
die Ewigkeit
eternity
A state or period of time without beginning and without end; infinite duration.
Manche Religionen lehren, dass die Seele für die Ewigkeit weiterlebt.
Some religions teach that the soul lives on for eternity.
eternity
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eternity
A state or period of time without beginning and without end; infinite duration.
Manche Religionen lehren, dass die Seele für die Ewigkeit weiterlebt.
Some religions teach that the soul lives on for eternity.

ages
Colloquially, a very long period of time that feels endless.
Wir haben eine Ewigkeit im Stau gestanden.
We were stuck in traffic for ages.
'Die Ewigkeit' (eternity) is derived from the adjective 'ewig' (eternal). The ending '-keit' is a typical way to form abstract, feminine nouns from adjectives that describe a state or quality.
Manche Menschen glauben an ein ewiges Leben nach dem Tod.
Some people believe in eternal life after death.
In the philosophical or religious meaning, 'Ewigkeit' (eternity) is often used in fixed expressions such as 'für die Ewigkeit' (for eternity) or 'bis in alle Ewigkeit' (for all eternity).
Diese alten Steinbauten scheinen für die Ewigkeit gemacht zu sein.
These old stone buildings seem to have been made for eternity.
The use of 'Ewigkeit' (eternity) for a very long but limited period of time is colloquial and exaggerated. It is often used to express impatience or the length of a wait.
Der Bus hat heute Morgen eine Ewigkeit auf sich warten lassen.
The bus took ages to arrive this morning.
In the colloquial meaning, the indefinite article 'eine' (an/a) is almost always used. Typical verbs in this context are 'dauern' (to last/take) or 'warten' (to wait).
Es hat eine Ewigkeit gedauert, bis ich endlich einen Parkplatz gefunden habe.
It took ages before I finally found a parking space.
infinity
Both words can express a seemingly or actually endless duration. „Die Ewigkeit“ mainly refers to time and is also used for a very long period that feels endless. „Die Unendlichkeit“ is more general and can additionally refer to space, quantities, or other forms of limitlessness.

Nach dem langen Warten kam es mir wie eine Ewigkeit vor.
After the long wait, it felt like an eternity to me.
Beim Blick in den klaren Nachthimmel dachte sie über die Unendlichkeit des Weltraums nach.
As she gazed at the clear night sky, she thought about the infinity of outer space.