‘‘‘Logics’’’ --
Boolean versus ‘Contra-Boolean’.
Dear Readers,
‘‘‘Boolean Logics’’’, represented
by the W_E
= W_qE ‘ideo-ontological’ category for the Boolean
“kind”, for the Boolean “family” of mutually-similar/variant axioms-systems,
are logics of ‘onto-stasis’ -- for modeling ‘statical
ontologies’, and wherein W_
denotes the first-order “Whole
Numbers” arithmetic.
These W_E logics are also arithmetical/algebraical models of
‘‘‘formal logics’’’.
‘Contra-Boolean Logics’,
represented by the W_Q =-| W_qEE ‘ideo-ontological’ category for the
‘contra-Boolean’ “kind”, for the ‘contra-Boolean’ “family” of mutually-similar/variant
axioms-systems, are logics of ‘onto-dynamasis’ --
for modeling ‘dynamical ontologies’ and ‘ontological dynamics’.
These W_Q logics are also arithmetical/algebraical
models of‘‘‘dialectical logics’’’.
However, this opposition
between Boolean and ‘contra-Boolean’ logics -- between W_E
and W_Q -- is
not an irreconcilable
or an unreconciled
radical dualism. We
have also identified a category of ‘synthesis systems’, of ‘uni-system’
axioms-systems, whose unsolved
W_Q-algebraic unknown
‘category descriptor’ is W_qQE.
Nor does this dialectical
categorial progression /axioms-systems-progression of
‘‘‘unit-interval’’’-based arithmetical/algebraical logics end with the
triadic ‘polyqualinomial’ --
W_E ~+~ W_Q ~+~ W_qQE.
On the contrary, hat dialectical categorial
progression extends to at least the 4-fold ‘tetra-qualinomial’ --
certainty logics ~+~ possibility logics
~+~ actualization logics ~+~ probability logics.
For more information regarding
these Seldonian
insights,
please see --
and
For ‘poster-ized’ visualizations of many of these Seldonian
insights -- specimens
of ‘dialectical art’ -- see:
¡ENJOY!
Regards,
Miguel Detonacciones,
Member, Foundation Encyclopedia
Dialectica [F.E.D.],
Participant, F.E.D.
Special Council for Public Liaison,
Officer, F.E.D.
Office of Public Liaison.
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