Translation: A great state should be like the lower course of a river — the place where all the streams under Heaven converge.
Analysis: Governance is likened to water. The larger a river, the lower it sits, and all tributaries naturally flow toward it. A great state should likewise adopt a humble position, so that all quarters of the world naturally gravitate toward it. Wang Bi's commentary states: "江海所以为百谷王者，以善下之。大国以下小国则天下流之" — "The reason rivers and seas can be kings of all the valleys is that they excel at staying below. When a great state humbles itself before small states, all under Heaven flows toward it." This interpretation reveals the core wisdom of great-power diplomacy: winning the world through humility.
Similar views: Chapter 66: "江海所以能为百谷王者，以其善下之" — "The reason rivers and seas can be kings of all the valleys is that they excel at staying below."
Translation: A great state occupies a lowly position and serves as the meeting place of all under Heaven.
Analysis: Heshanggong's commentary states: "大国者天下士民之所交会" — "A great state is the place where scholars and people from all under Heaven converge." A great state is great precisely because it can place itself below — only by occupying a lowly position can it become the center where all people gather. The character "交" (jiāo) carries connotations of Yin and Yang (阴阳) intercourse, foreshadowing the "female" (牝, pìn) principle discussed below.
Similar views: Heshanggong: "大国者天下士民之所交会" — "A great state is the place where scholars and people from all under Heaven converge."
Translation: A great state should be like the female of all under Heaven. The female always overcomes the male through stillness, for stillness means taking the lower position.
Analysis: Laozi uses the metaphor of female and male to illustrate the way of yielding strength in international relations. The female appears weaker than the male, yet by being still and yielding she actually prevails — maternal receptivity and inclusiveness possess greater enduring power than masculine conquest and aggression. A great state should emulate the female's "stillness" and "lowliness" in its international relations. Heshanggong's commentary states: "女所以屈于男者，以安静故能胜男" — "The reason the female submits to the male is that through stillness she can overcome him."
Similar views: Heshanggong: "女所以屈于男者，以安静故能胜男" — "The reason the female submits to the male is that through stillness she can overcome him." Chapter 28: "知其雄，守其雌" — "Know the masculine, but hold to the feminine."
Translation: When a great state humbles itself before small states, it wins the allegiance of the small states; when a small state humbles itself before a great state, it gains the protection of the great state.
Analysis: This is the wisdom of mutually beneficial diplomacy. The great state shows deference → the small state willingly submits; the small state shows respect → the great state is willing to extend protection. Both sides obtain what they desire through "lowering" themselves. Wang Bi's commentary is concise yet profound: "以下则得" — "By lowering oneself, one obtains." Over two thousand years ago, Laozi had already articulated the principle of mutually beneficial international relations.
Similar views: Wang Bi's commentary on this passage summarizes the entire meaning with "以下则得" — "By lowering oneself, one obtains."
Translation: Thus, some actively lower themselves in order to gain allegiance (the great state), while others gain protection because they are naturally in the lower position (the small state).
Analysis: The distinction between "下以取" (xiā yǐ qǔ) and "下而取" (xiā ér qǔ) lies in the difference between active and passive: the great state actively chooses to be humble (以下, yǐ xià — "lowering itself purposefully"), while the small state is naturally in the lower position (而下, ér xià — "being already below"). Yet both benefit as a result. Laozi uses this to demonstrate that whether active or passive, "lowering oneself" is the path to gain.
Similar views: Wang Bi distinguishes the different contexts of great and small states placing themselves below.
Translation: The great state desires nothing more than to embrace and nurture more people; the small state desires nothing more than to join with and gain the protection of the great state.
Analysis: This sentence makes explicit the respective needs of great and small states: the great state needs population and vassals (兼畜人, jiān xù rén — "to embrace and nurture people"), and the small state needs security and protection (入事人, rù shì rén — "to enter into service"). Both obtain what they need through "lowering" themselves. This passage reveals the essence of international relations — states of different sizes have different needs, yet through mutual deference all can be satisfied.
Similar views: Heshanggong explains separately the different objectives of great and small states.
Translation: Both parties can each obtain what they desire, but the greater one should be the first to take the lower position.
Analysis: This is the culminating statement of the entire chapter. Although both great and small states need to practice "lowering" themselves, Laozi specifically emphasizes "大者宜为下" (dà zhě yí wéi xià) — "the greater should take the lower position" — because the great state possesses greater strength and resources, and therefore bears greater responsibility to take the initiative in showing deference. For the strong to voluntarily humble themselves is not a sign of weakness, but a display of true greatness. This idea resonates across the millennia with the modern concept of "great power responsibility" in international relations.
Similar views: Both Wang Bi and Heshanggong emphasize that the greater party should be the first to take the lower position.
This chapter contains 7 interpretation combinations.
[Core Divergences]
Chapter 61 is the most internationally-minded chapter of the Tao Te Ching, proposing a diplomatic philosophy in which great and small states achieve mutual benefit through "lowering" themselves. The chapter begins with the imagery of water flowing downstream, introduces the "female" (牝) principle — stillness, yielding, lowliness — and then analyzes the respective needs and strategies of great and small states. The most brilliant insight comes at the conclusion: "大者宜为下" — Laozi holds that the stronger party should proactively assume the responsibility of deference. This is not weakness, but the true wisdom of a great state. The chapter forms an intertextual pair with Chapter 66 ("江海所以能为百谷王者，以其善下之" — "The reason rivers and seas can be kings of all the valleys is that they excel at staying below"), both using the philosophy of water to expound the art of governance.