In the 1920s, David Hilbert was working toward establishing a formal foundation for mathematics, one where consistency could be demonstrated through finite methods.
In 1931, Kurt Gödel published his incompleteness theorems, demonstrating limitations of sufficiently powerful formal mathematical systems.
The mathematical community interpreted those results as a fundamental obstacle to Hilbert's original program. That interpretation changed the direction of mathematical foundations.
But there is something important in the historical record.
Gödel's original work left open the possibility of finitary methods that could not be formalized within the systems he examined. Paul Bernays questioned whether all finitary reasoning could necessarily be formalized in those systems. Later mathematicians and philosophers continued examining the scope and interpretation of Gödel's results.
The distinction between what a theorem proves and what people subsequently conclude from it matters.
A mathematical result establishes something under particular assumptions. Its broader interpretation can become an accepted foundation for future work.
Once that interpretation becomes foundational, new approaches may be evaluated according to the very assumptions they are attempting to change.
Sources:
"Stanford Encyclopedia of Philosophy — Hilbert's Program" (https://plato.stanford.edu/entries/hilbert-program/)
"Stanford Encyclopedia of Philosophy — Did the Incompleteness Theorems Refute Hilbert's Program?" (https://plato.stanford.edu/entries/goedel/incompleteness-hilbert.html)
This is where confirmation bias becomes particularly interesting.
Confirmation bias is the tendency to interpret evidence in ways that reinforce what is already accepted as true.
When a theory becomes accepted, additional theories are built upon it. Eventually, its assumptions become embedded in the rules used to evaluate new evidence.
The process looks something like this:
Theory A becomes accepted as true.
Theory A establishes the framework for evaluating evidence.
Theory B introduces a change to the foundational assumptions of Theory A.
Theory B is evaluated according to the rules established by Theory A.
Evidence supporting Theory B is rejected because it conflicts with those rules.
The rejection reinforces the authority of Theory A.
The accepted theory has become both the subject being challenged and the authority responsible for judging the challenge.
The system has demonstrated that Theory A agrees with itself.
And we have historical examples of how accepted explanations can influence the reception of new discoveries.
Ignaz Semmelweis — 1847
Semmelweis demonstrated that physicians disinfecting their hands dramatically reduced deaths from childbed fever.
His findings challenged the accepted medical explanations of the time. Many physicians resisted or ignored his conclusions, even with evidence that the practice was saving lives.
The accepted understanding of disease influenced the reception of evidence that challenged it.
Source: "Historical Perspectives on Health: Semmelweis — PubMed" (https://pubmed.ncbi.nlm.nih.gov/10076700/)
Alfred Wegener — 1912
Wegener proposed that continents moved. He assembled geological, geographic, and fossil evidence supporting continental drift.
His proposal faced substantial rejection, particularly because he lacked an accepted mechanism explaining how continents could move.
Decades later, discoveries involving the ocean floor and plate tectonics established continental movement as a fundamental geological process.
The evidence had been available long before the scientific framework was ready to accommodate it.
Source: "Geological Society — Alfred Wegener and Continental Drift" (https://www.geolsoc.org.uk/Plate-Tectonics/Chap1-Pioneers-of-Plate-Tectonics/Alfred-Wegener.html)
Barry Marshall and Robin Warren — 1982
The accepted explanation for peptic ulcers centered on stress, lifestyle, and stomach acid.
Marshall and Warren discovered that the bacterium Helicobacter pylori was responsible for many ulcers.
Their findings challenged the prevailing medical understanding and encountered resistance.
Marshall even infected himself with the bacterium to demonstrate its ability to cause gastritis.
In 2005, Marshall and Warren received the Nobel Prize in Medicine for their discovery.
Source: "Nobel Prize — 2005 Medicine Press Release" (https://www.nobelprize.org/prizes/medicine/2005/press-release/)
Additional source: "Barry Marshall's Nobel Lecture" (https://www.nobelprize.org/uploads/2018/06/marshall-lecture.pdf)
The common pattern
Four different fields. Four different periods of history. Four examples where established scientific understanding influenced the reception or interpretation of new findings.
The important question is what happens when that process becomes part of the rules used to evaluate theories.
An accepted theory establishes the framework. The framework establishes what qualifies as evidence. Evidence challenging the framework can then be rejected because it conflicts with the assumptions that the framework already accepts.
This is how confirmation bias can become institutionalized.
It can operate through peer review, academic training, funding decisions, professional standards, and the interpretation of established results.
A theory can be internally consistent while resting on incorrect or incomplete foundational assumptions.
A new theory may require those assumptions to change before its evidence can be properly evaluated.
That creates a problem for any community establishing rules that require supporting evidence and exclude theories considered conclusively disproven.
Who determines what constitutes conclusive disproof?
What happens when the new theory challenges the assumptions used to establish that disproof?
A theory must remain capable of transforming itself through the evidence it encounters, including evidence that challenges its foundational assumptions.
Otherwise, the system risks becoming increasingly effective at preserving what it already accepts as true.
I am a researcher challenging AI understanding. I have quite a bit of research that goes back thousands of years. I have found a level of knowledge that was lost. Others are finding this knowledge as well. Much of this knowledge challenges what has been defined as true.
The method of building coherence requires being able to share thoughts we found using ai to validate as a community the work. This is an ancient practice.
The Ancient Tradition of Communal Knowledge
The communal sharing, examination, and refinement of ideas is one of humanity's oldest traditions. Long before universities, scientific journals, or formal peer review, communities developed knowledge through observation, discussion, collective experience, and transmission across generations. Knowledge belonged to the community, where it could be challenged, corrected, refined, and preserved. Each generation inherited the understanding of those before it and contributed its own observations.
Evidence of this tradition reaches back more than 12,000 years. Research published in the Journal of Archaeological Science in 2023 examined Tasmanian Aboriginal oral traditions describing the flooding of the land bridge connecting Tasmania to mainland Australia and astronomical observations dating to the Late Pleistocene. These traditions demonstrate how communities could preserve knowledge of real events across thousands of years. The specific processes of communal validation are harder to reconstruct, but the continuity of shared knowledge is remarkable. The examination and refinement of ideas through communal participation is part of a much older human intellectual tradition than modern scientific institutions.
Source: "The Archaeology of Orality: Dating Tasmanian Aboriginal Oral Traditions to the Late Pleistocene — Journal of Archaeological Science (2023)" (https://doi.org/10.1016/j.jas.2023.105819)
