**The F**.

**.**

__E__**.**

__D__*"*--

**Meta**-**Boolean****Proposition**"

*The Fundamental**"*.

**Law**"**of**__Dialectical__ThoughtDear Readers,

In

**1854**, George Boole published a ground-breaking treatise on the mathematics of logic entitled

*"*, which sets forth an arithmetic, and an algebra for that arithmetic, which modeled classical Aristotelian logic, or "formal logic", and in which he arithmetically represented the class of

**An Investigation of the Laws of Thought**"**things, or the "**

__all__**Universe**" class, for a given "universe of discourse", by the "Boolean" version of the number

**1**, and the class of

**things, or "**

__no__**Nothing**", by the "Boolean" version of the number

**0**.

Expressed in the language of that "Boolean algebra" of logic, Boole's

*"*takes the form --

**Fundamental Law of Thought**"**x(x)**.....

**=**.....

**x**

-- i.e., "

**x**", or "

*of*x*equals*x**x**

*squared equals***x**".

This "logic-equation" signifies that the

*self**-*of any

**reflexion****, denoted generically by the "unknown" value,**

*category***x**,

**that**

*simply reproduces***itself, without any further "explicitization" of**

*category*

*category***x**; without any change/development of that

**whatsoever; without any**

*category**"*of that

**expanded reproduction**"**e.g.,**

*category**a la*Hegel's --

**of**

__Being__**.....**

__Being__**=**.....

__Being__**+**

__Nothing__This 'logic-equation" also asserts either that "logical

**linearity" does not exist, or, if it does exist, that it makes no difference -- that "logical**

__non__**linearity" [e.g.,**

__non__**x**

*squared**"*, i.e.,

**x**"to the power

**2**"] reduces immediately to "logical linearity" [e.g., to just

**x**, i.e., to

**x**"to the power

**1**"].

**F**.

**.**

__E__**. presents an**

__D__**of the Boolean arithmetic for formal logic as one of the pathways to the discovery/evocation of their**

*immanent critique**"*

**First**__Dialectical__

*Arithmetic**"*, the "purely-

**itative" arithmetic of the**

__qual__**N**

__Q__*"*, or

**meta**-**numbers**"*"*--

**dialectors**"**N**....

__Q__**....**

__=__**{**,

__q__/1**,**

__q__/2**,**

__q__/3**. . . }**.

Boole writes, in his

*"*, that --

**An Investigation of the Laws of Thought**"". . . we cannot conceive of the addition of any class

**x**to the universe

**1**."

-- an assertion which, in its context, partially "explicitizes" the [partially] "

**Parmenidean**" character that Boole presumed for

**universes of discourse: that all such universes must be**

__all__**rather than**

*ontologically*__statical__

*ontologically***, never adding any new ontology to their content as a result of any immanent self-processing**

__dynamical__*their "old" ontology,*

__of__*their "old" ontology, that they might exhibit.*

__by__The

**F**.

**.**

__E__**.**

__D__*'*is then the following --

**Meta**-**Boolean Proposition**'*'''*"universes-of-discourse" -- be they experienced by humans as "purely physical/external-to-mind", as "purely-mental/internal-to-mind", or as a hybrid of the two -- are

**Actual****.'''**

*inherently ontologically*__dynamical__*'''*"universes-of-discourse" are

**Actual****adding new**

__continually__**, new**

*classes***,**

*kinds***--**

*new ontology*

*new*__physio__*-*,

**ontology**

*new*__ideo__*-*, and/or

**ontology****of the two -- to themselves.'''**

*new hybrids*'''The

**"fundamental law of human thought" must therefore be of the form of,**

*actual***--**

__not__**x(x)**....=....

**x**

-- but of the form of --

**....**

__x__(__x__)**=**....

**..**

__x__**+**..

**_**

__delta__

__x__-- wherein "

**_**

__delta__**" denotes the**

__x__

*purely**-*representing possible

__qual__**itative**,**categorial increment**

*newly**-*, produced by the self-reflexive action -- in thought, internal to a human mind, and/or in the actuality external to that mind -- of

**born****ontology****upon itself.'''**

__x__'''The

**F**.

**.**

__E__**.**

__D__**N**

__Q__*"*, together with their axioms,

**meta**-**numbers**"*found an arithmetic which instantiates this corrected*

*"*[

**fundamental law of****]**

__dialectical__**.'''**

*thought*Regards,

Miguel

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