〜きれない details

write + more of it than can be got through — too much to finish

kaki kirenai

more of it than can be got through — too much to finish

meaning: can't finish writing

資料しりょうが多おおすぎて、一日いちにちでは読みよみきれない。

shiryou ga oosugite, ichinichi de wa yomi kirenai.

There's so much material that I can't finish reading it in a day. neutral

この量りょう、ぜったい食たべきれないって。

kono ryou, zettai tabekirenaitte.

There is no way I'm getting through this much. casual

Examples

too much to get through — the amount defeats the attempt, whoever is making it

資料しりょうが多おおすぎて、一日いちにちでは読よみきれない。

shiryou ga oosugite, ichinichi de wa yomikirenai.

There's so much material that I can't finish reading it in a day. neutral

この量りょう、ぜったい食たべきれないって。

kono ryou, zettai tabekirenaitte.

There is no way I'm getting through this much. casual

空そらには数かぞえきれないほどの星ほしが出でていた。

sora ni wa kazoekirenai hodo no hoshi ga dete ita.

The sky was full of more stars than anyone could count. neutral

今回こんかいの企画きかくでは、ここに書かききれないほど多おおくの方かたにお世話せわになりました。

konkai no kikaku de wa, koko ni kakikirenai hodo ooku no kata ni osewa ni narimashita.

On this project we were helped by more people than we could list here. formal

〜切る
全部ぜんぶ食たべきった reports the eating as finished; 食たべきれない reports the FOOD as more than anyone could finish, so the impossibility is a claim about the quantity — which is why 数かぞえきれない is everyday while its own positive potential ×数かぞえきれる is not said.

られる（可能）
食たべられない says the speaker cannot eat the thing at all (an allergy, a dislike); 食たべきれない says they can eat it perfectly well, just not the whole of it — the potential scopes over the quantity, never over the act.

ほど
ほど is how きれない gets inside a noun phrase — 数かぞえきれないほどの星ほし turns the impossibility into a measure of how many there were, which is the shape most of its written uses take.