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Bayesian Reasoning

Writer: Deric Hollings
Deric Hollings
7 hours ago
15 min read

 

Logic and Reason

 

I view many events through the proverbial lens of Rational Emotive Behavior Therapy (REBT), as I’ll provide a psychoeducational lesson that involves thinking and believing which is rational (in accordance with both logic and reason), or not (i.e., irrational), as it regards REBT herein.

 

Here, “logic” is the interrelation or sequence of facts or events when seen as inevitable or predictable, and “reason” is a statement offered in explanation or justification. For instance, a modus ponens syllogism uses the following logical form: If p, then q; p; therefore, q.

 

Before I provide an example, it may be useful to know that one source states, “A theory is, in general, any hypothesis or set of ideas about something, formed in any number of ways through any sort of reasoning for any sort of reason.” Colloquially, a “theory” alludes to a mere belief.

 

If every theory in which I believe possibly could be true or real (p), then every theory in which I believe empirically must be true or real (q). Every theory in which I believe possibly could be true or real (p). Therefore, every theory in which I believe empirically must be true or real (q).

 

This proposition follows logical form; yet I argue that it isn’t reasonable, because what could be isn’t necessarily what is. Thus, I consider this syllogistic belief as that relating to irrationality. Nevertheless, I have little doubt that at least one person on this planet disagrees with my outlook.

 

Noteworthy, my worldview is subjective (characteristic of or belonging to reality as perceived rather than as independent of mind). Thus, not everyone agrees with what everybody else deems as rational or not. Irrespective of advocacy for equality, not everyone maintains the same views.

 

For clarity, the American Psychological Association (APA) defines subjective as “taking place or existing only within the mind,” and defines objective as “having verifiable existence in the external world, independently of any opinion or judgment.”

 

Also, a rational perspective for one person may not be considered rational by members of a group. For example, people dedicating themselves to the practice of science may fervently disagree with referring to a mere belief as a “theory.” I agree! Yet, this is my subjective view.

 

Bayesian Reasoning

 

In a blogpost entitled Bayesian Inference, I discussed the matter of inference, which the APA defines as “a conclusion deduced from an earlier premise or premises according to valid rules of inference, or the process of drawing such a conclusion.” I address inferences when using REBT.

 

Still, the aforementioned post was specifically related to a type of inference based on the work of the 18th century English statistician, philosopher and Presbyterian minister Thomas Bayes. In particular, Bayesian inference aligns with Bayes’ theorem. Now, consider that one source states:

 

Bayesian reasoning is an application of probability theory to inductive reasoning (and abductive reasoning). It relies on an interpretation of probabilities as expressions of an agent’s uncertainty about the world, rather than as concerning some notion of objective chance in the world. The perspective here is that, when done correctly, inductive reasoning is simply a generalisation of deductive reasoning, where knowledge of the truth or falsity of a proposition corresponds to adopting the extreme probabilities 1 and 0.

 

Several advantages to this interpretation have been proposed. For one thing, it is possible to have (rational) degrees of belief about a wide range of propositions, including matters which are settled, yet unknown. For example, it is possible to speak of the probability of the value of a constant of nature falling within a given interval on the basis of various pieces of evidence, or of the outcome of a coin that has already been tossed. This interpretation of probability beyond limiting frequencies leads, so advocates such as Edwin Jaynes claim, to a more integrated treatment of probability theory and statistics.

 

If you’re interested in having Bayesian reasoning explained to you like you’re a five-year-old, then you’re invited to check out this source: Bayesian Reasoning - Explained Like You’re Five. Now, you’re encouraged to consider a practical example of Bayesian reasoning from one source:

 

Suppose you start feeling unwell and develop a cough. You might first think that there’s a small chance it’s a serious illness. However, if you learn there’s been an outbreak of a specific virus in your area, you might revise your belief and think it’s more likely you’ve caught this serious illness. This is Bayesian reasoning: updating the probability of an event based on new evidence.

 

When practicing care for mental, emotional, and behavioral health (collectively “mental health”) in my personal and professional capacities, using the REBT technique known as the ABC model, I use Bayesian reasoning. Now, I’ll provide a psychoeducational lesson on use of this tool.

 

The ABC Model and Building 7

 

REBT uses the ABC model to illustrate that when an undesirable Action occurs and you Believe an unhelpful narrative about the event, it’s your unfavorable assumption, not the occurrence itself, that causes an unpleasant Consequence. This is known as distress or disturbance.

 

In particular, there are four predominate irrational beliefs which people often use to distress or disturb themselves: global evaluations, low frustration tolerance, awfulizing, and demandingness. When contemplating these unproductive scripts, think of the acronym GLAD.

 

Additionally, from a psychological standpoint, people distress or disturb themselves using a Belief-Consequence (B-C) connection. Of course, this isn’t to suggest that in the context of the naturalistic or physical world there is no Action-Consequence (A-C) connection.

 

Addressing how people upset themselves with unhelpful attitudes, the ABC model incorporates Disputation of unproductive philosophies of life in order to explore Effective new beliefs. Whereas rigid beliefs cause self-disturbance, flexible beliefs result in an un-disturbed condition.

 

For the ABC model example I’m using herein, I’ll evoke a blog entry that I posted on September 11, 2023, entitled What Would it Take to Change Your Mind? Specifically, I stated:

 

When using [REBT], I assist clients with the Disputation of irrational beliefs which cause unpleasant emotional, sensory, and behavioral Consequences. This isn’t a comfortable process and it has its limits.

 

One limiting factor is an individual’s willingness to consider alternative beliefs. Here, I’m not discussing one’s ability to do so, though the act of a person considering new evidence and applying personal choice to change one’s mind.

 

Rather than addressing some imprecise concept, it may be useful to provide a concrete example to illustrate my point. For this blogpost, I’ll discuss the original 7 World Trade Center which was a 47-story tall building that was destroyed in the September 11 attacks in 2001.

 

Colloquially known as “Building 7,” the structure fell into its own footprint on September 11, 2001 (9/11), which is a subject of controversy for many people. Speculation about what actually occurred has been attributed to “conspiracy theory.”

 

Generally speaking, people express doubt about how a burning building could fall in a controlled demolition-style manner without other factors facilitating the collapse (i.e., explosives).

 

From an A-C view, using the official 9/11 narrative, no significant outside source (e.g., airplane, tower fragments, etc.) struck Building 7, though the structure apparently caved in on itself (Action), as the catastrophic demolition of the entire structure resulted (Consequence).

 

Without a comprehensible explanation for the Building 7 collapse (Action), people X Believe, “The United States (U.S.) government is worthless [G], as its incompetence cannot be abided [L], because 9/11 was horrific [A], and we absolutely must receive truth about Building 7 [D]!”

 

With this unaccommodating GLAD Belief, people X then experience negative, but unhealthy anger and aggression (Consequence). This is an altogether different experience than negative, though healthy anger and aggression. Now, it’s worth noting that one source states (page 71):

 

REBT conceptualizes [distress] as healthy even though it is intense. Other approaches to therapy have as their goal the reduction of the intensity of negative emotions. They take this position because they do not keenly differentiate between healthy negative emotions (distress) and unhealthy negative emotions (disturbance).

 

Now, REBT keenly distinguishes between healthy distress and unhealthy disturbance. Healthy distress stems from your rational beliefs about a negative activating event [Action], whilst disturbance stems from your irrational beliefs about the same event.

 

Complete elimination of distress is highly unlikely in an impermanent and uncertain world wherein people conceptually suffer, struggle, and battle with, or merely experience hardship. Still, individuals often make matters worse for themselves by disturbing about such instances.

 

Negative, though healthy anger and aggression (i.e., distress) stem from rational Beliefs about the lies surrounding Building 7 (and other 9/11 mistruths), though negative, but unhealthy anger and aggression (i.e., disturbance) stem from irrational Beliefs about the same event.

 

An example of the former Consequence would be if people X were angered as a direct result of their Beliefs about U.S. government lies, and these individuals aggressively contacted their elected representatives for legal remedies. This is a healthy outcome, even if possibly ineffective.

 

An example of the latter Consequence would be if people X were angered as a direct result of their Beliefs about U.S. government lies, as these individuals aggressively rioted during a protest regarding 9/11 and about ineffective attempts for redress. This is an unhealthy conclusion.

 

Concerning either unpleasant Consequence, the undesirable Action didn’t change. Yet, regarding both results, either rational or irrational Beliefs caused the Consequences. For years, I self-distressed and self-disturbed with Beliefs about 9/11, specifically relating to Building 7.

 

Yet, using Bayesian reasoning as a matter of Disputation for both rational and irrational Beliefs, I eventually attained success with my interest and goal not to have any negative emotions about the event, achieving indifference, as I concluded in What Would it Take to Change Your Mind?:

 

I changed my mind by acknowledging truth—I simply don’t have control over most matters in life and with the little time I have left on this Earth, I don’t care enough to bother myself with beliefs about the events of 9/11. With that, I moved from unverifiable claims to an agnostic perspective.

 

Now, I ask the reader, what would it take to change your mind—about anything? Do you need the complexity of a complicated formula such as Bayes’ theorem?

 

Alternatively, does a shorter path to unconditional acceptance appeal to you? If neither of these methods is acceptable, how do you go about changing your mind?

 

I’ve intentionally refrained from demonstrating precisely how I apply Bayesian reasoning herein. Besides, this blogpost is long enough as is. Therefore, if you’d like to see exactly how I use this tool, then I invite you to take a look at any of the entries within my Disputation blog category.

 

If you’re looking for a provider who tries to work to help understand how thinking impacts physical, mental, emotional, and behavioral elements of your life—helping you to sharpen your critical thinking skills, I invite you to reach out today by using the contact widget on my website.

 

As a psychotherapist, I’m pleased to try to help people with an assortment of issues ranging from anger (hostility, rage, and aggression) to relational issues, adjustment matters, trauma experience, justice involvement, attention-deficit hyperactivity disorder, anxiety and depression, and other mood or personality-related matters.

 

At Hollings Therapy, LLC, serving all of Texas, I aim to treat clients with dignity and respect while offering a multi-lensed approach to the practice of psychotherapy and life coaching. My mission includes: Prioritizing the cognitive and emotive needs of clients, an overall reduction in client suffering, and supporting sustainable growth for the clients I serve. Rather than simply trying to help you to feel better, I want to try to help you get better!

 

 

Deric Hollings, LPC, LCSW


Photo credit, Designed by Magnific, fair use

 

References:

 

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Hollings, D. (2025, December 31). Sanctum: A focus on irrationality. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/sanctum-a-focus-on-irrationality

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Hollings, D. (2022, December 25). The B-C connection. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-b-c-connection

Hollings, D. (2026, April 12). The Cartesian crisis: What do I control? What do I influence? Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/ the-cartesian-crisis-what-do-i-control-what-do-i-influence

Hollings, D. (2025, October 22). The construct. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-construct

Hollings, D. (2022, November 2). The critical A. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-critical-a

Hollings, D. (2022, December 14). The is-ought problem. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-is-ought-problem

Hollings, D. (2023, August 6). The science. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-science

Hollings, D. (2026, May 15). The speed of thoughts and beliefs: Flipping the bird. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-speed-of-thoughts-and-beliefs-flipping-the-bird

Hollings, D. (2026, April 23). The three traditionally identified components of the mind: Affect, cognition, and conation. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/the-three-traditionally-identified-components-of-the-mind-affect-cognition-and-conation

Hollings, D. (2025, April 15). This cake smells unpleasant. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/this-cake-smells-unpleasant

Hollings, D. (2024, February 6). This ride inevitably ends. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/this-ride-inevitably-ends

Hollings, D. (2025, February 28). To try is my goal. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/to-try-is-my-goal

Hollings, D. (2025, January 9). Traditional ABC model. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/traditional-abc-model

Hollings, D. (2024, October 20). Unconditional acceptance redux. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/unconditional-acceptance-redux

Hollings, D. (2023, October 22). Unfalsifiability. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/unfalsifiability

Hollings, D. (2024, March 18). Unhealthy vs. healthy negative emotions. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/unhealthy-vs-healthy-negative-emotions

Hollings, D. (2024, October 26). Unhelpful expectations. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/unhelpful-expectations

Hollings, D. (2026, May 26). We aren’t all the same. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/we-aren-t-all-the-same

Hollings, D. (2024, September 26). We’ll start from that premise. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/we-ll-start-from-that-premise

Hollings, D. (2024, July 3). What equality? Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/what-equality

Hollings, D. (2023, September 11). What would it take to change your mind? Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/what-would-it-take-to-change-your-mind

Hollings, D. (2023, October 10). When others don’t share your worldview. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/when-others-don-t-share-your-worldview

Hollings, D. (2026, August 2). Why bother? Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/why-bother

Hollings, D. (2026, April 30). Willfully stuck: I’m stuck in my ways. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/willfully-stuck-i-m-stuck-in-my-ways

Hollings, D. (2026, August 19). Wisdom and acting justly are one and the same. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/wisdom-and-acting-justly-are-one-and-the-same

Hollings, D. (2025, October 20). Would there be enough evidence to convict you? Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/would-there-be-enough-evidence-to-convict-you

Hollings, D. (2026, March 8). You are not your beliefs or ideas. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/you-are-not-your-beliefs-or-ideas

Hollings, D. (2026, April 14). You have choices. Hollings Therapy, LLC. Retrieved from https://www.hollingstherapy.com/post/you-have-choices

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