Enumerating Points: Firstly, Secondly, Lastly

💡 TL;DR 🎯 Enumeration — listing points in formal sequence — is a critical Korean formal speech skill. This lesson teaches firstly/secondly/lastly expressions, how to signal the number of points upfront, how to transition between points, and how to close the list powerfully.

📌 Helper Note 🗒️ Korean enumeration in formal speech has a set architecture: announce the count (세 가지를 말씀드리겠습니다) → enumerate with ordinals (첫째, 둘째, 셋째) → close with 마지막으로 and a unifying summary statement. This structure signals preparation and clarity to any Korean-speaking audience.

🔑 Big Picture

📊 Enumeration architecture:

Step	Korean signal	Function
Announce count	세 가지 말씀드리겠습니다	Sets expectation
First	첫째 / 첫 번째로	Opens the list
Second	둘째 / 두 번째로	Continues
Last	마지막으로	Signals final point + weight
Unify	이 세 가지를 종합하면	Closes and integrates

🧩 Core Concepts

📋 Count Announcement

🔢 Ordinal Enumeration

🔗 Point Transition Phrases

🎯 Closing the List

✅ Exam Strategy

✔️ Always announce the count BEFORE enumerating (세 가지를 말씀드리겠습니다)

✔️ 첫째/둘째/셋째 = formal; 첫 번째로/두 번째로 = also formal, slightly softer

✔️ 마지막으로 = the signal that weight is coming — audiences lean in

✔️ 이 ~가지를 종합하면 = the synthesis close that makes the list feel complete

⚠️ Pitfalls

😬 Enumerating without announcing the count — audiences don't know how many points are coming

😬 "그리고 또..." repeatedly — colloquial; in formal speech, use 둘째, 셋째

😬 마지막으로 followed by more points — only ONE point after 마지막으로

😬 No synthesis — ending at the last point without 이 세 가지를 종합하면 leaves the list feeling incomplete

🗣️ Dialogue Patterns

Pattern 1 — Count announcement:

오늘은 세 가지 핵심 사항을 말씀드리겠습니다.

Pattern 2 — Opening the list:

첫째, ~입니다. 둘째, ~입니다.

Pattern 3 — Closing the list:

마지막으로, ~입니다.

Pattern 4 — Synthesis:

이 세 가지를 종합하면, ~라고 할 수 있습니다.

🧠 Nuance Bank

🔖 Try this exercise

Q1. The first step in formal Korean enumeration is:

① Start listing immediately

② Announce the count: "세 가지를 말씀드리겠습니다"

③ Say 마지막으로 first

④ Ask if the audience is ready

Answer

② — Count announcement first: 세 가지를 말씀드리겠습니다 = I will share three things. Sets expectation and signals structure before the list begins.

Q2. The formal Korean word for "Firstly" is:

① 처음에는

② 첫째 / 첫 번째로

③ 먼저 (casual, not enumeration)

④ 시작으로

Answer

② — 첫째 = firstly (most formal, single syllable). 첫 번째로 = firstly (formal, slightly more explicit). Both are used in formal enumeration.

Q3. "마지막으로" signals to the audience that:

① More points are coming

② The final point is arriving — audiences tend to pay heightened attention

③ The presentation is over

④ A summary is coming immediately

Answer

② — 마지막으로 = lastly/finally. Signals the final enumerated point. Audience attention increases because they know this is the last — make it memorable.

Q4. After completing the list, you synthesize with:

① 감사합니다

② 이 세 가지를 종합하면, ~라고 할 수 있습니다

③ 이상입니다

④ 끝입니다

Answer

② — 이 세 가지를 종합하면 = combining/synthesizing these three... The integrative close that makes the enumerated points feel like a unified whole.

Q5. The formal transition from second to third point uses:

① "그리고 또..."

② "셋째," or "세 번째로,"

③ "다음이요,"

④ "그리고요,"

Answer

② — 셋째 or 세 번째로 = the formal ordinal transition to the third point. "그리고 또" and "그리고요" are colloquial — avoid in formal enumeration.

Q6. "크게 세 부분으로 나눌 수 있습니다" is a more sophisticated count announcement because:

① It uses a formal number

② It frames the division as structural/categorical, not just sequential — "this can be divided into three main parts"

③ It adds more points

④ It's shorter

Answer

② — 크게 세 부분으로 나눌 수 있습니다 = this can be divided into three main parts. More structural than simple counting — suggests the division is meaningful, not arbitrary.

Q7. 덧붙여 말씀드리면 is used to:

① Replace a numbered point

② Add an optional supplementary point — not part of the main enumeration but a useful addition

③ Summarize

④ Close the presentation

Answer

② — 덧붙여 말씀드리면 = additionally/furthermore, let me add... An optional supplementary point that doesn't disrupt the numbered structure.

Q8. "두 가지 측면에서 살펴보겠습니다" means:

① I will look at this from one angle

② I will examine this from two aspects — framing two-point enumeration

③ I have two conclusions

④ I will describe two problems

Answer

② — 두 가지 측면에서 살펴보겠습니다 = I will examine from two aspects. 측면 = aspect, angle. The two-perspective enumeration frame.

Q9. "이와 관련하여" between points signals:

① A new, unrelated point

② A point that relates to or extends the previous point

③ The closing synthesis

④ A counterexample

Answer

② — 이와 관련하여 = in relation to this / regarding this. Signals the new point connects to the previous one — used when points build on each other.

Q10. "이상 세 가지로 정리할 수 있습니다" closes the enumeration by:

① Adding a fourth point

② Signaling completion — "these can be summarized as three points" — the formal close

③ Asking for questions

④ Restating the first point

Answer

② — 이상 세 가지로 정리할 수 있습니다 = these can be summarized as three points. 이상 = the above / this is all. The formal list-completion close.

🛠️ Speaking Formula

📊 Enumeration Formula:

[세 가지를 말씀드리겠습니다] → [첫째, ~입니다] → [둘째, ~입니다] → [마지막으로, ~입니다] → [이 세 가지를 종합하면, ~라고 할 수 있습니다]

📌 Remember

🌟 Announce count FIRST: 세 가지를 말씀드리겠습니다

🌟 첫째/둘째/셋째 = formal ordinal series

🌟 마지막으로 = final point signal — make it your best point

🌟 이 세 가지를 종합하면 = the synthesis close

🌟 Never say 마지막으로 unless it IS the last

🎯 Practice Hub

1. In formal Korean speech, the count announcement comes:

① After all the points

② BEFORE the first point — "세 가지를 말씀드리겠습니다" sets expectation

③ After the second point

④ At the very end

Answer

② — Count BEFORE content. 세 가지를 말씀드리겠습니다 → 첫째 → 둘째 → 마지막으로 → 종합 = the complete enumeration architecture.

2. 이어서 in formal Korean means:

① Lastly

② Moving on / continuing — the inter-point transition

③ In conclusion

④ Furthermore

Answer

② — 이어서 = moving on, continuing (from this point). Used to transition between enumerated points that flow naturally.

3. "핵심 포인트는 다음 네 가지입니다" announces:

① Three points

② Four key points — 네 가지 = four things

③ Five points

④ Two points

Answer

② — 네 가지 = four things. 핵심 포인트는 다음 네 가지입니다 = the key points are the following four.

4. The MOST impactful point in a formally enumerated list should be placed:

① First

② Last — 마지막으로 signals the final point, and audiences retain the last item best

③ Second

④ Middle

Answer

② — The final position (마지막으로) receives heightened audience attention and best retention. Place your strongest, most memorable point last.

5. "이 세 가지를 종합하면" is most effective when:

① The points are unrelated

② The synthesis reveals a connection between the points that wasn't obvious when each was stated alone

③ You want to list the points again

④ You're running short on time

Answer

② — The best synthesis doesn't just restate — it reveals the unifying insight: "이 세 가지를 종합하면, 결국 [unified insight]라고 할 수 있습니다."

6. "다음으로" means:

① Lastly

② Next — used to move to the following point

③ In conclusion

④ Additionally

Answer

② — 다음으로 = next. Similar to 이어서 but more explicitly sequential. 다음으로, 두 번째 사항은 ~입니다.

7. The most common mistake in Korean formal enumeration is:

① Saying 마지막으로 only once

② Saying 마지막으로 and then listing two more points afterward

③ Using 첫째 and 둘째

④ Using the synthesis close

Answer

② — 마지막으로 = lastly. If you say 마지막으로 and then list two more points, you've violated the structural contract with the audience.

8. "첫째" differs from "먼저" in formal enumeration in that:

① They mean the same

② 첫째 is an ordinal for enumeration (first in a numbered sequence); 먼저 = first in time/sequence but not for formal numbered lists

③ 먼저 is more formal

④ 첫째 can only be used in written contexts

Answer

② — 첫째 = first (ordinal in a formal enumerated list). 먼저 = first (temporal sequence: "먼저 이것을 하겠습니다"). In formal enumeration, use 첫째/둘째/셋째.

9. "마지막으로 강조하고 싶은 것은" is more impactful than just 마지막으로 because:

① It's longer

② It explicitly signals heightened importance: "what I WANT TO EMPHASIZE lastly" — raises audience attention

③ It introduces a new topic

④ It's grammatically required

Answer

② — 마지막으로 강조하고 싶은 것은 = what I most want to emphasize lastly is — the emphasis marker that tells the audience: pay special attention to this.

10. The formal Korean enumeration formula is:

① Point → Point → Conclusion

② [Count announcement] → [첫째] → [둘째] → [마지막으로] → [이 ~가지를 종합하면] → [Unifying conclusion]

③ 그리고 → 그리고 → 그리고

④ 하나 → 둘 → 셋

Answer

② — Count announcement + ordinal series (첫째/둘째/마지막으로) + synthesis close = the complete formal Korean enumeration formula.

11–50. (Extended drilling)

11. 종합 in 이 세 가지를 종합하면 means:

① To list again

② To synthesize / combine — bringing separate points together into a unified insight

③ To summarize briefly

④ To conclude

Answer

② — 종합 = synthesis, combining. 종합하면 = synthesizing/combining these → then the unified insight. More than just summary — reveals the connection.

12. When using four points, the count announcement is:

① 세 가지를 말씀드리겠습니다

② 네 가지를 말씀드리겠습니다

③ 다섯 가지를 말씀드리겠습니다

④ 두 가지를 말씀드리겠습니다

Answer

② — 네 가지를 말씀드리겠습니다 = I will share four things. 하나 (1), 둘 (2), 셋 (3), 넷 (4), 다섯 (5) → 한/두/세/네/다섯 + 가지.

13. "덧붙여 말씀드리면" appears in the enumeration architecture:

① Before 첫째

② After the main enumerated points, as an optional supplementary addition

③ Instead of 마지막으로

④ At the very beginning

Answer

② — 덧붙여 말씀드리면 = additionally/let me add... It comes AFTER the main numbered list as an optional extra, not as a numbered point.

14. "결론적으로" is used to:

① Open the enumeration

② Signal the final synthesis/conclusion — "in conclusion"

③ Introduce the second point

④ Open the count announcement

Answer

② — 결론적으로 = in conclusion. Used to open the final synthesizing statement. 결론적으로, 이 세 가지는 모두 ~라는 공통점을 가지고 있습니다.

15. The audience benefit of announcing the count (세 가지를 말씀드리겠습니다) is:

① It impresses them with numbers

② It sets a mental framework — the audience knows how many points are coming and can track progress

③ It's required by Korean grammar

④ It sounds formal

Answer

② — Count announcement = cognitive map for the audience. They know there are 3 points, track progress (1 of 3, 2 of 3, 3 of 3), and feel satisfied when the sequence is complete.

16. "이상 세 가지로 정리할 수 있습니다" is different from "이 세 가지를 종합하면" in that:

① They're identical

② 이상 세 가지로 정리할 수 있습니다 = simple completion close ("that's all three points"); 이 세 가지를 종합하면 = synthesizing close (what the three points MEAN together)

③ 이상 세 가지로 정리할 수 있습니다 is more formal

④ 이 세 가지를 종합하면 is only for conclusions

Answer

② — 이상 세 가지로 정리할 수 있습니다 = completion ("that's all three"). 이 세 가지를 종합하면 = synthesis ("what these three mean together"). Use synthesis for maximum impact.

17. In a two-point structure, after 첫째 and 둘째 you say:

① 셋째

② 이 두 가지를 종합하면 — the synthesis close for two points

③ 마지막으로 (reserve this for three or more)

④ 이어서

Answer

② — For two points: 첫째 + 둘째 → 이 두 가지를 종합하면. 마지막으로 typically signals the final point in a longer list; for just two points, go straight to synthesis.

18. "다음으로" vs. "이어서" — when do you use each?

① They are interchangeable

② 다음으로 = more explicitly sequential ("the next item"); 이어서 = more fluid/continuous ("continuing from this"). Both work for inter-point transitions.

③ 이어서 is more formal

④ 다음으로 is for conclusions

Answer

② — 다음으로 = next (more explicit sequence). 이어서 = continuing (more fluid, less structured). Both are formal inter-point transitions.

19. "세 가지 모두 ~라는 공통점이 있습니다" in the synthesis close signals:

① The three points are contradictory

② A unifying theme — all three points share ~

③ A summary of the first point

④ A fourth point

Answer

② — 세 가지 모두 ~라는 공통점이 있습니다 = all three share the commonality of ~. The synthesis move that reveals the unifying insight linking all the points.

20. The most powerful enumeration close combines:

① 마지막으로 → 감사합니다

② 마지막으로 [strongest point] → 이 세 가지를 종합하면 [unifying insight] → 결론적으로 [call to action or reflection]

③ 셋째 → 감사합니다

④ 이상입니다 → 감사합니다

Answer

② — Final point (strongest) + synthesis (what they mean together) + conclusion (call to action/reflection) = maximum enumeration close impact.

21–50. (Final drill)

21. 측면 in 두 가지 측면에서 살펴보겠습니다 means:

① Direction

② Aspect / angle / side — "from two aspects/angles"

③ Perspective

④ Viewpoint

Answer

② — 측면 = aspect, side, angle. 두 가지 측면에서 살펴보겠습니다 = I will examine from two aspects/angles.

22. Why does 마지막으로 receive more audience attention than earlier ordinals?

① It's louder

② It signals conclusion — audiences naturally refocus for the final point; primacy and recency effects

③ It's longer

④ Korean speakers prefer final points

Answer

② — Recency effect: the last item in a list is remembered best. Plus: 마지막으로 is a verbal cue that refocuses wandering attention — "here it comes."

23. "이 두 가지가 서로 어떻게 연결되는지" in a two-point synthesis explores:

① How the points differ

② The connection/relationship between the two points — the relational synthesis

③ Which point is better

④ What comes next

Answer

② — 이 두 가지가 서로 어떻게 연결되는지 = how these two connect to each other. The relational synthesis that shows the two points aren't isolated facts but parts of one picture.

24. "크게" in 크게 세 부분으로 나눌 수 있습니다 means:

① Loudly

② Broadly / in broad strokes — "broadly speaking, this divides into three parts"

③ Importantly

④ Obviously

Answer

② — 크게 = broadly, in broad strokes. 크게 세 부분으로 나눌 수 있습니다 = broadly, this can be divided into three parts. Signals high-level structural division.

25. "이와 관련하여" is most appropriate when:

① The next point is unrelated to the previous

② The next point extends, relates to, or is connected to the previous one

③ You're closing the list

④ You're introducing the count

Answer

② — 이와 관련하여 = in relation to this / regarding this. Used when the new point CONNECTS to the previous — a relational inter-point transition.

26. "마지막으로 강조하고 싶은 것은 ~입니다" is most effective when:

① The final point is simple and obvious

② The final point is the most important and deserves special audience attention

③ You want to add an optional note

④ You're summarizing

Answer

② — 마지막으로 강조하고 싶은 것은 ~입니다 = what I most want to emphasize lastly is ~. Reserve this for the most crucial, memorable, or action-driving final point.

27. "이 세 가지는 하나의 방향을 가리키고 있습니다" in the synthesis means:

① The three points contradict each other

② All three points point toward the same direction — the convergence synthesis

③ The three points are equal in importance

④ Only one point is correct

Answer

② — 이 세 가지는 하나의 방향을 가리키고 있습니다 = these three all point in one direction. The convergence synthesis — individual points cohere into a single directional insight.

28. "네 번째로" is the formal equivalent of:

① 셋째

② Fourthly / Fourth — the fourth ordinal in the formal series

③ 마지막으로

④ 다음으로

Answer

② — 네 번째로 = fourthly. 첫 번째로 / 두 번째로 / 세 번째로 / 네 번째로 / 마지막으로 = the formal ordinal series using 번째.

29. The purpose of "이상 세 가지를 말씀드렸습니다" vs. "이 세 가지를 종합하면" at the close:

① They are interchangeable

② 이상 세 가지를 말씀드렸습니다 = simple completion ("I've covered three points"); 이 세 가지를 종합하면 = synthesis ("here's what they mean together"). Use synthesis for impact.

③ 이상 세 가지를 말씀드렸습니다 is more formal

④ Synthesis is only for academic contexts

Answer

② — Completion close = "I've finished." Synthesis close = "here's what it all means." Synthesis always carries more value — it reveals the insight the list builds toward.

30. The complete formal Korean enumeration formula is:

① 그리고 × n → 감사합니다

② [세 가지를 말씀드리겠습니다] → [첫째, ~] → [둘째, ~] → [마지막으로, ~] → [이 세 가지를 종합하면, ~] → [결론적으로 ~]

③ 하나둘셋 → 감사합니다

④ Point → Point → 끝

Answer

② — Count announcement → ordinals → majimageuiro (final) → synthesis → conclusion = the complete formal Korean enumeration formula.

31–50. (Final drill)

31. 가지 in 세 가지 is a:

① Number

② Counter — the counter for abstract items/points (things)

③ Particle

④ Verb

Answer

② — 가지 = counter for types/kinds/points (abstract items). 세 가지 = three items/types/points. 한 가지 = one item. Used with abstract or categorically distinct items.

32. Which phrase is the MOST formal way to announce four points?

① "네 개 말할게요."

② "핵심 포인트는 다음 네 가지입니다."

③ "네 가지요."

④ "4개 있어요."

Answer

② — 핵심 포인트는 다음 네 가지입니다 = the key points are the following four. 핵심 포인트 + 다음 네 가지입니다 = formal, organized, professional.

33. "이 두 가지 측면을 함께 고려할 때" in a two-point synthesis means:

① When looking at either one

② When considering both aspects together — the combined-lens synthesis

③ Choosing between the two

④ Listing them again

Answer

② — 이 두 가지 측면을 함께 고려할 때 = when considering both aspects together. The combined synthesis that integrates the two-point structure.

34. "그리고 또" repeatedly in formal enumeration sounds:

① Professional

② Colloquial and unprepared — use 둘째, 셋째 instead

③ Sophisticated

④ Like an additional point

Answer

② — 그리고 또 = "and also" — colloquial list connector. In formal speech, replace with ordinals: 둘째, 셋째.

35. When you have exactly two points, you use:

① 첫째 + 둘째 + 마지막으로

② 첫째 + 둘째 (or 마지막으로 for the second in a two-point list)

③ Only 첫째

④ Only 마지막으로

Answer

② — With two points: 첫째 + 둘째. Optionally, 마지막으로 can replace 둘째 for the second point in a two-point list since it IS the last.

36. "이 세 가지를 종합하면, 결국 ~라고 할 수 있습니다" is most powerful when:

① The synthesis restates all three points

② The synthesis delivers a NEW unified insight — something the individual points didn't state explicitly

③ The synthesis is very long

④ The synthesis introduces a fourth point

Answer

② — The best synthesis doesn't restate — it synthesizes INTO a new insight: "이 세 가지를 종합하면, 결국 우리가 말하는 것은 ~이다" — the insight the list has been building toward.

37. "부분" in 세 부분으로 나눌 수 있습니다 means:

① Type

② Part / section — structural division

③ Point

④ Factor

Answer

② — 부분 = part, section. 세 부분으로 나눌 수 있습니다 = can be divided into three parts/sections. More structural than 세 가지 (three items) — implies divisions of a whole.

38. The MOST complete formal enumeration sentence for a four-point list is:

① "네 가지요."

② "오늘은 네 가지 핵심 사항을 말씀드리겠습니다. 첫째, 둘째, 셋째, 마지막으로... 이 네 가지를 종합하면..."

③ "네 가지 있어요."

④ "첫째부터 넷째까지예요."

Answer

② — Count announcement + 첫째/둘째/셋째/마지막으로 + 이 네 가지를 종합하면 = the complete four-point formal enumeration.

39. When the second point BUILDS ON the first, the best transition is:

① 둘째

② 이와 관련하여, 둘째로... — signals the connection before introducing the new ordinal

③ 다음으로

④ 이어서

Answer

② — 이와 관련하여 + 둘째로 = "in relation to this, secondly" — the transition that signals points are connected, not isolated.

40. The formula for a synthesis that reveals a unifying theme is:

① "이상입니다."

② "이 ~가지를 종합하면, 결국 모두 ~라는 하나의 핵심을 가리키고 있습니다."

③ "첫째, 둘째, 셋째를 다시 말씀드리면..."

④ "감사합니다."

Answer

② — 이 ~가지를 종합하면 + 결국 모두 ~라는 하나의 핵심을 가리키고 있습니다 = synthesizing and revealing the unified core theme all points point toward.

41. 정리 in 이상 세 가지로 정리할 수 있습니다 means:

① To expand

② To organize / summarize / put in order

③ To conclude

④ To synthesize

Answer

② — 정리 = organizing, summarizing, putting in order. 이상 세 가지로 정리할 수 있습니다 = the above can be organized/summarized into three points.

42. The most powerful POSITION for your strongest argument in a three-point enumeration is:

① First

② Last (마지막으로) — due to recency effect and audience attention spike

③ Second

④ All positions are equal

Answer

② — 마지막으로 = the peak attention moment. Recency effect (last item remembered best) + audience refocus on 마지막으로 = maximum impact position.

43. "이 세 가지는 상호 보완적입니다" in synthesis means:

① The three points contradict each other

② The three points are mutually complementary — each reinforces the others

③ Only one point matters

④ The points are independent

Answer

② — 상호 보완적 = mutually complementary. 이 세 가지는 상호 보완적입니다 = these three mutually complement each other — the interconnected synthesis.

44. "이상" in 이상 세 가지를 말씀드렸습니다 means:

① From below / above

② The above / that's all — signaling completion

③ More than

④ Summary

Answer

② — 이상 = the above (referring to what was just said) / "that's all." 이상 세 가지를 말씀드렸습니다 = that's all for the three points I mentioned.

45. Which phrase explicitly invites the audience to track the enumeration?

① "세 가지가 있어요."

② "오늘 세 가지 핵심 사항을 말씀드리겠습니다. 첫째부터 시작하겠습니다."

③ "말씀드릴게요."

④ "설명해 드릴게요."

Answer

② — 오늘 세 가지 핵심 사항을 말씀드리겠습니다 (count: 3) + 첫째부터 시작하겠습니다 (starting from the first) = explicit invitation to track the enumeration.

46. "이 두 가지를 함께 보면" in a two-point synthesis does what?

① Restates both points

② Asks the audience to hold both in mind simultaneously — the combined lens

③ Compares the two points

④ Adds a third point

Answer

② — 이 두 가지를 함께 보면 = if we look at these two together. The combined-lens synthesis move.

47. Which is the MOST sophisticated synthesis close for three points?

① "이상입니다."

② "이 세 가지를 종합하면, 결국 우리가 추구해야 할 방향은 ~이라는 것을 알 수 있습니다."

③ "첫째, 둘째, 셋째를 말씀드렸습니다."

④ "감사합니다."

Answer

② — 이 세 가지를 종합하면 (synthesis signal) + 결국 우리가 추구해야 할 방향은 ~이라는 것을 알 수 있습니다 (the actionable directional insight) = maximum sophistication.

48. 공통점 in 이 세 가지의 공통점은 ~입니다 means:

① Difference

② Common point / shared characteristic

③ Connection

④ Synthesis

Answer

② — 공통점 = commonality, shared characteristic. 이 세 가지의 공통점은 ~입니다 = the common point among these three is ~.

49. "이 세 가지를 모두 실천하면" in a synthesis close signals:

① A summary of what was said

② A call to action — applying all three points together

③ A warning

④ A repeat of the list

Answer

② — 이 세 가지를 모두 실천하면 = if we practice all three of these. A synthesis call-to-action that closes the enumeration with forward-looking application.

50. The complete enumeration system for formal Korean speech is:

① 그리고 × n → 끝

② [Count announcement] → [첫째/둘째/마지막으로 with content] → [이 ~가지를 종합하면] → [Unifying insight or call to action] + [Optional: 덧붙여 말씀드리면]

③ 하나 → 둘 → 셋 → 끝

④ 포인트 나열 → 감사합니다

Answer

② — Count + ordinal series + synthesis + unifying insight + optional add-on = the complete formal Korean enumeration system.