-ic and -ical
Many adjectives end in -ic or -ical. There is no general rule to tell you which form is correct in a particular case.
Some adjectives normally ending in -ic
- academic
- algebraic
- arithmetic
- artistic
- athletic
- catholic
- despotic
- domestic
- dramatic
- egoistic
- emphatic
- energetic
- fantastic
- geometric
- linguistic
- majestic
- neurotic
- pathetic
- pedagogic
- pedantic
- phonetic
- public
- semantic
- strategic
- syntactic
- systematic
- tragic
Arithmetical, geometrical and pedagogical also occur.
Some of these words ended in -ical in older English (e.g. fantastical, majestical, tragical).
New adjectives which come into the language generally end in -ic, except for those ending in -logical.
Some adjectives ending in -ical
- biological (and many other adjectives ending in -logical)
- chemical
- critical
- cynical
- fanatical
- grammatical
- logical
- mathematical
- mechanical
- medical
- musical
- physical
- radical
- surgical
- tactical
- topical
- typical
- tyrannical
Differences of meaning
Rhythmic and rhythmical both exist with no difference of meaning. In a few other cases, both forms exist but with a meaning difference. See Word problems from A to Z for classic(al), comic(al), economic(al), electric(al), historic(al), magic(al) and politic(al).
Adverbs
Note that whether the adjective ends in -ic or -ical, the adverb ends in -ically*(pronounced /ɪkli/). The one common exception is publicly*(not publically).
Nouns ending in -ics
Many nouns ending in -ics are singular (e.g. physics, athletics). Some can be either singular or plural (e.g. mathematics, politics). For details, (see here).