what's a discussion question i could ask about this passage:

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continuous function by NAME_1 and NAME_2 suggests to
the historian a possible common debt to the views of con-
tinuity put forward by the analysts of the eighteenth cen-
tury. A large number of properties related to the modern
concept of continuity were discussed in that period and, at
various times, called by the name continuity. A function
could be called continuous ifit had the intermediate-value
property; ifit was differentiable; ifit was representable by a
unique formula; if it made "no jumps"; or if, given an
"insensible" change in the independent variable, it under-
went only an "insensible" change itself. Sometimes these
properties-which we now regard as distinct-were
viewed as equivalent; sometimes, though sharing a name,
they were seen as different.
The achievement of NAME_1 and NAME_2 was three-
fold. First, they were able to pick out the essential
property-essential in the sense of capable of support-
ing proofs about other properties-of continuous function
from earlier characterizations. Second, once this property
had been chosen, they went beyond earlier language to
give continuity a precise, inequality-based definition.
Finally, they used this defining property as the basis for
proofs of theorems about continuous functions.
The earliest eighteenth-century discussions of properties
of continuous functions were confined to well-behaved
functions. The concept of continuity was appealed to not
to distinguish between continuous and disc