Infinity or infinity means a span of space or time that is limitless, without a beginning or end--
Many people believe that space and infinity are the same thing.
The mathematical symbol for infinity looks like a sideways "8".
Infinity may also mean a boundless quantity or endless supply--
The number of grains of sand on the beach approaches infinity; it would not be possible to actually count them.
Affinity or affinity means a natural attraction or special liking for something or someone--
He's always had an affinity for the great outdoors; he feels at home in it.
He has an affinity for anyone who admires his garden.
Affinity may also mean a likeness or agreement between two things--
They have an affinity for one another, like ketchup and fries.
Now that you know that, you can say--
"They share an affinity for endless discussions of space and infinity."
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