Almost vs. Practically — What's the Difference?

In set theory, when dealing with sets of infinite size, the term almost or nearly is used to refer to all but a negligible amount of elements in the set. The notion of "negligible" depends in the context, and may mean "of measure zero" (in a measure space), "countable" (when uncountably infinite sets are involved), or "finite" (when infinite sets are involved).For example: The set S = { n ∈ N | n ≥ k } {\displaystyle S=\{n\in \mathbb {N} \,|\,n\geq k\}} is almost N {\displaystyle \mathbb {N} } for any k {\displaystyle k} in N {\displaystyle \mathbb {N} } , because only finitely many natural numbers are less than k {\displaystyle k} .

Virtually; almost

Not quite; very nearly

In a practical manner

Slightly short of; not quite; nearly

All but; nearly; almost

Very close to, but not quite.

In a way that is practical

(mathematics) Up to, except for a negligible set where negligible is not universally but contextually defined.

In practice; in effect or actuality, though possibly not officially.

A null set; except for a set of measure 0.

Almost completely; almost entirely

(informal) Something or someone that doesn't quite make it.

With respect to practices or a practice.

Nearly; well nigh; all but; for the greatest part.

In a practical way; not theoretically; really; as, to look at things practically; practically worthless.

(of actions or states) slightly short of or not quite accomplished; `near' is sometimes used informally for `nearly' and `most' is sometimes used informally for `almost';

By means of practice or use; by experience or experiment; as, practically wise or skillful; practically acquainted with a subject.

In practice or use; as, a medicine practically safe; theoretically wrong, but practically right.

Almost.

Almost;

(degree adverb used before a noun phrase) for all practical purposes but not completely;