### What does **inconsistent** mean?

# Definitions for inconsistent

ˌɪn kənˈsɪs təntin·con·sis·tent

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **inconsistent**.

### Princeton's WordNet

inconsistentadjective

displaying a lack of consistency

"inconsistent statements cannot both be true at the same time"; "inconsistent with the roadmap"

inconsistentadjective

not capable of being made consistent or harmonious

"inconsistent accounts"

discrepant, inconsistentadjective

not in agreement

### Wiktionary

inconsistentadjective

not consistent

### Samuel Johnson's Dictionary

Inconsistentadjective

**Etymology:***in*and*consistent.*Finding no kind of compliance, but sharp protestations against the demands, as

*inconsistent*with conscience, justice, or religion, the conference broke off.*Edward Hyde.*Compositions of this nature, when thus restrained, shew that wisdom and virtue are far from being

*inconsistent*with politeness and good humour.*Joseph Addison, Freeholder.*The idea of an infinite space or duration is very obscure and confused, because it is made up of two parts very different, if not

*inconsistent.**John Locke.*

### Wikipedia

inconsistent

In classical deductive logic, a consistent theory is one that does not lead to a logical contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent if it has a model, i.e., there exists an interpretation under which all formulas in the theory are true. This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. The syntactic definition states a theory T {\displaystyle T} is consistent if there is no formula φ {\displaystyle \varphi } such that both φ {\displaystyle \varphi } and its negation ¬ φ {\displaystyle \lnot \varphi } are elements of the set of consequences of T {\displaystyle T} . Let A {\displaystyle A} be a set of closed sentences (informally "axioms") and ⟨ A ⟩ {\displaystyle \langle A\rangle } the set of closed sentences provable from A {\displaystyle A} under some (specified, possibly implicitly) formal deductive system. The set of axioms A {\displaystyle A} is consistent when φ , ¬ φ ∈ ⟨ A ⟩ {\displaystyle \varphi ,\lnot \varphi \in \langle A\rangle } for no formula φ {\displaystyle \varphi } .If there exists a deductive system for which these semantic and syntactic definitions are equivalent for any theory formulated in a particular deductive logic, the logic is called complete. The completeness of the sentential calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931). Stronger logics, such as second-order logic, are not complete. A consistency proof is a mathematical proof that a particular theory is consistent. The early development of mathematical proof theory was driven by the desire to provide finitary consistency proofs for all of mathematics as part of Hilbert's program. Hilbert's program was strongly impacted by the incompleteness theorems, which showed that sufficiently strong proof theories cannot prove their own consistency (provided that they are in fact consistent). Although consistency can be proved by means of model theory, it is often done in a purely syntactical way, without any need to reference some model of the logic. The cut-elimination (or equivalently the normalization of the underlying calculus if there is one) implies the consistency of the calculus: since there is no cut-free proof of falsity, there is no contradiction in general.

### ChatGPT

inconsistent

Inconsistent broadly refers to the state of lacking stability in behavior, attitude, quality, performance, or any other characteristic. It describes a lack of continuity, contradictions, and fluctuations, not sticking to the same rules or principles throughout. It can refer to a lack of logical connection or coherence, where some aspects or elements do not match or align with others.

### Webster Dictionary

Inconsistentadjective

not consistent; showing inconsistency; irreconcilable; discordant; at variance, esp. as regards character, sentiment, or action; incompatible; incongruous; contradictory

Inconsistentadjective

not exhibiting uniformity of sentiment, steadiness to principle, etc.; unequal; fickle; changeable

### Chambers 20th Century Dictionary

Inconsistent

in-kon-sist′ent,

*adj.*not consistent: not suitable or agreeing with: intrinsically incompatible: self-contradictory: changeable, fickle.—*ns.***Inconsist′ence**,**Inconsist′ency**.—*adv.***Inconsist′ently**.

### Anagrams for inconsistent »

nonscientist

### Numerology

Chaldean Numerology

The numerical value of inconsistent in Chaldean Numerology is:

**1**Pythagorean Numerology

The numerical value of inconsistent in Pythagorean Numerology is:

**8**

### Examples of inconsistent in a Sentence

This behavior is

**inconsistent**with the values, policies, and practices of this organization.Let tears flow of their own accord their flowing is not

**inconsistent**with inward peace and harmony.Mrs. Britt is doing her best to masquerade as something she clearly is not … If you look at her past track record, it is very

**inconsistent**with those of us who support the MAGA agenda.Fidelity to conscience is

**inconsistent**with retiring modesty. If it be so, let the modesty succumb. It can be only a false modesty which can be thus endangered.Based on the limited information available to us in this case, we feel the secrecy order was too broadly drawn and is

**inconsistent**with the U.S. government's policy that secrecy orders be narrowly tailored.

### Popularity rank by frequency of use

### References

## Translations for **inconsistent**

### From our Multilingual Translation Dictionary

- تتعار� Arabic
- inkonsistentGerman
- ασυνεπήςGreek
- inconsecuente, inconsistenteSpanish
- epäkonsistentti, inkonsistentti, epäjohdonmukainenFinnish
- incompatible, incohérentFrench
- mì-chòrdailScottish Gaelic
- következetlen, inkonzisztensHungarian
- לא עקביHebrew
- შეუთავსებელიGeorgian
- inconsequentDutch
- inconsistentePortuguese
- neconsistent, inconsistentRomanian
- рассогласованныйRussian
- tutarsızTurkish
- непослідовнийUkrainian

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### Translation

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