Thursday, August 27, 2026

The Adjustable Aperture: Algorithms as Mathematical Lenses on Information

The Adjustable Aperture: Algorithms as Mathematical Lenses on Information

John Swygert

August 27, 2026


Abstract

This paper develops the metaphor of the algorithm as an adjustable mathematical lens. A dataset can remain invariant while different transformations, coordinate systems, radices, objective functions, feature selections, and search procedures make different relationships easier or harder to discover. The idea emerged from a sequence of radix-fitness experiments in which stronger planet-specific claims attenuated under independent and metric-neutral tests, while a narrower observer-centered result survived: representation can affect discoverability for particular procedures without creating new information. The paper formalizes aperture as selective sensitivity and argues for multi-lens analysis with strict null controls to prevent pattern hunting.

1. Introduction

Algorithms are often described as recipes or procedures. That description is correct but incomplete. For discovery tasks, an algorithm can also be understood as a lens: it determines which relationships are emphasized, which are suppressed, and what counts as a detectable pattern.

The lens metaphor becomes especially useful when paired with an adjustable aperture. Analysts can alter resolution, feature weighting, representation, search depth, coordinate system, radix, tolerance, or objective function according to what they seek.

2. Information Does Not Change; Accessibility Can

An invertible transformation does not create new information. Yet it can radically alter the ease with which a particular procedure detects structure. Periodicity that is obscure in a time series can become obvious in a frequency representation. Multiplicative growth can become linear under a logarithm. A rational relationship can become short or terminating in one radix and repeating in another.

The distinction is between information content and information accessibility.

3. From Planetary Radix Tests to Observer-Centered Method

The motivating experiments initially asked whether planetary dynamics generated intrinsic preferred radix landscapes. Independent scoring and metric-neutral controls substantially weakened that strong interpretation. A later discovery-performance formulation produced a narrower result: changing radix could modestly alter recovery performance for some rational, resonant, or recurrence-like relationships while leaving robust spectral methods nearly unaffected.

The methodological lesson is more general than radix choice. The planet determines the relationships; the observer chooses the lens.

4. Defining Aperture

For an algorithmic lens, aperture denotes the set of structures to which the procedure is made sensitive. A narrow aperture may search only low-order rational relationships. A wider aperture may admit many candidate transformations but incur higher false-positive risk. Resolution corresponds to tolerance or granularity. Focus corresponds to the objective or relationship class.

This vocabulary makes algorithm design intuitive without changing its mathematics.

5. Search and Sort as Perspective Operations

Sorting is not neutral. Sorting by magnitude, frequency, correlation, spatial location, complexity, or recurrence produces different visible organizations of the same records. Search is similarly conditional: a query defines what can count as relevant.

An algorithm therefore operationalizes a question. Change the question and the same dataset becomes a different landscape of salience.

6. Multi-Lens Analysis

A disciplined exploratory system can intentionally examine a dataset through a preregistered portfolio of lenses: conventional physical coordinates, normalized ratios, frequency transforms, logarithmic transforms, alternative radix encodings, graph representations, and domain-specific invariants.

Candidate discoveries should then be returned to the original measurements and tested for predictive value. The transformation is a discovery aid, not evidence by itself.

7. The Multiple-Lens Hazard

Every additional lens increases the opportunity to find accidental structure. This is the algorithmic equivalent of trying enough filters until noise looks meaningful. The framework therefore requires matched nulls, held-out data, multiple-testing correction, and independent verification.

An adjustable aperture is useful only when the observer also records how far it was opened.

8. Human and Machine Lenses

Humans possess strong representational biases: familiar multiples, visual symmetry, linguistic categories, and learned notation. Algorithms possess different biases determined by architecture and objective. A representation that helps a human may not help a Fourier method; a digit-oriented procedure may respond strongly to radix while a representation-agnostic estimator does not.

The useful question is therefore never simply “Which representation is best?” It is “Best for which observer, algorithm, relationship, and task?”

9. Conclusion

An algorithm is usefully understood as a mathematical lens whose aperture can be adjusted to resolve different structures in invariant information. The metaphor is not merely pedagogical: it captures a real methodological fact about representation, inductive bias, search, and discoverability. The discipline lies in remembering that a clearer pattern through a lens is a candidate for investigation, not yet a fact about the world.

References

Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences, 36(3), 181–204.

Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience, 11, 127–138.

Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. W. H. Freeman.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–423, 623–656.

Carhart-Harris, R. L., et al. (2014). The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Frontiers in Human Neuroscience, 8, 20.

Premack, D., & Woodruff, G. (1978). Does the chimpanzee have a theory of mind? Behavioral and Brain Sciences, 1(4), 515–526.

Mercier, H., & Sperber, D. (2017). The Enigma of Reason. Harvard University Press.

Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. Science, 185(4157), 1124–1131.

Pearl, J., & Mackenzie, D. (2018). The Book of Why. Basic Books.


* Copyright © John Swygert 2026 | TSTOEAO.com | IvoryTowerJournal.com | SecretarySuite.com | TSTOEAO Room GPT | Ivory Tower Publishing

Morality Through Different Lenses: Empathy, Rules, Religion, and Prosocial Representation

Morality Through Different Lenses: Empathy, Rules, Religion, and Prosocial Representation

John Swygert

August 27, 2026


Abstract

Moral behavior can arise through different cognitive routes. Some people respond strongly to affective empathy; others reason through rules, consequences, reciprocity, identity, duty, or religious narrative. This paper proposes that moral systems can be understood partly as representational technologies: they make the interests of other people, delayed consequences, and social constraints cognitively visible. The argument does not claim that religion is necessary for morality, nor that low empathy has a single cause. It asks whether explicit teaching about distinct internal perspectives can provide an additional route to prosocial reasoning, including for people whose affective empathy is weak.

1. Introduction

People do not arrive at prosocial behavior through one universal psychological route. For some, another person’s distress is immediately motivating. Others rely more heavily on rules, reciprocity, reputation, long-term consequences, philosophical principles, or religious commitments.

The observer-centered framework suggests that these routes can be treated as different representations of a common social fact: multiple centers of experience coexist in one shared world.

2. Affective and Cognitive Routes

Feeling another person’s emotion and understanding another person’s perspective are not identical capacities. A person may understand that another observer has different beliefs, goals, and vulnerabilities without strongly sharing the associated feeling.

This distinction matters because moral education need not depend on a single emotional mechanism.

3. Religion as Representational Architecture

Religious traditions often encode morality in memorable forms: commandments, parables, exemplars, prohibitions, rituals, accountability, cosmic consequence, and community identity. Whatever one’s metaphysical commitments, these structures can function cognitively by making abstract social obligations concrete.

The broader principle is representational: moral relationships become easier to act upon when they are encoded in a form the individual can understand, remember, and value.

4. Secular Representations of the Same Constraint

The same social constraint can be represented through reciprocity, game theory, law, rights, consequentialism, virtue, contract, or systems thinking. One need not feel another person’s pain identically to recognize that normalizing exploitation creates a shared environment in which trust collapses and everyone bears costs.

5. Low Empathy and the Perspective Hypothesis

It would be unwarranted to claim that psychopathy or low empathy is caused simply by failure to understand perspective. A more testable hypothesis is narrower: explicit instruction that each observer inhabits a distinct internal model may improve cognitive perspective-taking or prosocial decision-making in some individuals, including some with weak affective empathy.

The proposed mechanism is not emotional conversion. It is model expansion.

6. The Aha-Moment Possibility

A person strongly centered on their own goals may nevertheless understand a systems argument: other people are not background objects in one’s private story. They are independent centers of experience whose actions feed back into the same social environment. Manipulation, coercion, and chronic antisocial behavior therefore alter the world the actor must continue to inhabit.

For some minds, consequences to the self may initially provide the entry point through which broader social consequences become intelligible.

7. Moral Pluralism Without Moral Relativism

Different representational routes can converge on similar behavioral constraints. This does not mean every moral proposition is equivalent. It means the route by which a person understands obligation may differ.

A plural architecture of moral education may therefore be more effective than assuming that one emotional or philosophical vocabulary will reach everyone.

8. Conclusion

Morality can be viewed partly as a problem of representation: how does a mind make the reality of other minds, delayed consequences, and shared-system effects sufficiently visible to guide action? Empathy is one powerful route, but not the only one. Religious, philosophical, consequential, and systems-based lenses may each make prosocial structure accessible to different observers.

References

Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences, 36(3), 181–204.

Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience, 11, 127–138.

Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. W. H. Freeman.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–423, 623–656.

Carhart-Harris, R. L., et al. (2014). The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Frontiers in Human Neuroscience, 8, 20.

Premack, D., & Woodruff, G. (1978). Does the chimpanzee have a theory of mind? Behavioral and Brain Sciences, 1(4), 515–526.

Mercier, H., & Sperber, D. (2017). The Enigma of Reason. Harvard University Press.

Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. Science, 185(4157), 1124–1131.

Pearl, J., & Mackenzie, D. (2018). The Book of Why. Basic Books.


* Copyright © John Swygert 2026 | TSTOEAO.com | IvoryTowerJournal.com | SecretarySuite.com | TSTOEAO Room GPT | Ivory Tower Publishing

The Altered Lens: DMT, Radical Changes in Internal Representation, and the Stability of the External World

The Altered Lens: DMT, Radical Changes in Internal Representation, and the Stability of the External World

John Swygert

August 27, 2026


Abstract

DMT experiences are often interpreted through metaphysical language involving portals, entities, alternate dimensions, or external realities. This paper proposes a more conservative use of DMT as an epistemological limiting case. A person’s experienced world can change with extraordinary speed and intensity while the immediate physical environment remains comparatively stable. This makes DMT useful for examining the distinction between external telemetry and internal construction. The paper does not claim that DMT proves or disproves metaphysical interpretations. Instead, it argues that extraordinary phenomenology is not by itself evidence of an extraordinary external cause. DMT may also function psychologically as a “reset” when a radical change in internal representation weakens previously rigid assumptions about self and world.

1. Introduction

Few experiences illustrate the plasticity of experienced reality as dramatically as powerful psychedelic states. DMT is especially striking because reports often describe rapid transitions into environments that feel structured, inhabited, meaningful, and radically unlike ordinary waking perception.

The philosophical temptation is to infer that an extraordinary experience requires an extraordinary external location. That inference is not necessary.

2. External Stability, Internal Transformation

The experimental fact of greatest relevance is simple: an observer can remain physically in approximately the same environment while undergoing a radical transformation in experienced space, time, identity, agency, imagery, and meaning.

This makes DMT a limiting case for the projection-within framework. It demonstrates how much of experienced reality depends on internal processing.

3. Telemetry and Decoding

Ordinary perception is already constructive. Altered states may change weighting, gating, prediction, association, salience, and integration. A brain operating under unusual conditions may interpret incoming signals through unfamiliar dynamics while also drawing heavily on memory, expectation, emotion, and endogenous imagery.

The resulting world can feel external because ordinary experience also feels external. Phenomenological vividness therefore cannot by itself distinguish an internally generated model from an externally sourced environment.

4. The Portal Claim and the Burden of Evidence

Nothing in this framework logically proves that unusual external realities are impossible. It instead assigns the burden of evidence correctly. If a claim concerns an external dimension, it requires evidence that exceeds the private experience itself—for example, independently recoverable information, reproducible cross-observer structure, or predictive consequences unavailable from ordinary explanations.

Without such evidence, internal construction remains the more conservative explanatory class.

5. The Reset Hypothesis

The psychologically important feature may be the temporary collapse of confidence in the ordinary self-model. A person who previously treated identity, priorities, fears, and narratives as fixed may discover that the experienced world can be reorganized dramatically.

This can create a powerful realization: “My model is not the whole of reality.” Such a realization may permit reevaluation of habits, relationships, self-importance, and assumptions. The transformation is world-changing from within even when the external world did not change first.

6. Breaking Free From the Self

Many forms of psychological constraint are maintained by recursive self-models: beliefs about who one is, what is possible, what others think, what must be defended, and what cannot change. A sufficiently disruptive experience can reveal these models as contingent rather than inevitable.

This does not guarantee benefit. Disruption can also confuse or destabilize. The important theoretical point is that flexibility in representation can alter the perceived space of possible action.

7. Research Implications

The framework suggests empirical questions rather than metaphysical conclusions. Do changes in self-model rigidity predict lasting changes in perspective-taking? Which features of an altered state correlate with durable cognitive flexibility? Can changes in internal representation be separated from expectancy and cultural interpretation? Do independent observers recover shared external information unavailable through ordinary channels?

These questions preserve the extraordinary phenomenology while subjecting causal claims to ordinary scientific standards.

8. Conclusion

DMT is philosophically profound even without assuming a portal. It exposes the extraordinary constructive capacity of consciousness. The immediate lesson is not that another universe has been demonstrated, but that the universe an observer experiences can be transformed from within. That distinction may be more consequential than the metaphysical claim it replaces.

References

Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences, 36(3), 181–204.

Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience, 11, 127–138.

Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. W. H. Freeman.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–423, 623–656.

Carhart-Harris, R. L., et al. (2014). The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Frontiers in Human Neuroscience, 8, 20.

Premack, D., & Woodruff, G. (1978). Does the chimpanzee have a theory of mind? Behavioral and Brain Sciences, 1(4), 515–526.

Mercier, H., & Sperber, D. (2017). The Enigma of Reason. Harvard University Press.

Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. Science, 185(4157), 1124–1131.

Pearl, J., & Mackenzie, D. (2018). The Book of Why. Basic Books.


* Copyright © John Swygert 2026 | TSTOEAO.com | IvoryTowerJournal.com | SecretarySuite.com | TSTOEAO Room GPT | Ivory Tower Publishing

Each Mind, Its Own World: Perspective, Empathy, and the Shared Reality Problem

Each Mind, Its Own World: Perspective, Empathy, and the Shared Reality Problem

John Swygert

August 27, 2026


Abstract

This paper examines the social consequences of distinguishing shared external reality from individually constructed internal representation. It argues that perspective differences can be treated as expected consequences of different information histories rather than immediate evidence of stupidity, malice, or bad faith. The framework supports intellectual humility and empathy without requiring factual relativism. Different experiences may be legitimate as experiences while incompatible claims about the shared world remain empirically adjudicable. The paper develops this distinction as a response to polarization, identity-protective reasoning, and the tendency to confuse one’s own model with reality itself.

1. Introduction

Social conflict is often intensified by an unnoticed assumption: if another person sees the same world differently, one of us must be defective or malicious. The observer-centered framework offers another starting point. Different observers receive different information, attend to different signals, possess different histories, and construct different internal models.

This does not make all beliefs equally true. It makes disagreement less mysterious.

2. Experiential Legitimacy Is Not Factual Equivalence

A crucial distinction is required. An experience can be authentic without the explanation attached to it being correct. Fear can be genuine even when the perceived threat is mistaken. Confidence can be genuine even when a proposition is false.

Thus the framework rejects two extremes: the claim that only one perspective deserves consideration, and the claim that every perspective is equally accurate. Respect for experience and testing of factual claims are compatible.

3. Perspective as an Information History

An internal world is partly the accumulated result of what an observer has encountered, remembered, ignored, trusted, feared, learned, and practiced. Media environments, families, professions, communities, languages, and personal experiences alter which patterns become salient.

When people communicate, they often exchange conclusions without exchanging the information histories that produced them. The result is predictable mutual incomprehension.

4. Polarization and Competing Projections

Political and cultural polarization can be intensified when a model becomes fused with identity. A challenge to a proposition is then experienced as a challenge to the self. Algorithms that repeatedly expose users to congruent material can further narrow the apparent world available to each observer.

The useful intervention is not to declare all sides correct. It is to restore the distinction between external event, received information, internal model, and communicated interpretation.

5. Empathy as Model Expansion

Empathy can be understood partly as the capacity to model another observer’s internal state without surrendering one’s own evidentiary standards. The question changes from “How could anyone think that?” to “What information, assumptions, incentives, memories, or fears would make that conclusion locally coherent?”

This shift can reduce contempt while improving diagnosis. Understanding a model is not endorsing it.

6. Intellectual Humility

If all human observers operate through limited models, then confidence should be proportional to evidence and model robustness. Intellectual humility is not indecision. It is recognition that one’s own representation can be incomplete.

A mature epistemic stance therefore combines conviction with revisability: act on the best available model while remaining willing to update it.

7. A Shared-Reality Ethic

The framework supports a simple social ethic: other observers inhabit internal worlds that are as experientially immediate to them as ours is to us. Because actions occur in a shared external world, harms and benefits propagate beyond the self. Respect becomes compatible with disagreement, and evidence becomes the common mechanism for resolving claims about shared conditions.

8. Conclusion

Perspective pluralism does not require truth pluralism. We can acknowledge radically different internal experiences while maintaining that external claims must survive evidence. This combination—empathy toward the observer, rigor toward the claim—may be one of the most useful consequences of understanding that each mind constructs a world within a world.

References

Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences, 36(3), 181–204.

Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience, 11, 127–138.

Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. W. H. Freeman.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–423, 623–656.

Carhart-Harris, R. L., et al. (2014). The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Frontiers in Human Neuroscience, 8, 20.

Premack, D., & Woodruff, G. (1978). Does the chimpanzee have a theory of mind? Behavioral and Brain Sciences, 1(4), 515–526.

Mercier, H., & Sperber, D. (2017). The Enigma of Reason. Harvard University Press.

Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. Science, 185(4157), 1124–1131.

Pearl, J., & Mackenzie, D. (2018). The Book of Why. Basic Books.


* Copyright © John Swygert 2026 | TSTOEAO.com | IvoryTowerJournal.com | SecretarySuite.com | TSTOEAO Room GPT | Ivory Tower Publishing

The Projection Is Within: Reality, Representation, Perspective, and the Constructed World of the Observer

The Projection Is Within: Reality, Representation, Perspective, and the Constructed World of the Observer

John Swygert

August 27, 2026


Abstract

This paper develops an observer-centered account of experienced reality that sharply distinguishes an external physical world from the internal model through which an observer encounters it. The proposed sequence is: physical reality → incoming information → filtering → representation → internal model → experienced reality → belief → communication. The argument does not require external reality to be unreal, simulated, or mind-dependent. Instead, it locates the immediately demonstrable “projection” inside the observer: sensory systems sample a limited environment, nervous systems transform those signals, and cognition constructs a usable model. This distinction explains how multiple observers can inhabit one shared world while experiencing meaningfully different internal worlds. It also provides a disciplined framework for discussing altered states, disagreement, scientific models, and representational choice without collapsing into relativism. The central methodological rule is simple: an internal representation can be experientially real without being an infallible description of external reality.

1. Introduction

Human beings ordinarily speak as though they encounter reality directly. Yet every practical act of perception depends on mediation: light reaches receptors, pressure moves tissue, molecules bind to sensory systems, neural activity is transformed, attention selects, memory supplies context, and cognition organizes the result. The world need not be illusory for experience to be constructed. The distinction is between the existence of an external world and the form in which that world becomes available to an observer.

The core proposal is therefore not “the universe is only a projection.” It is narrower: the observer’s experienced world is an internally constructed representation constrained by external reality. This formulation preserves realism while explaining perspective.

2. The Projection Sequence

The paper proposes a compact grammar:

physical reality → incoming information → filtering → representation → internal model → experienced reality → belief → communication → competing projections.

Each arrow is a transformation. Physical reality exceeds any observer’s sensory bandwidth. Incoming information is therefore partial. Filtering occurs through sensory limits, attention, physiological state, prior learning, language, expectation, and memory. Representation converts that selected information into usable internal form. The internal model is then experienced as the observer’s immediate world.

The sequence matters because errors can enter at several locations. A sensory signal may be incomplete; attention may omit a relevant feature; memory may distort context; language may force a false category; belief may overinterpret the model. The final communicated claim can therefore differ from the external condition even when the observer is sincere.

3. Shared World, Different Worlds

Two observers can occupy nearly the same physical location and still construct different experiences. They may attend to different features, possess different memories, interpret the same gesture differently, or assign different causal significance to the same event. The important distinction is that experiential plurality does not entail physical relativism.

A person's experience is real as an experience. Their interpretation of its cause can still be wrong. This preserves both empathy and evidence. We can respect the fact that another person’s internal world differs from ours while still testing claims about the shared external world.

4. Models Are Not the Territory

Scientific theories, maps, coordinate systems, languages, radices, diagrams, and algorithms are representations. Their usefulness comes from selective compression: they preserve relationships relevant to a purpose while discarding others. Confusion begins when a representation is mistaken for the thing represented.

This is not an argument against models. It is an argument for explicit model-awareness. A good observer asks both “What does this model reveal?” and “What has this model made difficult to see?” Perspective becomes a methodological variable rather than an invisible assumption.

5. Altered States as a Limiting Case

Altered states make the distinction unusually vivid. The external room can remain almost unchanged while the observer’s experienced environment changes radically. Such cases demonstrate that the experienced world depends not only on incoming telemetry but also on the machinery that filters and decodes it.

This does not establish that extraordinary experiences are false, nor does it establish portals to external dimensions. It establishes the more conservative point needed here: radical changes in internal representation can occur without corresponding radical changes in the immediately surrounding physical environment.

6. Consequences for Knowledge

The framework suggests a disciplined epistemology. Certainty about experience should not automatically become certainty about external cause. Likewise, disagreement should not automatically be interpreted as dishonesty or irrationality. Observers may be operating from different internal models generated from different information histories.

Knowledge improves when observers compare perspectives, expose transformations, preserve raw measurements, and test interpretations against shared evidence. The goal is not to eliminate perspective—an impossible task—but to understand and triangulate it.

7. Conclusion

The projection is within in the specific sense developed here: the observer constructs an experienced world from limited and transformed information. External reality remains the constraint, not the product, of that construction. This distinction provides a common grammar for perception, scientific representation, altered states, disagreement, and model choice. We share a world; we do not share an identical experience of that world. Recognizing both propositions at once is the foundation of the framework.

References

Clark, A. (2013). Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behavioral and Brain Sciences, 36(3), 181–204.

Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience, 11, 127–138.

Marr, D. (1982). Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. W. H. Freeman.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–423, 623–656.

Carhart-Harris, R. L., et al. (2014). The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Frontiers in Human Neuroscience, 8, 20.

Premack, D., & Woodruff, G. (1978). Does the chimpanzee have a theory of mind? Behavioral and Brain Sciences, 1(4), 515–526.

Mercier, H., & Sperber, D. (2017). The Enigma of Reason. Harvard University Press.

Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. Science, 185(4157), 1124–1131.

Pearl, J., & Mackenzie, D. (2018). The Book of Why. Basic Books.


* Copyright © John Swygert 2026 | TSTOEAO.com | IvoryTowerJournal.com | SecretarySuite.com | TSTOEAO Room GPT | Ivory Tower Publishing