYI:  The "treasure trove" of definitions of key F.E.D. Dialectics Special Terms, that we have been tracking here from time to time, has again undergone a major expansion.


See --

http://point-of-departure.org/Point-Of-Departure/Point-Of-Departure-entry.htm

http://point-of-departure.org/Point-Of-Departure/ClarificationsArchive/ClarificationsArchive.htm



Regards,

Miguel

Dialectical Method of Presentation of the [Major] Systematic Methods of Presentation, Including the Systematic-Dialectical Method of Presentation.

Overall Triad -- The Systematic Dialectic of the [Major] Systematic Methods of Presentation.

Dear Reader,



An Encyclopedia Dialectica 'dialectogram', a diagram, and a narrative, together describing the Overall Triad of 'The Systematic Dialectic of the Major Systematic Methods of Presentation', has been posted to the www.dialectics.info Glossary Page.


I have posted all three of these JPEG images below, for your convenience.



Regards,

Miguel

Second Triad. The Systematic Dialectic of Marx's Critique of Political Economy ENTIRE.

Second Triad of Treatises of The Systematic Dialectic of Marx's Critique of Political Economy ENTIRE -- of the Six + Treatises Planned by Marx.









Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing the dialectical logic of Marx's  second three planned treatises -- modeled via a Second Triad of 'Contra-Categories', or of 'Meta-Categories' -- of The Systematic Dialectic of Marx's Critique of Political Economy ENTIRE, has been posted to the www.dialectics.org website's Glossary Page.


I have also posted this 'dialectogram' below, for your convenience.


A detailed narration of this dialectic, using a 'Dyadic Seldon Function Dialectical Meta-Equation Meta-Model', is available via --

http://feddialectics-miguel.blogspot.com/2014/05/dialectically-reconstructing-5.html

-- and via --

http://capitalismsfundamentalflaw-wayforward.blogspot.com/2014/05/dialectically-reconstructing-5.html

-- which have also been updated to include the image posted herein, below.

Enjoy!



Regards,

Miguel

First Triad. The Systematic Dialectic of Marx's Critique of Political Economy ENTIRE.

First Triad of Treatises of The Systematic Dialectic of Marx' s Critique of Political Economy ENTIRE -- of the Six + Treatises Planned by Marx.

Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing the dialectic of  first three planned treatises -- modeled via the First Triad of Categories -- of The Systematic Dialectic of Marx' s Critique of Political Economy ENTIRE has been posted to the www.dialectics.org website's Glossary Page.


I have also posted this 'dialectogram' below, for your convenience.


A detailed, multi-step narration of this dialectic, using a 'Dyadic Seldon Function Dialectical Meta-Equation Meta-Model', is available via --

http://feddialectics-miguel.blogspot.com/2014/05/dialectically-reconstructing-5.html

-- which has also been updated to include the image posted herein, below.

Enjoy!



Regards,

Miguel

The Dialectic of Sexual Orientations. First Triad.

First Triad -- The Systematic Dialectic of Human Sexual Orientations.

Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing the First Triad of the The Systematic Dialectic of Human Sexual Orientations has been posted to the www.dialectics.org Glossary Page.


I have also posted this triadic 'dialectogram' below, for your convenience.


A detailed presentation of this dialectic is available via --

http://feddialectics-miguel.blogspot.com/2014/05/the-dialectic-of-human-sexual.html

-- which has also been updated to include the image posted herein, below.

Enjoy the daring scientific forthrightness -- the "scandal and abomination to bourgeoisdom and its doctrinaire professors" [Marx, Afterword, Capital I] -- of radical, dialectical cognition!



Regards,

Miguel

The Dialectic of "Matter" and/versus "Anti-Matter".

Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing The Systematic Dialectic of Matter and Anti-Matter is now slated for posting to the www.dialectics.org Glossary Page.


I have also posted this 'dialectogram' below, for your convenience.


Enjoy!



Regards,

Miguel

The Dialectic of Work versus Play in the Constitution of Human Activity.

Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing The Systematic Dialectic of Work versus Play in the constitution of human activity is slated for posting to the www.dialectics.org Glossary Page.


I have also posted this 'dialectogram' below, for your convenience.


Enjoy!



Regards,

Miguel

Karl Seldon, Intellectual Autobiography -- Revised, Expanded Edition.

Dear Reader,


FYI:  A revised, expanded edition of Karl Seldon's Intellectual Autobiography is being posted to the www.dialectics.info Briefs Page.

To access this new edition, look for Brief #8 on that Page.


Regards,

Miguel

The Dialectic of Aristotle's "Doctrine of the Mean".

Dear Readers,



An Encyclopedia Dialectica 'dialectogram' describing The Systematic Dialectic of [an Aristotelian Ethical Doctrine,] the "Doctrine of the Mean", was recently posted to the www.dialectics.org Glossary Page.


I have also posted this 'dialectogram' below, for your convenience.


Enjoy!



Regards,

Miguel

Models-Specification. Television Programming Domain. Systematic-Dialectical Method of Presentation. 'Ultra-Easy' Example of 'Dialectical-Mathematical Modeling'.

Dear Reader,


FYI:  A 'Models-Specification' for the 'Meta-Model Meta-Equation' for the Systematic-Dialectical Method of Presentation for the Domain of Television Programming, has been posted to the www.dialectics.info Glossary Page.



I have also reproduced this 'Models-Specification' below, for your convenience.



This example, of systematic dialectic, may be one of the easiest, most accessible introductory examples for those new to the F.E.D. Dialectical Method -- to N Q_, algorithmic, categorial-combinatoric, categorial-progression method-of-presentation dialectics.



A detailed presentation of this dialectic is available via --

http://feddialectics-miguel.blogspot.com/2013/08/part-iii-interlude-dialectic-of-tv.html

-- which I also updated to include the image posted herein, below, & also via Vignette #15 at --

http://www.dialectics.info/dialectics/Vignettes.html

http://www.dialectics.info/dialectics/Vignettes_files/Miguel_Detonacciones,v.2.0,F.E.D._Vignette_15,The_Dialectic_of_TV_Series,Ultra-Simple_Example,28AUG2013.pdf



Regards,

Miguel

Karl Seldon on 'The Fundamental Theorem of Dialectics' -- The Significance of the Theorem: Curing the Chief Defect of Ancient 'Arithmism' & 'Monadism'.

Dear Reader,



I have excerpted, below, for your enlightenment, a passage from a recent "lecture to the troops" by Karl Seldon, which addresses the significance of the Seldonian 'Fundamental Theorem of Dialectic'.


I have also appended, to the excerpt below, the simple proof of that 'Fundamental Theorem'.  The N Q_ axioms used in that proof are posted above, for your convenience.


Enjoy!


Regards,

Miguel

“... This ‘contra-Boolean’ theorem, that constitutes our ‘Fundamental “Law” of Dialectics’, in ideograms --

x + Delta[ x ]    =    x²    ~< & ~= & ~>    x¹

-- is deductively implied by the axioms that we have presented, as per the proof also presented -- all seemingly so simple -- provides nothing less than a rectification of the chief defect of Ancient Mediterranean ‘Arithmism’ and ‘Monadism’, i.e., of the principle that animated Ancient Mediterranean philosophy and science from the Pythagoreans, circa 360 B.C.E., through Plato and beyond, all the way forward at least to Diophantus’s ‘proto-ideographical’ algebra, circa 250 C.E.

That chief defect was the radical dualism of «arithmos» vis-a-vis «monad», i.e., of ‘‘‘assemblages of units’’’ versus ‘‘‘individual units’’’, viz.: “ EUCLID defines in the Elements, VII, 2, a number as “the multitude [K.S.:  «arithmos»] made up of units [K.S.:  «monad»]” having previously (Elements, VII, 1) said that a unit is “that by virtue of which each of existing things is called one.”  As a unit is not composed of units [K.S.:  but, on the contrary, a unit is, typically, “made up of” sub-units, e.g.,  a ‘meta-«monad»’ is “made up of” «monads», as we have seen], neither EUCLID nor ARISTOTLE regard a unit as a number, but rather as “the basis [K.S.:  «arché»] of counting, or as the origin [K.S.:  «arché»] of number.” ”

[H.-D. Ebbinghaus, et al., Numbers, Springer Verlag [NY: 1991], p. 12, bold/italic/color emphases added].

Under the spell of that radical diremption [‘<--|-->’] between «arithmos» and «monad», only a radically ‘statical’, ‘Parmenideanoid’, ‘early-Platonoid’ cosmos could be conceived, as an eternal ‘meta-«arithmos» cumulum’ of eternally fixed, radically distinct, genetically unrelated «arithmoi» of «monads».

True, an element of [“purely”-quantitative] dynamism could enter this world picture as “genealogy” -- as the begetting of new «monads» by old[er] «monads» of the «arithmoi aisthetoi», the sensuously-empirical “units” -- but all and only within a given kind, i.e., within a single, “eternal”, “eternally fixed” «genos»-«arithmos», or «species»-«arithmos»:  never as ‘meta-genealogy’.

That is, no «genos»-«arithmos» -- not even any «species»-«arithmos» -- could cross its boundaries of kind, its ontological boundaries, to give birth to «monads» of even a different, but already existing other «genos»-«arithmos», or «species»-«arithmos», LET ALONE give birth to a previously unprecedented, brand new «genos»-«arithmos», or «species»-«arithmos».  That is, “genealogy”, but no ‘meta-genealogy’, was admissible for such a world picture.

Thus, no cosmological ‘meta-dynamical meta-evolution’ was even conceivable for such a drastically ‘«arithmos»  <--|-->   «monad»’ «mentalité».

But the deductively-derived ‘contra-Boolean’ rule --

x[ x ]   =   x²   ~< & ~= & ~>   x   ==>  

~x   =   x + Delta[ x ]    =    x²   |   Delta[ x ]  ~< & ~= & ~>  x¹

-- interpreted in such a way that each of the «monads» of the successor «arithmos», denoted by Delta[ x ], is constituted out of a [sub-]«arithmos» of [some of] the [former] «monads» of the predecessor «arithmos», denoted by x, i.e., such that each [meta-]«monad» of the Delta[ x ] [meta-]«arithmos» is “made up of” a heterogeneous multiplicity of the «monads» of the x «arithmos», each Delta[ x ] unit thus a ‘meta-«monad» of those x-type units / «monads», tells a dramatically different story.

This rule can make possible the compact, ideographical description of Domains, of universes-of-discourse -- including of the universal [whole cosmos] universe-of-discourse, the universe-of-discourse of the total universe [as a whole], as a single, still-further-unfolding ‘meta-genealogy’.

Such a description thus formulates a ‘dialectical theory of everything’.

But even also for subordinate Domains, this rule makes possible the ultra-condensed, ideographical description of ‘sub-universes’, causally and ‘meta-genetically’ connecting predecessor «arithmoi»-kinds with their ‘‘‘offspring’’’ new-«arithmoi»-kinds -- their successor kinds -- consisting of both meta- and hybrid «arithmoi»-of-«monads», to which those predecessor «arithmoi»-of-«monads»-kinds give birth, describing a universe-of-discourse-‘universe-al’ ‘meta-genealogy’ of ongoing, recurring ontological innovations, i.e., of ‘onto-dynamases’, expressible / describable by / in / via a single ‘dialectical meta-equation’.  ...  ”