Elsewhere
Blogroll
- A-Philosopher's Chair
- Autopoiesis
- Azimuth Blog
- Azimuth Forum
- Badass Teachers
- Big Education Ape
- Bob Walters
- Cameron Counts
- Cathy O'Neil
- Chorasimilarity
- Christopher Chase
- Coevolving Innovations
- Computational Complexity
- Computational Culture
- Cora Angier Sowa
- Cory Doctorow
- Crazy Crawfish
- Curmudgucation
- David Ellerman
- David Wood
- Devlin's Angle
- Diana Senechal
- Diane Ravitch
- Drew Flieder
- Error Statistics Philosophy
- Evolution Games
- Fred Klonsky
- Gödel's Lost Letter • New
- Gödel's Lost Letter • Old
- Gil Kalai
- Hidden Assumptions
- Hieroglyph Blog
- https://drewflieder.xyz/
- Humanities & Sciences
- Improbable Science
- In Theory
- Inquire Within
- Joel David Hamkins
- John F. Sowa
- John Pappas
- Judea Pearl • Causality
- Julien Clément
- Len Troncale • LifeWork
- Logic Matters
- London Institute∫Mathematical Sciences
- Lou Kauffman
- Luciano Floridi
- Lumber Room
- Marcus Jenal
- Mark Johnson
- Markability
- Mathematics & Computation
- Mathematics w\o Apologies
- Mercedes Schneider
- Michael O. Church
- Michael Weiss
- Michigan Populist
- Nicole Rust
- Nora Bateson
- Not Even Wrong
- Peirce Blog
- Peirce Reader
- Persiflage
- Philosophasters
- Poetry ∩ Math
- Poor Richard
- Pragmata
- Preposterous Universe
- Progressive Populist
- Punk Rock OR
- Quantum of Explanation
- Quomodocumque
- Renaissance Mathematicus
- Rice History Corner
- Richard Zach
- Robert Marty
- Scott Aaronson
- Shtetl-Optimized
- Social Fixer
- Tambo University
- Tanya Khovanova
- The Becoming Radical
- The Chalk Face
- The Cutting Edge
- The Progressive
- Theodora Goss
- Theorem Du Jour
- Thorbjørn Mann
- Tim Gowers
- Topos Institute
- Understanding Uncertainty
- Useful Stuff
- Wikispaces Blog
- Windows On Theory
-
-
Recent Posts
- Sign Relations • Examples
- Sign Relations • Signs and Inquiry
- Sign Relations • Definition
- Sign Relations • Anthesis
- Cactus Language • Semantics 8
- Cactus Language • Semantics 7
- Cactus Language • Semantics 6
- Cactus Language • Semantics 5
- Cactus Language • Semantics 4
- Cactus Language • Semantics 3
- Cactus Language • Semantics 2
- Cactus Language • Semantics 1
- Cactus Language • Mechanics 5
- Cactus Language • Mechanics 4
- Cactus Language • Mechanics 3
- Cactus Language • Mechanics 2
- Cactus Language • Discussion 3
- Cactus Language • Mechanics 1
- Charles Sanders Peirce, George Spencer Brown, and Me • 20
- Charles Sanders Peirce, George Spencer Brown, and Me • 19
- Charles Sanders Peirce, George Spencer Brown, and Me • 18
- Charles Sanders Peirce, George Spencer Brown, and Me • 17
- Cactus Language • Pragmatics 16
- Cactus Language • Pragmatics 15
- Cactus Language • Pragmatics 14
- Cactus Language • Pragmatics 13
- Cactus Language • Pragmatics 12
- Cactus Language • Pragmatics 11
- Cactus Language • Pragmatics 10
- Cactus Language • Pragmatics 9
- Cactus Language • Pragmatics 8
- Cactus Language • Pragmatics 7
- Cactus Language • Pragmatics 6
- Cactus Language • Pragmatics 5
- Cactus Language • Pragmatics 4
- Cactus Language • Pragmatics 3
- Cactus Language • Pragmatics 2
- Cactus Language • Pragmatics 1
- Cactus Language • Stylistics 6
- Cactus Language • Stylistics 5
- Cactus Language • Stylistics 4
- Cactus Language • Stylistics 3
- Cactus Language • Stylistics 2
- Cactus Language • Stylistics 1
- Generalities About Formal Grammars • 3
- Generalities About Formal Grammars • 2
- Generalities About Formal Grammars • 1
- Cactus Language • Syntax 12
- Cactus Language • Syntax 11
- Cactus Language • Syntax 10
Recent Comments
Archives
- December 2025 (4)
- November 2025 (1)
- October 2025 (8)
- September 2025 (8)
- August 2025 (11)
- July 2025 (14)
- June 2025 (12)
- May 2025 (22)
- April 2025 (8)
- March 2025 (11)
- February 2025 (10)
- January 2025 (10)
- December 2024 (35)
- November 2024 (20)
- October 2024 (16)
- September 2024 (24)
- August 2024 (10)
- July 2024 (15)
- June 2024 (18)
- May 2024 (26)
- April 2024 (24)
- March 2024 (18)
- February 2024 (25)
- January 2024 (12)
- December 2023 (24)
- November 2023 (18)
- October 2023 (18)
- September 2023 (10)
- August 2023 (9)
- July 2023 (17)
- June 2023 (18)
- May 2023 (8)
- April 2023 (14)
- March 2023 (3)
- February 2023 (1)
- January 2023 (8)
- December 2022 (2)
- November 2022 (8)
- October 2022 (4)
- September 2022 (10)
- August 2022 (14)
- July 2022 (18)
- June 2022 (14)
- May 2022 (12)
- April 2022 (13)
- March 2022 (1)
- February 2022 (2)
- January 2022 (2)
- December 2021 (4)
- November 2021 (15)
- October 2021 (20)
- September 2021 (18)
- August 2021 (22)
- July 2021 (28)
- June 2021 (18)
- May 2021 (17)
- April 2021 (13)
- March 2021 (14)
- February 2021 (12)
- January 2021 (12)
- December 2020 (10)
- November 2020 (12)
- October 2020 (8)
- September 2020 (10)
- August 2020 (14)
- July 2020 (10)
- June 2020 (20)
- May 2020 (15)
- April 2020 (11)
- March 2020 (16)
- February 2020 (7)
- January 2020 (6)
- December 2019 (12)
- November 2019 (18)
- October 2019 (21)
- September 2019 (10)
- August 2019 (5)
- July 2019 (12)
- June 2019 (1)
- May 2019 (6)
- April 2019 (3)
- March 2019 (3)
- February 2019 (14)
- January 2019 (13)
- December 2018 (12)
- November 2018 (1)
- October 2018 (6)
- September 2018 (9)
- August 2018 (8)
- July 2018 (3)
- June 2018 (14)
- May 2018 (8)
- April 2018 (6)
- March 2018 (6)
- February 2018 (9)
- January 2018 (11)
- December 2017 (4)
- November 2017 (12)
- October 2017 (4)
- September 2017 (6)
- August 2017 (10)
- July 2017 (9)
- June 2017 (14)
- May 2017 (8)
- April 2017 (18)
- March 2017 (14)
- February 2017 (3)
- January 2017 (1)
- December 2016 (2)
- November 2016 (11)
- October 2016 (1)
- September 2016 (2)
- August 2016 (2)
- July 2016 (1)
- June 2016 (2)
- May 2016 (15)
- April 2016 (14)
- March 2016 (22)
- February 2016 (12)
- January 2016 (3)
- December 2015 (7)
- November 2015 (2)
- October 2015 (9)
- September 2015 (24)
- August 2015 (9)
- July 2015 (9)
- June 2015 (6)
- May 2015 (15)
- April 2015 (5)
- March 2015 (7)
- February 2015 (14)
- January 2015 (7)
- December 2014 (2)
- November 2014 (6)
- October 2014 (12)
- September 2014 (8)
- August 2014 (7)
- July 2014 (3)
- June 2014 (12)
- May 2014 (16)
- April 2014 (12)
- March 2014 (8)
- February 2014 (17)
- January 2014 (12)
- December 2013 (10)
- November 2013 (12)
- October 2013 (5)
- September 2013 (2)
- August 2013 (5)
- July 2013 (1)
- June 2013 (5)
- May 2013 (9)
- April 2013 (9)
- March 2013 (7)
- February 2013 (8)
- January 2013 (10)
- December 2012 (14)
- November 2012 (5)
- October 2012 (14)
- September 2012 (5)
- August 2012 (8)
- July 2012 (3)
- June 2012 (14)
- May 2012 (9)
- April 2012 (4)
- March 2012 (4)
- February 2012 (4)
- January 2012 (1)
- December 2011 (2)
- October 2008 (2)
- September 2008 (1)
- August 2008 (2)
- July 2008 (4)
- December 2005 (1)
Blog Stats
- 1,690,792 hits
Categories
- Abduction
- Abraham Lincoln
- Abstraction
- Absurdity
- Accountability
- Ackermann
- Acronym
- Action
- Adaptability
- Adaptive Systems
- Aesthetics
- Albert Camus
- Algebra
- Algebra of Logic
- Algorithms
- Amphecks
- Analogy
- Analytic Geometry
- Anamnesis
- Animata
- Annual Report
- Anthem
- Anthematics
- Appearance
- Arete
- Argument
- Aristotle
- Arithmetic
- Arithmetization
- Artem Kaznatcheev
- Article
- Artificial Intelligence
- Artistic Differences
- Ashby
- Assertion
- Assessment
- Authority
- Automata
- Automated Research Tools
- Automatic Theorem Proving
- Automation
- Balance
- Beauty
- Belief
- Belief Fixation
- Belief Systems
- Bertrand Russell
- Biological Systems
- Boole
- Boolean Algebra
- Boolean Difference Calculus
- Boolean Functions
- C.P. Snow
- C.S. Peirce
- Cactus Graphs
- Cardinality
- Carnap
- Cartesian Coordinate System
- Cartesian Philosophy
- Cartesian Product
- Catalan Numbers
- Category Theory
- Cathy O'Neil
- Causality
- Certainty
- Chance
- Change
- Character
- Characteristic Functions
- Chemistry
- Chomsky
- Classification
- Cognition
- Cognitive Science
- Coherence
- Coherentism
- Combinator Calculus
- Combinatorics
- Combinatory Logic
- Comments Elsewhere
- Commerce
- Communication
- Community
- Community of Inquiry
- Community of Interpretation
- Complementarity
- Complexity
- Compositionality
- Comprehension
- Computability
- Computation
- Computational Complexity
- Computer Programming
- Computer Science
- Computing
- Concept Formation
- Conceptual Barriers
- Conceptual Graphs
- Conceptual Integration
- Concordance
- Congruence
- Conjecture
- Connotation
- Consciousness
- Consensus
- Constraint
- Constraint Satisfaction Problems
- Construct Validity
- Contingency
- Continua
- Continuity
- Control
- Control Systems
- Control Theory
- Convergence
- Correspondence
- Cosmogony
- Critical Thinking
- Curry–Howard Isomorphism
- Cybernetics
- Data Structures
- Deborah G. Mayo
- Deduction
- Definition
- Deja Vu
- Democracy
- Denotation
- Descartes
- Descriptive Science
- Determination
- Determinism
- Dewey
- Diagrammatic Reasoning
- Diagrams
- Dialogue
- Differential Analytic Turing Automata
- Differential Calculus
- Differential Geometry
- Differential Logic
- Differential Propositions
- Dimensionality
- Discovery
- Discrete Dynamical Systems
- Discrete Dynamics
- Discrete Mathematics
- Discreteness
- Discretion
- Dispersion
- Diversity
- Doctrine of Individuals
- Doubt
- Drama
- Dualism
- Duality
- Duns Scotus
- Dyadic Relations
- Dyadicism
- Dynamical Systems
- Dynamics
- Economics
- Education
- Educational Systems Design
- Educational Technology
- Effective Description
- Ego
- Eleatic Stranger
- Enthymeme
- Entropy
- Epimenides
- Epistemology
- Equational Inference
- Error
- Error-Controlled Regulation
- Essentialism
- Eternal Return
- Eternity
- Ethics
- Euclid
- Euler
- Evil
- Evolution
- Existence
- Existential Choice
- Existentialism
- Expectation
- Experience
- Extension
- Fallibility
- Falsity
- Feedback
- Finite Means
- Finitude
- Fitness Landscapes
- Fixation of Belief
- Forest Primeval
- Form
- Formal Grammars
- Formal Language Theory
- Formal Languages
- Formal Systems
- Foundations of Mathematics
- Fourier Transforms
- Frankl Conjecture
- Frederik Stjernfelt
- Free Will
- Freedom
- Freud
- Functional Logic
- Fuzzy Logic
- Fuzzy Sets
- Gödel
- Gödel Numbers
- Generality
- Genericity
- Geometry
- Gettysburg Address
- Governance
- Grabitational Singularity
- Gradient Descent
- Grammar
- Graph Theory
- Group Theory
- Guest Post
- H.W. Gould
- Haecceity
- Harmonic Analysis
- Heap Problem
- Heraclitus
- Hermeneutics
- Higher Order Propositions
- Higher Order Sign Relations
- Hilbert
- Hill Climbing
- History of Mathematics
- History of Science
- Hologrammautomaton
- Homunculi
- Homunculomorphisms
- Humor
- Hypostatic Abstraction
- Hypothesis
- Hypothesis Formation
- Icon Index Symbol
- Iconicity
- Identity
- Ignorance
- Illusion
- Imagination
- In Memoriam
- Incommensurability
- Indication
- Indicator Functions
- Individuality
- Individuals
- Induction
- Inference
- Infinite Use
- Infinitesimals
- Infinity
- Information
- Information & Control
- Information = Comprehension × Extension
- Information Fusion
- Information Resistance
- Information Theory
- Inhibition
- Initiative
- Innate Idea
- Innate Ideas
- Inquiry
- Inquiry Driven Systems
- Inquiry Into Inquiry
- Inquiry Support Technology
- Inscription
- Instruction
- Integer Sequences
- Intelligent Systems
- Intelligent Systems Engineering
- Intelliscope
- Intension
- Intention
- Intentional Contexts
- Intentional Objects
- Intentionality
- Intentions
- Internal Models
- Interoperability
- Interpretation
- Interpretive Duality
- Interpretive Frameworks
- Intuition
- Invention
- Irving Anellis
- John Dewey
- John Venn
- Justice
- Kaina Stoicheia
- Kant
- Knowledge
- Knowledge Bases
- Knowledge Representation
- Lambda Calculus
- Lambda Point
- Law
- Law of Nature
- Laws of Form
- Learning
- Learning
- Learning Organizations
- Learning Society
- Learning Systems
- Learning Theory
- Leibniz
- Lewis Carroll
- Liar Paradox
- Likelihood
- Likely Story
- Likeness
- Limitation
- Linguistics
- Locke
- Logic
- Logic of Relatives
- Logic of Science
- Logical Atoms
- Logical Graphs
- Logical Influence
- Logical Matrices
- Logical Reflexion
- Lotfi Zadeh
- Lou Kauffman
- Machine Learning
- Madeleine
- Maieusis
- Manifolds
- Mantra
- Martin Gardner
- Mathematical Demonstration
- Mathematical Intuition
- Mathematical Logic
- Mathematical Models
- Mathematical Reasoning
- Mathematical Traps
- Mathematics
- Matrix Theory
- Matter
- Max Weber
- Maxim
- Maze
- Meaning
- Measurement
- Mechanization
- Meditation
- Medium = Message
- Memo
- Memoir
- Memorandum
- Memorial Day
- Memory
- Meno
- Mental Models
- Metabasis
- Metaphor
- Metaphysics
- Method
- Michael Harris
- Minimal Negation Operators
- Modality
- Model Theory
- Modus Ponens
- Molière
- Monadology
- Moneytheism
- Morpheus
- Morphism
- Mortality
- Motion
- Music
- Myth
- Mythematics
- Natural Intelligence
- Natural Law
- Neil Sloane
- Networks
- Neural Models
- Nietzsche
- Nominalism
- Normative Science
- Nostalgebra
- Nostalgia
- Number Theory
- Objective Frameworks
- Objectivism
- Objects Objectives Objectivity
- Observation
- Ockham
- Ockham's Razor
- Oedipus
- Ontology
- Open Access Research
- Operations Research
- Optimal Control
- Optimization
- Oracles
- Painted Cacti
- Paradigmata
- Paradigms
- Paradox
- Parmenides
- Passion
- Pattern Recognition
- Péter Frankl
- Pedagogy
- Peirce
- Peirce List
- Peirce's Categories
- Peirce's Law
- Perception
- Peter Woit
- Phenomenology
- Philosophy
- Philosophy of Mathematics
- Philosophy of Mind
- Philosophy of Notation
- Philosophy of Science
- Photo
- Phrenology
- Physics
- Pigeonhole Principle
- Pivotal Variables
- Planck
- Planted Plane Trees
- Plato
- Plausibility
- Poem
- Poetry
- Politics
- Praeclarum Theorema
- Pragmata
- Pragmatic Cosmos
- Pragmatic Information
- Pragmatic Maxim
- Pragmatic Semiotic Information
- Pragmatics
- Pragmatism
- Preëstablished Harmony
- Predicate Calculus
- Prigogine
- Probability
- Probable Reasoning
- Problem Solving
- Process
- Process Thinking
- Programming
- Programming Languages
- Proof Theory
- Propositional Calculus
- Propositional Equation Reasoning Systems
- Propositional Logic
- Propositions
- Propositions As Types Analogy
- Proust
- Psychology
- Psychons
- Purpose
- Pythagoras
- Quanta
- Quantifiers
- Quantum Computing
- Quantum Mechanics
- Question
- Quotation
- Réseau
- Realism
- Reality
- Reasoning
- Reciprocity
- Recollection
- Recursion
- Redirect
- Reductionism
- References
- Reflection
- Reflective Interpretive Frameworks
- Regulation
- Reification
- Relation Theory
- Relational Algebra
- Relational Programming
- Relative Computability
- Relative Membership
- Relativity
- Relevance
- Repetition
- Representation
- Reproducibility
- Research Technology
- Resistance
- Resource
- Retroduction
- Reverie
- Revolt
- Rheme
- Rhetoric
- Rhythm
- Richard Kilvington
- Riemann
- Riffs and Rotes
- Rousseau
- Routinization
- Saunders Mac Lane
- Scholarship of Integration
- Science
- Scientific Attitude
- Scientific Inquiry
- Scientific Method
- Second Intentions
- Selfhood
- Semantics
- Semeiosis
- Semeiotic
- Semiosis
- Semiositis
- Semiotic Equivalence Relations
- Semiotic Information
- Semiotics
- Set Theory
- Shakespeare
- Sign Relational Manifolds
- Sign Relations
- Singularity
- Sisyphus
- Skiourosemiosis
- Social Compact
- Social Media
- Social Networks
- Society
- Sociology
- Socrates
- Sophismata
- Sophist
- Sorites
- Sources
- Spencer Brown
- Statistical Inference
- Statistics
- Structure
- Summum Bonum
- Surveys
- Survival
- Susan Awbrey
- Sustainability
- Syllogism
- Symbolism
- Symmetry
- Synechism
- Syntax
- Systems
- Systems of Interpretation
- Systems Theory
- Tabula Rasa
- Teaching
- Teaching
- Tenacity
- Teridentity
- Tertium Quid
- Testing
- The Big Picture
- Theatre
- Theodicy
- Theodore Parker
- Theorem Proving
- Theory
- Theory of Limits
- Thirdness
- Thomas Kuhn
- Thony Christie
- Timaeus
- Time
- Tolkien
- Tone Token Type
- Topology
- Translation
- Triadic Relation Irreducibility
- Triadic Relations
- Triadicity
- Truth
- Truth Tables
- Truth Theory
- Turing Machines
- Turing Test
- Two Cultures
- Type Theory
- Uncategorized
- Uncertainty
- Unity
- Universal Harmony
- Universals
- Use
- Use and Mention
- Utility
- Valor
- Valour
- Variety
- Venn Diagrams
- Verse
- Video
- Virtue
- Visualization
- Volition
- W. Ross Ashby
- Warren S. McCulloch
- Wilhelm von Humboldt
- William James
- Year In Review
- Zeno
- Zeroth Law Of Semiotics
- Zeroth Order Logic
- Amphecks Animata Boolean Algebra Boolean Functions C.S. Peirce Cactus Graphs Category Theory Cybernetics Deduction Differential Logic Equational Inference Graph Theory Inquiry Inquiry Driven Systems Laws of Form Logic Logical Graphs Logic of Relatives Mathematics Minimal Negation Operators Painted Cacti Peirce Pragmatism Propositional Calculus Relation Theory Semiotics Sign Relations Spencer Brown Triadic Relations Visualization
Logic, Mathematics, Philosophy
Inquiry Driven Systems
Cybernetics
Differential Logic
Logical Graphs
Minimal Negation Operators
Peirce Matters
Relation Theory
Riffs & Rotes
Semeiotics
Theme One
Current Events
Fawkes News
Meta
Daily Archives: April 16, 2025
Cactus Language • Preliminaries 6
The definitions of the syntactic connectives can be made a little more succinct by defining the following pair of generic operators on strings. Concatenation The concatenation of the sequence of strings is defined recursively as follows. Surcatenation The surcatenation of … Continue reading
Posted in Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Equational Inference, Formal Grammars, Formal Languages, Graph Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Propositional Calculus, Visualization
Tagged Automata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Differential Logic, Equational Inference, Formal Grammars, Formal Languages, Graph Theory, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Propositional Calculus, Visualization
4 Comments
Inquiry Into Inquiry 