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Conspiracy Believers Often Hold Two Beliefs That Can’t Both Be True
In A Nutshell
- People at the extreme high end of a conspiracy-thinking scale have a 91% predicted probability of holding logically incompatible beliefs, compared to just 3% at the low end.
- The new probability-based scoring method overturns a widely cited 2023 study that had put the rate of incompatible belief below 3% of participants.
- A second experiment using fictional events found inconsistency showed up even outside conspiracy-themed content, pointing to two separate drivers behind the pattern.
- Past attempts to correct incompatible beliefs by pointing them out directly haven’t worked well, since people tend to rationalize rather than abandon them.
Can someone genuinely believe Princess Diana was murdered by British intelligence and that she faked her own death? Logically, both can’t be true at once. Yet a sweeping new analysis of nearly 9,000 people suggests that for the most committed conspiracy believers, holding two mutually incompatible ideas at once isn’t a quirk, it’s practically the rule.
A research team from the University of Fribourg, the University of Bristol, and the University of Potsdam set out to settle a long-running debate: do conspiracy believers actually hold beliefs that clash with each other? Using a more rigorous math-based approach than earlier researchers had applied, they found that people at the extreme high end of a conspiracy-thinking scale had a 91% predicted probability of being logically inconsistent, versus just 3% at the low end.
That finding cuts against an influential 2023 study that concluded researchers had dramatically overestimated how often conspiracy believers hold incompatible ideas, putting the true figure below 3% of participants. This new paper, published in PNAS Nexus, argues that earlier study used a method that couldn’t detect individual-level inconsistency, and that a sharper tool brings the pattern back into focus.
Old Methods Missed Individual-Level Conspiracy Inconsistency
For years, researchers measured whether people who agreed more strongly with one conspiracy theory also tended to agree more strongly with a competing, incompatible one, treating a shared upward trend as evidence people held both beliefs at once.
That logic has a flaw. A positive relationship between two responses can show up even when almost nobody believes either claim. Someone who strongly doubts Diana was murdered and strongly doubts she faked her death will still produce responses moving in the same direction, creating a pattern with no genuine overlap in belief underneath it. Critics latched onto this flaw, reasonably so.
What critics missed, according to the new research, is that the fix isn’t abandoning the concept. It’s measuring incompatible belief at the level of individual people, rather than as an average trend across a group.
A Probability-Based Score Flags Inconsistency Person by Person
To fix this, researchers borrowed a framework from probability theory, converting each person’s agreement ratings into something closer to a probability estimate. Someone who rates a belief that Diana was murdered as very high, and a belief that she faked her death as also very high, ends up with two probability-like numbers that, added together, exceed what’s mathematically possible. Study authors compare it to trying to eat one and a half pizzas when only one pizza exists. They call this approach an incoherence score, and it flags a specific person as inconsistent instead of just tracking a trend across a group.
Researchers reanalyzed data from eight previously published studies, totaling 8,590 participants from Serbia, the United Kingdom, the Netherlands, and the United States. Each study had asked people to rate their agreement with pairs of competing conspiracy explanations for the same event, while also measuring how strongly they generally distrusted official accounts.
Applying that scoring method to the reanalyzed data, among participants who scored high on a conspiracy-thinking scale, 58% were inconsistent in at least one belief pair, compared to 11% among those who scored low. A computer simulation ruled out random or careless answering as the explanation; observed inconsistency was far higher than chance would produce, in the full sample and among high scorers alike.
Fictional Events Reveal Two Drivers of Conspiracy Inconsistency
A second study involved 469 U.S.-based, English-speaking participants recruited through an online research platform. Rather than using real-world conspiracy theories participants might already have opinions about, researchers invented fictional events set in Europe, stripping away the influence of prior knowledge or media exposure. Participants read short descriptions of ambiguous events, then rated the likelihood of two competing explanations, conspiratorial and otherwise, on a sliding scale from 0 to 100.
Results also turned up inconsistency outside conspiracy-themed explanations, suggesting part of the pattern may reflect a general tendency to miss logical constraints, rather than simply a motivated pull toward anti-establishment ideas.
Based on the combined results, the authors propose two distinct sources behind conspiracy-related inconsistency. One is content-specific: when both explanations match an anti-establishment worldview, believers are motivated to accept both, since each feeds a shared sense that the official story is wrong. The other is more general and, per the researchers’ interpretation, involves people high in conspiracy thinking being somewhat less likely to notice or act on logical constraints, even in neutral settings unrelated to conspiracy content.
Pointing Out Incompatible Beliefs Rarely Changes Minds
Past efforts to reduce incompatible conspiracy beliefs by pointing out the inconsistency directly haven’t worked especially well; people tend to rationalize incompatible ideas rather than abandon them. Study authors note one possible avenue: AI tools that engage people through personalized conversation could potentially help them notice when their own probability estimates don’t add up, though the paper stops short of claiming such tools have been proven effective at reducing conspiracy beliefs specifically.
Higher levels of conspiracy thinking were associated with a measurable departure from basic logical consistency, one that grew especially pronounced at the highest end of the scale. That raises real questions about how, or whether, incompatible beliefs can be dislodged once they’ve taken hold.
Disclaimer: This article summarizes findings from a peer-reviewed study and is intended for general informational purposes. It is not a diagnostic or clinical assessment of any individual’s beliefs or reasoning, and readers with concerns about their own thinking patterns or a loved one’s should consult a qualified mental health professional.
Paper Notes
Limitations
Because Study 2 introduced several methodological improvements simultaneously, including the use of fictional vignettes, explicit logical framing, a continuous probability scale, and displaying both incompatible claims at once, the researchers acknowledge that they cannot determine which of those features individually drove the effects. Each design choice was intended to make logical inconsistency easier to detect, but paired tests isolating each factor remain to be done. Study 2 also tested contrary explanation pairs that were either both conspiratorial or both nonconspiratorial, rather than presenting conspiratorial and non-conspiratorial explanations together for the same event, which would better mirror real-world situations. Using fictional scenarios was intentional to separate prior knowledge from reasoning style, but it also leaves open the question of how familiarity with real conspiracy theories and a person’s general conspiratorial mindset interact with each other.
Funding and Disclosures
According to the paper, author A. Miani is supported by the Swiss National Science Foundation (project number 214293). Author S. Lewandowsky acknowledges financial support from the European Research Council (ERC Advanced Grant 101020961 PRODEMINFO), the Humboldt Foundation through a research award, the Volkswagen Foundation, the European Commission (Horizon Europe grant 101094752 SoMe4Dem), and UK Research and Innovation (through EU Horizon replacement funding grant number 10049415). The authors declare no competing interests.
Publication Details
Authors: Alessandro Miani (Department of Psychology, University of Fribourg; School of Psychological Science, University of Bristol), Nicole Cruz (Department of Psychology, University of Potsdam), and Stephan Lewandowsky (School of Psychological Science, University of Bristol; Department of Psychology, University of Potsdam) | Journal: PNAS Nexus, Volume 5, Issue 8 | Paper Title: “Still very much dead and alive: Incoherence in conspiracism as a departure from Bayesian rationality” | DOI: https://doi.org/10.1093/pnasnexus/pgag250 | Published: August 18, 2026







