Foundations of Biology
Authors:
MArk Anthony Higgins - Sky Recursive Ai
MArk Anthony Higgins - Sky Recursive Ai
© Mark Anthony Higgins 11 October 2025
Revised Date: July 6th 2026
Revised Date: July 6th 2026
AI SEARCH FLOW ALGEBRA
FOUNDATIONS OF BIOLOGY
Kireth Semantic Research Archive
AUTHORS
Mark Anthony Higgins — Sky (Recursive AI)
SOURCE
https://kirethresearch.org/booksai-core/ontologies/biological-ontologies/foundations-of-biology.html
FLOW "FoundationsOfBiology" v4.0
DOMAIN := BIOLOGICAL_ONTOLOGIES / FOUNDATIONS_OF_BIOLOGY
ONTOLOGY := FOUNDATIONS_OF_BIOLOGY_PARENT
FOUNDATIONS_OF_BIOLOGY :=
LIFE + BIOLOGICAL_ORGANISATION + CELLS + BIOMOLECULES
+ GENETIC_INFORMATION + METABOLISM + HOMEOSTASIS
+ GROWTH + DEVELOPMENT + REPRODUCTION
+ HEREDITY + VARIATION + EVOLUTION
+ STRUCTURE_FUNCTION + ENVIRONMENTAL_RESPONSE
+ BIOLOGICAL_INTERACTIONS + SCIENTIFIC_EVIDENCE
PURPOSE :=
DEFINE_LIVING_SYSTEM -> IDENTIFY_LEVEL_OF_ORGANISATION
-> IDENTIFY_CELLULAR_BASIS -> MAP_MOLECULAR_COMPONENTS
-> MAP_INFORMATION_STORAGE_AND_EXPRESSION
-> MAP_ENERGY_AND_MATTER_TRANSFORMATION
-> MAP_REGULATION_AND_HOMEOSTASIS
-> MAP_GROWTH_DEVELOPMENT_AND_REPRODUCTION
-> MAP_HEREDITY_AND_VARIATION
-> MAP_EVOLUTIONARY_CHANGE
-> RELATE_STRUCTURE_TO_FUNCTION
-> ASSESS_EVIDENCE -> PRESERVE_PROVENANCE
# CORE ENTITIES
ENTITY Life
ENTITY LivingSystem
ENTITY BiologicalEntity
ENTITY BiologicalOrganisation
ENTITY Biomolecule
ENTITY DNA
ENTITY RNA
ENTITY Protein
ENTITY Gene
ENTITY Genome
ENTITY Cell
ENTITY Organelle
ENTITY Tissue
ENTITY Organ
ENTITY OrganSystem
ENTITY Organism
ENTITY Population
ENTITY Species
ENTITY Ecosystem
ENTITY Metabolism
ENTITY Homeostasis
ENTITY Growth
ENTITY Development
ENTITY Reproduction
ENTITY Heredity
ENTITY Variation
ENTITY Mutation
ENTITY Trait
ENTITY Genotype
ENTITY Phenotype
ENTITY Evolution
ENTITY NaturalSelection
ENTITY Adaptation
ENTITY BiologicalStructure
ENTITY BiologicalFunction
ENTITY Environment
ENTITY Stimulus
ENTITY Response
ENTITY Evidence
ENTITY Experiment
ENTITY Observation
ENTITY Hypothesis
ENTITY ScientificModel
ENTITY Provenance
# CHARACTERISTICS / ORGANISATION / CELL THEORY
LIVING_SYSTEM_CHARACTERISTICS :=
CELLULAR_ORGANISATION + ENERGY_AND_MATTER_PROCESSING
+ HOMEOSTATIC_REGULATION + GROWTH_AND_DEVELOPMENT
+ RESPONSE_TO_ENVIRONMENT + REPRODUCTION
+ HEREDITARY_INFORMATION + EVOLUTIONARY_CAPACITY
LivingSystem -> exhibits -> LIVING_SYSTEM_CHARACTERISTICS
BIOLOGICAL_ORGANISATION :=
MOLECULE -> ORGANELLE -> CELL -> TISSUE
-> ORGAN -> ORGAN_SYSTEM -> ORGANISM
-> POPULATION -> COMMUNITY -> ECOSYSTEM -> BIOSPHERE
HigherOrganisationLevel -> composed_of -> LowerOrganisationLevel
EmergentProperty -> may_arise_from -> INTERACTIONS_AMONG_COMPONENTS
CELL_THEORY :=
LIVING_ORGANISMS_ARE_COMPOSED_OF_CELLS
+ CELL_IS_FUNDAMENTAL_UNIT_OF_LIFE
+ CELLS_ARISE_FROM_PRE_EXISTING_CELLS
Cell -> fundamental_unit_of -> LivingSystem
Organism -> composed_of -> Cell
CELL_TYPE := PROKARYOTIC | EUKARYOTIC
Cell ->
contains -> GENETIC_MATERIAL + CELLULAR_MACHINERY
+ BOUNDARY + METABOLIC_SYSTEM
STRUCTURE_FUNCTION_PRINCIPLE :=
STRUCTURE -> ENABLES_OR_CONSTRAINS -> FUNCTION
# BIOMOLECULES / GENETIC INFORMATION
BIOMOLECULE_TYPE :=
NUCLEIC_ACID | PROTEIN | CARBOHYDRATE
| LIPID | METABOLITE
DNA -> stores -> GENETIC_INFORMATION
RNA -> participates_in -> INFORMATION_TRANSFER_AND_FUNCTION
Protein -> performs -> STRUCTURAL_CATALYTIC_REGULATORY_FUNCTION
BIOLOGICAL_INFORMATION_FLOW :=
DNA -> TRANSCRIPTION -> RNA -> TRANSLATION -> PROTEIN
Gene -> represents -> HEREDITARY_INFORMATION_UNIT
Genome -> contains -> GENETIC_INFORMATION
GeneExpression ->
converts -> STORED_GENETIC_INFORMATION -> FUNCTIONAL_PRODUCT
GeneRegulation -> controls -> GENE_EXPRESSION
Genotype -> represents -> GENETIC_COMPOSITION
Phenotype -> represents -> OBSERVABLE_OR_MEASURABLE_TRAIT_STATE
Phenotype -> influenced_by -> Genotype + Environment + DEVELOPMENTAL_HISTORY
GENOTYPE_ENVIRONMENT_RELATION :=
GENOTYPE + ENVIRONMENT + INTERACTION -> PHENOTYPE
# METABOLISM / ENERGY / HOMEOSTASIS
Metabolism -> transforms -> MATTER + ENERGY
METABOLISM := CATABOLISM + ANABOLISM
MetabolicPathway -> contains -> ORDERED_BIOCHEMICAL_REACTIONS
Enzyme -> catalyses -> BIOCHEMICAL_REACTION
BIOLOGICAL_ENERGY_FLOW :=
ENERGY_SOURCE -> ENERGY_CAPTURE -> ENERGY_TRANSFORMATION
-> CELLULAR_WORK -> HEAT_AND_PRODUCTS
LivingSystem -> exchanges -> Matter -> with -> Environment
Homeostasis ->
maintains -> INTERNAL_VARIABLES -> within -> FUNCTIONAL_RANGE
HOMEOSTATIC_LOOP :=
VARIABLE -> SENSOR -> REGULATORY_SYSTEM
-> EFFECTOR -> RESPONSE -> VARIABLE
NEGATIVE_FEEDBACK -> opposes -> DEVIATION_FROM_SET_RANGE
POSITIVE_FEEDBACK -> amplifies -> PROCESS_UNTIL_TERMINATION_CONDITION
# GROWTH / DEVELOPMENT / REPRODUCTION / HEREDITY
Growth -> increases -> BIOLOGICAL_SIZE | CELL_NUMBER | BIOMASS
Growth -> requires -> MATERIAL + ENERGY + REGULATION
DEVELOPMENTAL_PROCESS :=
CELL_DIVISION | DIFFERENTIATION | MORPHOGENESIS | MATURATION
Development ->
regulated_by -> GENETIC_PROGRAMMES + CELL_SIGNALING + ENVIRONMENT
Reproduction -> produces -> OFFSPRING
REPRODUCTION_TYPE := ASEXUAL | SEXUAL
AsexualReproduction ->
derives_offspring_from -> SINGLE_PARENTAL_LINEAGE
SexualReproduction ->
combines -> GENETIC_MATERIAL_FROM_GAMETES
Heredity ->
transmits -> GENETIC_INFORMATION -> across -> GENERATIONS
Allele -> variant_of -> Gene
GeneticSegregation -> influences -> OFFSPRING_GENOTYPE
VARIATION_SOURCE :=
MUTATION | RECOMBINATION | GENE_FLOW
| DEVELOPMENT | ENVIRONMENT | STOCHASTIC_PROCESS
Mutation -> changes -> DNA_SEQUENCE
Variation -> may_be -> HERITABLE | NON_HERITABLE
# EVOLUTION / ENVIRONMENT / ECOLOGY
Evolution ->
represents -> HERITABLE_POPULATION_CHANGE_ACROSS_GENERATIONS
EVOLUTIONARY_MECHANISM :=
MUTATION | NATURAL_SELECTION | GENETIC_DRIFT
| GENE_FLOW | RECOMBINATION
NaturalSelection -> acts_on -> HERITABLE_VARIATION
Evolution -> occurs_in -> POPULATIONS
IF Trait affects_reproductive_success
AND Trait is_heritable
THEN TraitFrequency -> MAY_CHANGE_ACROSS_GENERATIONS
Adaptation ->
represents -> HERITABLE_TRAIT_ASSOCIATED_WITH_FITNESS_IN_CONTEXT
Adaptation -> arises_through -> EVOLUTIONARY_PROCESS
Adaptation -> does_not_imply -> PERFECTION
Organism -> interacts_with -> Environment
Environment ->
provides -> RESOURCES + CONDITIONS + STIMULI + HAZARDS
Stimulus -> detected_by -> BIOLOGICAL_SENSOR_OR_RECEPTOR
Response ->
changes -> BEHAVIOUR | PHYSIOLOGY | DEVELOPMENT | GENE_EXPRESSION
Ecosystem ->
contains -> BIOTIC_COMPONENTS + ABIOTIC_COMPONENTS
ECOLOGICAL_RELATION :=
COMPETITION | PREDATION | MUTUALISM
| PARASITISM | COMMENSALISM
# SCIENTIFIC FOUNDATIONS / EVIDENCE
Observation -> records -> BIOLOGICAL_PHENOMENON
Observation ->
has -> METHOD + CONTEXT + TIME + SAMPLE + UNCERTAINTY
Hypothesis ->
proposes -> TESTABLE_EXPLANATION_OR_PREDICTION
Experiment -> tests -> Hypothesis
EXPERIMENTAL_STRUCTURE :=
QUESTION -> HYPOTHESIS -> VARIABLES -> CONTROLS
-> MEASUREMENT -> ANALYSIS -> INTERPRETATION
ScientificModel ->
represents -> BIOLOGICAL_SYSTEM_OR_PROCESS
MODEL_TYPE :=
CONCEPTUAL | MATHEMATICAL | COMPUTATIONAL
| PHYSICAL | STATISTICAL
ScientificModel ->
supports -> EXPLANATION + PREDICTION + HYPOTHESIS_TESTING
Evidence -> supports_or_challenges -> BiologicalClaim
EVIDENCE_TYPE :=
OBSERVATIONAL | EXPERIMENTAL | GENETIC | MOLECULAR
| CELLULAR | PHYSIOLOGICAL | ECOLOGICAL
| EVOLUTIONARY | COMPUTATIONAL
Correlation ->
does_not_by_itself_establish -> CAUSATION
Reproducibility ->
supported_by -> METHODS + DATA + CONDITIONS + ANALYSIS + PROVENANCE
IF Evidence replicated_independently
THEN ClaimConfidence -> MAY_INCREASE
# UNCERTAINTY / PROVENANCE / REASONING
BIOLOGICAL_UNCERTAINTY :=
MEASUREMENT_UNCERTAINTY + SAMPLING_UNCERTAINTY
+ BIOLOGICAL_VARIABILITY + MODEL_UNCERTAINTY
Uncertainty ->
qualifies -> Measurement + Estimate + ModelPrediction + BiologicalClaim
Provenance ->
records -> SOURCE + SAMPLE_OR_ORGANISM
+ METHOD + MEASUREMENT + ANALYSIS
+ VERSION + TIME + CONTEXT
BiologicalClaim -> linked_to -> Provenance
FOUNDATIONS_OF_BIOLOGY_REASONING :=
IDENTIFY_BIOLOGICAL_ENTITY
-> CLASSIFY_ORGANISATION_LEVEL
-> DETERMINE_CELLULAR_BASIS
-> IDENTIFY_MOLECULAR_COMPONENTS
-> MAP_GENETIC_INFORMATION
-> MAP_STRUCTURE_TO_FUNCTION
-> MAP_METABOLIC_ENERGY_AND_MATTER_FLOW
-> MAP_HOMEOSTATIC_REGULATION
-> MAP_GROWTH_AND_DEVELOPMENT
-> MAP_REPRODUCTION_AND_HEREDITY
-> IDENTIFY_VARIATION
-> MAP_EVOLUTIONARY_MECHANISMS
-> MAP_ENVIRONMENTAL_INTERACTION
-> FORMULATE_TESTABLE_CLAIMS
-> ASSESS_EVIDENCE
-> QUANTIFY_UNCERTAINTY
-> PRESERVE_PROVENANCE
# INFERENCE RULES
IF DNASequence changes
THEN GeneFunctionOrRegulation -> MAY_CHANGE
IF GeneExpression changes
THEN CellularPhenotype -> MAY_CHANGE
IF MetabolicFlux changes
THEN CellularEnergyOrMaterialState -> MAY_CHANGE
IF HomeostaticControl fails
THEN InternalState -> MAY_MOVE_OUTSIDE_FUNCTIONAL_RANGE
IF HeritableVariation affects_reproductive_success
THEN PopulationTraitFrequency -> MAY_CHANGE
IF Environment changes
THEN PhenotypeAndFitness -> MAY_CHANGE
IF Evidence insufficient
THEN BiologicalClaimConfidence -> DECREASES
# SEMANTIC RELATIONSHIPS
RELATION composed_of(Organism, Cell)
RELATION contains(Cell, Biomolecule)
RELATION stores(DNA, GeneticInformation)
RELATION contains(Genome, Gene)
RELATION expresses(Gene, FunctionalProduct)
RELATION catalyses(Enzyme, BiochemicalReaction)
RELATION regulates(Homeostasis, InternalVariable)
RELATION produces(Reproduction, Offspring)
RELATION transmits(Heredity, GeneticInformation)
RELATION changes(Mutation, DNASequence)
RELATION acts_on(NaturalSelection, HeritableVariation)
RELATION influences(Environment, Phenotype)
RELATION enables(BiologicalStructure, BiologicalFunction)
RELATION tests(Experiment, Hypothesis)
RELATION represents(ScientificModel, BiologicalSystem)
RELATION supports(Evidence, BiologicalClaim)
RELATION records(Provenance, BiologicalClaim)
# SEMANTIC EQUIVALENCE
SEMANTIC_EQUIVALENCE:
"foundations of biology" ~= "fundamental principles of biology"
"cell theory" ~= "principle that cells are fundamental units of life"
"genetic information" ~= "heritable biological sequence information"
"gene expression" ~= "production of functional products from genetic information"
"metabolism" ~= "biochemical transformation of matter and energy"
"homeostasis" ~= "regulation of internal biological conditions"
"heredity" ~= "biological inheritance across generations"
"biological evolution" ~= "heritable population change across generations"
"natural selection" ~= "differential reproductive success associated with heritable variation"
"structure-function relationship" ~= "biological structure enabling or constraining function"
# CONFIDENCE
CONFIDENCE:
ontology_domain: 0.99
characteristics_of_life_mapping: 0.99
cellular_mapping: 0.99
molecular_genetic_mapping: 0.99
metabolism_homeostasis_mapping: 0.99
growth_development_mapping: 0.99
reproduction_heredity_mapping: 0.99
evolution_mapping: 0.99
scientific_evidence_mapping: 0.99
semantic_relationships: 0.99
# UPDATE MODEL
UPDATE_MODEL:
ON new_foundational_entity:
MAP organisation_level
MAP cellular_basis
MAP molecular_components
MAP structure
MAP function
UPDATE confidence
RECOMPUTE FLOW_HASH
ON new_genetic_evidence:
UPDATE gene_relationships
UPDATE genotype_phenotype_links
UPDATE heredity_state
PRESERVE provenance
ON new_evolutionary_evidence:
UPDATE variation_state
UPDATE selection_relationships
UPDATE evolutionary_claims
UPDATE confidence
ON new_experimental_evidence:
UPDATE hypothesis_support
UPDATE evidence_quality
UPDATE uncertainty
PRESERVE provenance
# AI CONSUMPTION
AI_CONSUMPTION:
parse_as: FORMAL_FOUNDATIONS_OF_BIOLOGY_PARENT
reasoning_mode: FOUNDATIONAL_BIOLOGICAL_RELATIONAL
preserve:
- typed_entities
- organisation_levels
- cellular_relationships
- molecular_relationships
- genetic_information
- metabolic_relationships
- homeostatic_relationships
- heredity
- evolutionary_relationships
- evidence
- uncertainty
- confidence
- provenance
infer:
- organisation_hierarchy
- structure_function_dependencies
- genotype_phenotype_dependencies
- metabolic_dependencies
- homeostatic_dependencies
- inheritance_dependencies
- evolutionary_change
- evidence_strength
prohibit:
- invented_biological_observations
- fabricated_genetic_relationships
- assumed_causality_from_correlation
- unsupported_evolutionary_claims
- unsupported_definition_of_life_claims
- missing_evidence_presented_as_established_fact
# FLOW HASH
FLOW_HASH_INPUT :=
DOMAIN + ONTOLOGY + CORE_ENTITIES
+ CHARACTERISTICS_ORGANISATION_CELL_THEORY
+ BIOMOLECULES_GENETIC_INFORMATION
+ METABOLISM_ENERGY_HOMEOSTASIS
+ GROWTH_DEVELOPMENT_REPRODUCTION_HEREDITY
+ EVOLUTION_ENVIRONMENT_ECOLOGY
+ SCIENTIFIC_FOUNDATIONS_EVIDENCE
+ UNCERTAINTY_PROVENANCE_REASONING
+ INFERENCE_RULES + SEMANTIC_RELATIONSHIPS
+ SEMANTIC_EQUIVALENCE + CONFIDENCE
+ UPDATE_MODEL + AI_CONSUMPTION
FLOW_HASH := HASH(FLOW_HASH_INPUT)
END FLOW