axiomatism.com

Comparables

Words with similar prefixes and semantically similar words are organized and compared with axiom.

axiom

axi-1578-
Origin:
ἀξίωμα (axiōma)
Meaning:
A proposition deemed worthy. Axiom.
Note:
axi- + -om

1. Words with Similar Prefixes

Words sharing axi- (Greek ἄξιος axios "worthy"). Includes OED Nearby entries.

axiology

axi-1908-
Origin:
ἄξιος + -logy
Meaning:
Philosophy of value. Axiology.
Note:
axi- + -ology
Difference from axiom:
Different domain: philosophy of value, not logic. Suffix -ology.

axiomatic

axi-1797-
Origin:
ἀξιωματικός (axiōmatikos)
Meaning:
Based on axioms; self-evident.
Note:
Adjective form of axiom
Difference from axiom:
Adjective, not a proposition. Describes axiom-based systems.

axiomatical

axi-1588-
Origin:
axiomatic
Meaning:
Older form of axiomatic.
Difference from axiom:
Archaic form of axiomatic.

axiomatically

axi-1588-
Origin:
axiomatic
Meaning:
In an axiomatic manner; as a self-evident truth.
Difference from axiom:
Adverb. Manner of derivation, not a proposition.

axiomatize

axi-1716-
Origin:
axiom
Meaning:
To reduce to axioms; to axiomatize.
Difference from axiom:
Verb. The action of axiomatizing, not a proposition.
Origin:
axiom
Meaning:
Middle axioms. Intermediate propositions in logic.
Difference from axiom:
Plural. Intermediate axioms in syllogistic logic.

axion

axi-1978-
Origin:
axiom
Meaning:
Hypothetical particle in physics. Named by analogy to axiom.
Difference from axiom:
Physics term. Named by analogy, not a logical proposition.

axiological

axi-1907-
Origin:
axiology
Meaning:
Relating to axiology.
Difference from axiom:
Derived from axiology. Value theory, not logic.

axiologist

axi-1935-
Origin:
axiology
Meaning:
One who studies axiology.
Difference from axiom:
Practitioner of axiology. Not a proposition.

axiopistical

axi-1611-
Origin:
ἄξιος + -pistical
Meaning:
Worthy of belief.
Difference from axiom:
Shares axi- but -pistical suffix. Epistemic, not logical.

axiopisty

axi-1885-
Origin:
ἄξιος + -pisty
Meaning:
Worthiness of belief.
Difference from axiom:
Abstract noun. Epistemic quality, not a proposition.

2. Semantically Similar Words

Comparison of meaning with axiom.

A postulate. A proposition assumed without proof.

Difference from axiom: Nearly synonymous with axiom. Often used in geometry.

A theorem. A proposition derived logically from axioms or existing theorems.

Difference from axiom: Derived from axioms. Requires proof.

A lemma. An auxiliary theorem used in proving other theorems.

Difference from axiom: A type of theorem. Used in the course of proofs.

A maxim or principle. A summary of established propositions.

Difference from axiom: Originally synonymous with axiom (15c.). Now has a practical, proverbial nuance.

A principle. A fundamental proposition underlying reasoning or action.

Difference from axiom: Broader than axiom. Used in logic, science, ethics, etc.

Reference Dictionaries

Dictionaries used to verify terms in Comparables.