the.com/example

A specific thing pretending to explain a general rule.

means A single case pulled out to show what a whole rule or category looks like.

from From Latin exemplum, 'a sample or model to be followed,' itself from eximere meaning 'to take out' (ex- 'out' + emere 'to take'). An example is literally something taken out of the pile to stand for the rest of it.

etymology
from latin exemplum, something taken out to show
logic trap
one example proves possibility, not probability
overuse
for example is the most common escape hatch in arguments
irony
this definition is itself one
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