ATLAS OF LANGUAGE

AT-LOG-0001 · ATLAS 260

Paradox

A statement or pattern that appears plausible and contradictory or counter-intuitive at once.

Part of the subject path Argumentation, Logic and Discourse

Why is this entry in the Atlas?

A · Analytical concept R1 · Distinct contribution to understanding

Paradox redirects attention from a surprising result to the assumptions and reasoning that produce it. Its contribution is to make apparently secure concepts subject to counter-examination. The broad entry must keep logical paradoxes distinguishable from rhetorically paradoxical statements rather than applying one test indiscriminately.

Colours and admission grounds

The rectangular label identifies the entry function: F – linguistic figure or procedure; A – analytical concept; G – foundational concept; E – selected concrete case. The rounded badge indicates the admission ground: R1 – distinctive contribution; R2 – necessary foundation; R3 – justified illustrative case. This editorial rationale explains the current selection rather than claiming an undocumented original selection history.

Explanation

A paradox is a statement or pattern of thought that proceeds from plausible assumptions to a contradictory, impossible, or strongly counter-intuitive result. Its productivity lies in not remaining mere absurdity: it requires premises, concepts, inference rules, or levels of analysis to be examined again. Some paradoxes dissolve through a distinction, while others expose limits of a formal system or preserve a real tension. A surprising sentence alone is therefore insufficient. A paradox has a reconstructable structure whose individual steps initially appear compelling. The concept makes limits of thought into active spaces of inquiry while guarding against the temptation to treat every striking contradiction as profound truth.

Movement of thought

1. Several premises, conceptual rules, or everyday expectations first appear individually plausible and mutually compatible. 2. A traceable inference connects them and yields a contradiction or strongly counter-intuitive result. 3. The collision interrupts habitual certainty and directs attention to hidden assumptions or shifts between levels. 4. A counter-test formalises the inference and varies definitions, self-reference, scope, or empirical assumptions. 5. The problem returns either dissolved through a sharper distinction or retained as a demonstrated limit of the model.

Scientific use case

Logic and philosophy reconstruct premises, self-reference, and inference rules; history of science examines how paradoxes prompt theoretical change. Empirical research can test apparent paradoxes for measurement or selection artefacts.

Example

A complete index should contain every relevant term. If “not included in the index” includes itself as a relevant entry, a self-referential difficulty arises that forces the rule to be qualified.

Counterexample

“The round circle is square” is simply contradictory when supported by no plausible premises. Mere contradiction or surprising wording does not yet form an epistemically productive paradox.

Distinction

Distinguish paradox from logical contradiction, aporia, dilemma, oxymoron, and mere counter-intuitiveness. A paradox joins plausible beginnings to a problematic result; aporia more directly names the resulting impasse.

Effect on thought and perception

Paradoxes interrupt automatic inference, expose hidden assumptions, and foster conceptual revision; as a pose they may confuse bewilderment with depth.

Resonance

A line of thought moves convincingly forward and meets its opposite; the returning tension forces the entire conceptual field into a new order.

Cite this entry

Reich, Michael (Hrsg./ed.): „Paradox“. Atlas der Sprache, AT-LOG-0001. ATLAS 260, data model 1.6.0. https://atlasoflanguage.com/concept/AT-LOG-0001

https://atlasoflanguage.com/concept/AT-LOG-0001

The address remains stable; editorial content may evolve. Editorial reading state: 2026-10-15. Include your access date for precise references.

Historical background

Peacham’s paradoxon presents a claim as strikingly difficult to believe, sometimes by acknowledging that the speaker once shared the audience’s disbelief. He explicitly warns against turning wonder into a vehicle for false stories. This is a rhetorical witness to paradox, not a definition of a logical contradiction or a proof that an apparently impossible claim is true. The Atlas can use the distinction to separate a conflict with expectation from a conflict within a system of propositions. An original exercise asks which belief must be revised before the claim becomes intelligible. Sometimes the surprise comes from new evidence; sometimes it comes only from a misleading formulation. The handbook documents one historical branch, while the English word’s other philosophical and mathematical developments require their own sources.

How conceptual history changes the analysis

A paradox may violate expectation without being logically contradictory; analysis must test whether new evidence, a category shift, or misleading formulation produces the effect.