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radical (adj.)

late 14c., in a medieval philosophical sense, from Late Latin radicalis "of or having roots," from Latin radix (genitive radicis) "root" (from PIE root *wrād- "branch, root"). Meaning "going to the origin, essential" is from 1650s. Radical sign in mathematics is from 1680s.

Political sense of "reformist" (via notion of "change from the roots") is first recorded 1802 (n.), 1817 (adj.), of the extreme section of the British Liberal party (radical reform had been a current phrase since 1786); meaning "unconventional" is from 1921. U.S. youth slang use is from 1983, from 1970s surfer slang meaning "at the limits of control." Radical chic is attested from 1970; popularized, if not coined, by Tom Wolfe. Radical empiricism coined 1897 by William James (see empiricism).

radical (n.)

1630s, "root part of a word, from radical (adj.) Political sense from 1802; chemical sense from 1816.

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Definitions of radical from WordNet
1
radical (n.)
(chemistry) two or more atoms bound together as a single unit and forming part of a molecule;
Synonyms: group / chemical group
radical (n.)
an atom or group of atoms with at least one unpaired electron; in the body it is usually an oxygen molecule that has lost an electron and will stabilize itself by stealing an electron from a nearby molecule;
in the body free radicals are high-energy particles that ricochet wildly and damage cells
Synonyms: free radical
radical (n.)
a person who has radical ideas or opinions;
radical (n.)
(mathematics) a quantity expressed as the root of another quantity;
radical (n.)
a character conveying the lexical meaning of a logogram;
radical (n.)
(linguistics) the form of a word after all affixes are removed;
Synonyms: root / root word / base / stem / theme
2
radical (adj.)
(used of opinions and actions) far beyond the norm;
radical opinions on education
Synonyms: extremist / ultra
radical (adj.)
markedly new or introducing radical change;
radical political views
Synonyms: revolutionary
radical (adj.)
arising from or going to the root or source;
a radical flaw in the plan
radical (adj.)
of or relating to or constituting a linguistic root;
a radical verb form
radical (adj.)
especially of leaves; located at the base of a plant or stem; especially arising directly from the root or rootstock or a root-like stem;
radical leaves
Synonyms: basal
From wordnet.princeton.edu