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False Causality (Post Hoc)

Also Known As: Cum Hoc Ergo Propter Hoc Correlation-Causation Fallacy Non Causa Pro Causa
Informal Fallacy ID: false_cause

Definition

The false cause fallacy occurs when a causal relationship is asserted between two events without sufficient evidence, typically because they are correlated or one preceded the other. It encompasses several sub-types including confusing correlation with causation, ignoring confounding variables, and reverse causation. The fallacy reflects a fundamental error in causal reasoning that can lead to misguided policies and beliefs.

Examples

"Countries with higher chocolate consumption have more Nobel Prize winners. Therefore, eating chocolate makes people smarter."

Every time I wear my lucky socks to my team's game, we win. My lucky socks are clearly the reason we keep winning.

A city council notices that ice cream sales and drowning incidents both rise in summer. A councilmember proposes restricting ice cream sales to reduce drowning deaths.

Formal Logic Pattern
FOL Pattern
The First-Order Logic formula representing this reasoning pattern's logical structure.
FOL (First-Order Logic) uses quantifiers (∀ = for all, ∃ = there exists), connectives (∧ = and, ∨ = or, ⇒ = implies, ¬ = not), and predicates to capture the essential form of a reasoning pattern. For example, the Ad Hominem fallacy: Person(x) ∧ HasFlaw(x) ⇒ Invalid(Claim(x)). These patterns allow automated verification of logical validity.

Precedes(A,B) ⇒ Causes(A,B)
Formal Verification:
Formal Verification
Checks whether a reasoning pattern is logically valid or invalid using an automated theorem prover.
Formal verification uses an SMT (Satisfiability Modulo Theories) solver — specifically Z3 — to mathematically check whether an argument's logical structure is valid. Each reasoning pattern is translated into First-Order Logic and tested: Can the premises be true while the conclusion is false? If yes, it's formally invalid. If no, it's formally valid. Many real-world patterns (analogies, heuristics) cannot be fully captured in formal logic — these are marked as not formally decidable, which doesn't mean they're wrong.
Not formally decidable

Verification Steps
Verification Steps
Binary yes/no questions that an AI must answer to detect a reasoning pattern in a text.
Each of the 452 aspects has verification steps — simple yes/no questions designed to systematically detect whether a pattern appears in a text. For ad hominem: "Does the argument attack a person rather than their claim?" For false dichotomy: "Are only two options presented when more exist?" This ensures consistent, reproducible analysis.

Binary (yes/no) questions an LLM must answer to identify this aspect:

  1. 1

    Does the argument claim a cause-and-effect relationship?

    Type: binary
  2. 2

    Is the causal link based only on correlation or temporal sequence?

    Type: binary
  3. 3

    Are alternative causal explanations not addressed?

    Type: binary
Deep Dive
The expandable detail section on each aspect page with examples, psychology, and counter-strategies.
The Deep Dive section provides in-depth information about each aspect: a real-world example showing the pattern in action, an explanation of why it works psychologically, practical advice on how to counter it, alternative names, and links to related aspects.

Related Aspects

← triggers
Anchoring Bias

Relying too heavily on the first piece of information (the anchor).

← triggers
Apophenia / Pareidolia

Perceiving meaningful connections, patterns, or agents in random data.

← correlates with
Regression to the Mean Fallacy

Attributing natural fluctuation to a specific intervention.

← correlates with
Argument from Cause to Effect

If A occurs, B will occur; A occurs; therefore B.

← related to
Anthropomorphisation

Anthropomorphisation as a fallacy occurs when human characteristics such as desires, intentions, beliefs, or emotions are attributed to non-human entities — animals, algorithms, corporations, natural phenomena — and these attributed qualities are then used as the basis for reasoning or argumentation. While anthropomorphic language can be a useful heuristic, it becomes fallacious when the projected human qualities are treated as literal truths that drive conclusions.

← related to
Pathetic Fallacy

The pathetic fallacy, a term coined by John Ruskin, occurs when human emotions are projected onto nature, weather, or inanimate objects, and these projections are then used to support conclusions or interpretations. While common and often harmless in literature, it becomes fallacious in argumentation when the emotional state of natural phenomena is treated as evidence for a claim about the world or human affairs.

← related to
Ontological Fallacy

The ontological fallacy occurs when a model, map, theory, or abstraction is confused with the reality it represents. Conclusions are drawn as if the properties, limitations, and structure of the representation are properties of the thing itself. This is a fundamental category error: the model is an epistemological tool, not an ontological entity, and reasoning that collapses this distinction produces invalid inferences.

← related to
Cause-Effect Swap

The cause-effect swap occurs when the causal direction between two correlated phenomena is reversed. While both events are genuinely related, the arguer misidentifies which is the cause and which is the effect. This is distinct from the general false cause fallacy or post hoc reasoning in that a real causal relationship exists — it is simply inverted. The reversal often serves to support a preferred narrative or intervention.

← related to
Teleological Fallacy

The teleological fallacy occurs when purpose, design, or intentionality is attributed to a process, system, or entity without evidence that such purpose exists, and this assumed purpose is then used as a basis for reasoning. While teleological language can be a useful shorthand in biology ('the heart exists to pump blood'), it becomes fallacious when the attribution of purpose is taken literally and used to derive normative or causal conclusions — especially in domains like evolution, history, or economics where no intentional design has been demonstrated.

← related to
Non Sequitur

Non sequitur (Latin: 'it does not follow') is the broad formal fallacy in which the conclusion does not logically follow from the premises. While many specific fallacies are technically non sequiturs, the term is applied when the logical gap is stark and cannot be classified under a more specific fallacy category. The conclusion may be true or false independently, but the argument provides no valid logical path from premises to conclusion, and the disconnect is too fundamental to be attributed to a missing premise.

Hierarchical Context