Author discovers that his Life’s Work encompassed Disobedient Equations.
Providence provides the Author with his area of Mathematical Investigation.
Author imagines that Academia had encompassed his Mathematical Studies.
Scientific Endeavor devoted, almost exclusively, to Obedient Equations
Obedient Equations belong to set of Well-Founded Functions that don’t contain themselves.
Mathematical labels, ‘well-founded’ and ‘regular’, reveal Scientific Bias.
Scientists shun Disobedient Equations – non-well-founded Functions that aren’t Regular.
Set Theory based in Either/Or Reasoning of the Container Metaphor
A Prime Scientific Endeavor: putting all Phenomena into Container Boxes
To Box things up, Scientists must first identify Essence.
Essence is Permanent.
Mathematics determines Permanent Causal Relationships between Essences of Category Boxes
Life Sciences don’t employ Mathematics to determine Permanent Relationships
Science Box expanded to include any endeavor that has rigorous procedure for determining Essence & Category
Under this expanded definition, both Soft and Hard Sciences participate in Container Metaphor of Set Theory.
Well-founded Functions of Set Theory & Traditional Logic based in Container Metaphor
Either/Or Logic of the Excluded Middle
Fallacy of the Excluded Middle: Eliminates the Middle Ground
Refinement of category Boxes to eliminate the Middle
Traditional Scientific Perspective believes the Middle can be Excluded
This volume devoted to exploring the nature of Science’s Excluded Middle
Link: Why Matter is an ideal subject for the either/or Logic of Obedient Equations
Life & Disobedient Equations, such as the Living Algorithm share a similar logic.
Obedient Matter & Disobedient Life have different types of Logic & Equations.
Life excited to finally have a voice that doesn't attempt to fit her in Matter's Logic Box.
Understanding material interactions doesn't assist Life to fulfill her potentials.
Living Algorithm & Life are disobedient because they don't adhere to Either-or Logic.
Either-or Logic perfect for unitary nature of Subatomics, the building blocks of Atomic World.
Either-or logic doesn't apply to Living systems due to self-reflective nature.
Is there any connection between Living Algorithm's info quanta and the info packets of the material world, Electrons and Photons?
To understand idea of disobedient equations must understand cognitive perspective.
Where Mathematics Comes From by Lakoff & Nunez: one of the Author’s Sacred Texts
Metaphorical mapping from concrete to abstract thought systematic, not arbitrary
Conceptual Metaphor: a grounded, inference preserving cross-domain mapping
Conceptual Metaphors used relatively continuously to Organize & Communicate
Big 3 of Cognitive Science: Embodiment of Mind, the Cognitive Unconscious, & Metaphorical Thought
Conflation: Two Distinct Experiences merged as Single Complex Experience
Conceptual Metaphor: Inferential Structure of Concrete Domain applied to Abstract Domain
Basic Understanding of Cognitive Science required for following Discussion
Concrete Sensory/motor Network supplies inferential structure of Abstract Thought
Conflation merges two cognitive events into single complex experience.
Conceptual blends: multilayered conceptual metaphors
Mathematicians employ Conceptual Blends to create Logical System – Logos
Scientific community views Logos as monolithic, rather than a metaphorical blend.
Conceptual Metaphors have limited, not unlimited, application.
1) Truncation of experience necessary for exact metaphorical fit
2) Paradoxical Boundaries
To eliminate contradiction, Mathematicians give up continuity
Unconscious Blending – Conscious Deconstruction
Deconstructing Conceptual Blends of Mathematics to better understand Disobedient Equations
Cognitive Perspective on History of Mathematics to provide Context for Investigation
Drs. Lakoff & Nunez deconstruct conceptual metaphors of Mathematics
Mathematical Deconstruction is Critical & Descriptive
Conflation: two events joined as single complex neurological experience
Metaphorical linkage is not Reality
Innate Tendency to take Metaphor for Reality
Literary Metaphor solidifies with usage to expand Definition
Deconstruction of Metaphorical Blends can ignite Anger
Deconstructing Conceptual Blends leads to Emotional Growth for Individual & Culture
Drs. Lakoff & Nunez deconstruct the unconscious conflations of Mathematics
Reiteration: Conflation, the innate neurological tendency to believe that the symbol is real.
Deconstruction of Cultural Metaphor: a Community Service
Deconstructing the Mathematical Metaphor reveals the Living Algorithm’s context and purpose.
Logic of sight & sound are metaphorical blends
Logic of sight: a complex blend of image schema
Container schema: Interior, Exterior & Boundary
Image Schemas: the link between language & spatial perception
Image Schemas have built-in Spatial ‘Logics’.
Spatial ‘Logics’ of Image Schemas at the foundation of Mathematical Reasoning
Image Schemas are embodied in the neural networks of the brain.
Image schema play a central role: linking language, brain, logic, and sight in one package.
All Author’s cognitive info from 1 book that focused upon image schema.
Auditory Logic of Info Packet metaphor more appropriate for Subatomic behavior, Living Algorithm & Life
Understanding Info Packet metaphor via Inferential Structure of Container schema
Comparing & Contrasting Conceptual Metaphors: Visual & Auditory
Despite technical shortcomings, the analyis is compelling due to what it reveals about Life.
Container Metaphor stands for the Logics of Sight.
Info Packet Metaphor stands for the Logics of Sound.
3 Elements of Container & Info Packet Metaphor
Container & Transmission structures form gestalts
Static Container Metaphor requires a Boundary
Dynamic Info Packet Metaphor has no Boundary, therefore no Absolute Essences.
Info Packet Metaphor for the changeable Essences of the transient Subatomic World
Info Packet Metaphor for the Transient Nature of Living Matter
Meaning relevant for Life, not Matter
Due to Meaning, Info Packet metaphor more appropriate for Life
Material Science ignores differences between hands & sticks.
Humans supply the Meaning behind Information.
Electronic Information Processing does not supply Meaning.
Living Algorithm links Past with Present to provide an Essence of Meaning.
Life generates Future Expectations with the Living Algorithm’s derivatives.
Meaning: Life‘s urge, the Living Algorithm’s digestion process & Info Packet’s Logic