ATLAS OF LANGUAGE

AT-ADD-20261020-0125 · ATLAS 261

Logic

Logic investigates, among other matters, consequence under specified assumptions and rules, compatibility among statements and ways of making those relations precise. Historical and contemporary approaches differ. Valid inference, true premises and persuasive presentation must be distinguished.

Part of the subject path Argumentation, Logic and Discourse

Why is this entry in the Atlas?

G · Foundational concept R2 · Necessary foundation

The profile supplies orientation beyond individual accounts of deduction and syllogism. It separates content, form, system and factual testing so that apparent obviousness becomes assessable. Rationality is broader than formal consequence; mathematics and logic intersect without being identical; persuasion concerns reception rather than validity alone.

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 valid transition can preserve truth without providing the facts it needs. Stating that all books in a box are damaged and that this volume is there licenses a conclusion under fixed readings. Whether the first statement is true remains a separate inquiry. Formal scrutiny cannot replace returning to the subject matter. Everyday certainty can hide a missing premise or an invalid form. Asking for a countermodel clarifies a deductive claim: could the premises be true while the conclusion is false? Other kinds of well-supported expectation need different assessment. Logic is not one unchanged two-valued system or the whole field of sensible judgement. “All birds fly; penguins are birds; therefore penguins fly” has a valid form but a false premise in this invented exercise. Animated delivery cannot repair it. Conversely, a factually correct message can be hard to understand. Formulation, inference and factual checking are separate standards that must cooperate. The historical trivium permits this comparison without reducing grammar to correction or every dialectic to modern formal logic. It establishes neither a rigid lesson sequence nor a universal ladder through which learning must proceed.

Movement of thought

1. Fix the relevant meanings and premises. 2. Specify necessary consequence or supported expectation. 3. Search for a countermodel where appropriate. 4. Check the premises independently.

Scientific use case

Argument analysis can make premises explicit and compare possible models. It should state its logical framework and avoid treating a change of formalisation as a discovered change in the underlying facts.

Example

Invented inference: If the alarm is active, a red light shows. A red light shows, therefore the alarm is active. Another circuit could produce the light, so the conclusion does not follow from that form alone. This differs from checking whether the actual alarm is active.

Counterexample

“That is logical” is not a demonstration. Formal validity does not establish fairness or practical wisdom. Historical logical-square relations can require existence assumptions that should not be silently applied to empty classes.

Distinction

Rationality is broader than formal consequence; mathematics and logic intersect without being identical; persuasion concerns reception rather than validity alone.

Effect on thought and perception

The profile supplies orientation beyond individual accounts of deduction and syllogism. It separates content, form, system and factual testing so that apparent obviousness becomes assessable.

Resonance

Resonance may occur when a persuasive claim loses its inevitability after a missing step becomes visible. The target is a relation among claims, not an insult to a speaker's intelligence.

Etymology

Logic belongs to a Greek-derived logos family. That historical range does not establish identity with all reasoning or a single modern formal system.

Provenance

The inherited HWdR work used selected sections of a long article and a limited Aristotle control. It does not verify every proof system or endorse every historical classification printed there.

Cite this entry

Reich, Michael (Hrsg./ed.): „Logic“. Atlas der Sprache, AT-ADD-20261020-0125. ATLAS 261, data model 1.6.0. https://atlasoflanguage.com/concept/AT-ADD-20261020-0125

https://atlasoflanguage.com/concept/AT-ADD-20261020-0125

The address remains stable; editorial content may evolve. Editorial reading state: 2026-10-20. Include your access date for precise references.

Guiding question

Does the conclusion follow, and have the premises themselves been established?

Five coordinate questions

These descriptions explain the entry. They are not controlled register values and do not generate shared register results.

Where can the process be observed?

Invented inference: If the alarm is active, a red light shows. A red light shows, therefore the alarm is active. Another circuit could produce the light, so the conclusion does not follow from that form alone. This differs from checking whether the actual alarm is active.

What happens to the material?

Fix the relevant meanings and premises.

Specify necessary consequence or supported expectation.

Search for a countermodel where appropriate.

Check the premises independently.

At what level does a change occur?

The profile supplies orientation beyond individual accounts of deduction and syllogism. It separates content, form, system and factual testing so that apparent obviousness becomes assessable.

What temporal structure is explicitly described?

The steps offer an order of analysis, not an asserted real-time sequence of mental events. Read the particular example sequence separately from the historical development.

How can the description be tested?

“That is logical” is not a demonstration. Formal validity does not establish fairness or practical wisdom. Historical logical-square relations can require existence assumptions that should not be silently applied to empty classes.

Historical context

The inherited HWdR work used selected sections of a long article and a limited Aristotle control. It does not verify every proof system or endorse every historical classification printed there.

Cross-language distinction and terminology

Keep validity and truth distinct; soundness additionally requires true premises. Colloquial logical often expresses confidence and should not be treated as a formal result.

Scholarly comparisons and distinctions

These entries are editorial comparison anchors for the distinctions made in this article. They are not new canonical relation edges or shared register results.

Proposed thought pathway

  1. Fix the relevant meanings and premises.
  2. Specify necessary consequence or supported expectation.
  3. Search for a countermodel where appropriate.
  4. Check the premises independently.

An editorial exploration, not a necessary sequence of thought or experimental evidence of an effect.

Source scope and provenance

Both specialist versions are editorially accepted. The recorded scope of the reference-work research is retained; this is not a fresh full verification of every primary source. Examples and analytical steps are Atlas applications.