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What does "the arc of the moral universe is long but it bends toward justice" (said by Martin Luther King) mean in terms of the actual meaning of the word "arc?" I mean, I understand that Dr. King meant that justice was a long time coming more or less but would arrive eventually.

What I don't get is why this hypothetical path of evolving justice is an arc, that is, a portion of the circumference of a circle.

If you started at the beginning of any arbitrary segment of a circumference the curve would begin at a low point, rise to a high point, then descend to the identical original level, if you consider the arc to have been cut out of the circumference and examined on a line with which it intersects only at its beginning and ending point (like a rainbow on the horizon). This configuration is typically the conception of an arc, for example, in cathedrals, in bridges (if you will allow that an arch is the architectural implementation of an arc).

This would be a metaphor for a world beginning with no justice, rising/evolving to widespread justice, then descending to chaos and brutality again.

Am I being obtuse or is there some problem with the metaphor and it is simply not mentioned?

  • So Martin Luther King's use of metaphor doesn't work for you in this case, then? Note that the collocation moral arch was probably far from unknown to him. He just creatively added another layer of metaphor to what was already there. – FumbleFingers Aug 16 '16 at 0:56
  • @Aaron Gullison Thanks for the punctuation edit. I pasted "Does the metaphor of an arc capture the evolution of justice?" into the subject but for some reason I had to login again and didn't notice the inadvertent change. – Dalton Bentley Aug 16 '16 at 20:30
  • @FumbleFingers I personally don't visualize a curve approaching a vertical asymptote when I hear the word "arc." Thanks to JEL I could view Theodore Parker's 1853 original use of the metaphor (and King's 1958 quote subsequently), which suggests from complete context a vertical ascending arc. My 1913 Webster's refers to L. arcus or bow, with sense 1. (Geom) portion of a curved line...of a circle... 2. ...colored arc (the rainbow)...4. ...apparent arc described...by the sun. I suppose 1 Corinthians 2:14 applies, i.e., I should be using spirit, not intellect. – Dalton Bentley Aug 17 '16 at 15:45
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The short answer is that the "arc of the moral universe" has nothing whatever to do with "the evolution of justice". "Justice", in the 19th century original of the quote as in King's paraphrase, is infinite, a constant: the "justice" referred to does not evolve.

God has made man with the instinctive love of justice in him, which gradually gets developed in the world. But in Himself justice is infinite. This justice of God must appear in the world, and in the history of men; ....

Look at the facts of the world. You see a continual and progressive triumph of the right. I do not pretend to understand the moral universe, the arc is a long one, my eye reaches but little ways. I cannot calculate the curve and complete the figure by the experience of sight; I can divine it by conscience. But from what I see I am sure it bends towards justice.

(From Ten Sermons of Religion, Theodore Parker, 1853, pp. 84-5.)

In context, it is apparent that "moral universe" is a metaphor for human history. The 'arc', then, is a rising curve, representing the "triumph of the right", the human ascension to heaven and human participation in the infinite justice of God:

arcrising

That King was quoting an aphorism that arose from Parker's original use, if not paraphrasing Parker directly, seems well-established by the series of attestations of the phrase in various forms given by Quote Investigator: Exploring the Origins of Quotations, in the article titled "The Arc of the Moral Universe Is Long, But It Bends Toward Justice". As mentioned in the Quote Investigator article, a use of the phrase by King in 1958 shows King himself quoted the phrase:

Evil may so shape events that Caesar will occupy a palace and Christ a cross, but that same Christ arose and split history into A.D. and B.C., so that even the life of Caesar must be dated by his name. Yes, “the arc of the moral universe is long, but it bends toward justice.” There is something in the universe which justifies William Cullen Bryant in saying, “Truth crushed to earth will rise again.”

(Quote from The Gospel Messenger, "Out of the Long Night by Martin Luther King, Jr.", 8 Feb 1958.)

An image from that source:

kingquote

The sense of 'arc' in King's use is metaphorical; the entire phrase might be restated as "[divine] justice will triumph in human affairs".

  • That was an excellent piece of research and explanation. I believe you have put my disturbed mind to rest as regards this phrase. I must admit the upside down arc, i.e., the ascending curve, did not come to mind with the simple reference to arc for me (I think I always thought in terms of ballistic trajectories, now that I think of it, e.g., a basketball, a rock, etc.). I'm not sure I would separate moral universe from God (and justice), but I agree that an attribute of God should not evolve (if you even permit attributes, but that is more a matter of philosophy). – Dalton Bentley Aug 16 '16 at 20:27
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As Newton will tell you, things in constant motion tend to remain at constant motion and in a straight line. It takes an outside force to make things move in curves. For planets, that's the sun's gravitational force. For MLK, it's the influence of justice on path of human events.

  • Great, another driveby downvoter. I'm too tired to pronounce the traditional anathema. – deadrat Aug 16 '16 at 8:37
  • I like the physics analogy. I must admit that I immediately thought of a basketball in its trajectory after it leaves the hands of the player making an outside jump shot and arcs beautifully through space, bending with gravity to arrive at the basket. – Dalton Bentley Aug 16 '16 at 20:21
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Your fundamental error rises from defining an arc as "a portion of the circumference of a circle". Instead, an arc is simply a portion of a curve. Dictionary.com, for instance, defines an arc (in the geometrical sense) as "any unbroken part of the circumference of a circle or other curved line." And this site refers to arcs as being parabolic or hyperbolic, and here is a discussion of arcs that talks about creating an arc with a Bezier curve.

What all these uses have in common is the description of a curved path. King's imagery, as many good examples do, calls to mind at least two entirely different phenomena, and applies both to the same point.

First, a geometric curve. King is describing the development of moral justice, and this is hardly a short or straight path. How to characterize such a path? Since "straight line" is not on the table, "arc" works splendidly. Consider an alternative - "The wiggly, squiggly path of the moral universe" simply doesn't have the resonance that "arc" confers.

Second, as Joel Grant points out, the phrase "story arc" seems an entirely apropos connection, as the development of moral justice is readily seen as a long, convoluted story.

  • The standard or most typical usage of arc is in reference to a segment of the circumference of a circle, but if you qualify it, e.g., "arc of a parabola," that indeed also describes a segment of curve. My own choice of metaphor would have been (though JEL's excellent discussion makes it clear that the reference by King was to Parker's sermon and so maintained that metaphor) something that called to mind an increasing slope unambiguously curving upward, e.g., "the climb to justice" ("I've been to the mountain?", as did many prophets). – Dalton Bentley Aug 16 '16 at 20:18
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When I think of this quote, I think of the word 'arc' more like a story line than a curve. The energy driving the story of the moral universe is justice.

  • Arc of a story line, the story of the moral universe: Nicely put. – Dalton Bentley Aug 16 '16 at 20:32
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Instead of thinking of a half-circle, think of a line. As the line moves forwards, a lodestone pulls the line awry, slowly adding a curve, and then deepening it, skewing the line's path always towards itself, until the line is pointed straight towards the lodestone, no matter which way it originally intended to run. Imagine justice as the lodestone, and the line - human history, human society, something like that.

So I think, rather than the evolution of justice, or an arc towards (and then away from) justice, the arc was intended to represent human history, human intention, human planning - the progression of society through time. Justice, in this metaphor, slowly pulls the line out from its previous course, bending it towards a more moral path regardless of what direction it was trying to head before. The "moral arc of the universe", is then the result of such bending. It is the visual representation that the universe keeps trying to twist in favor of what is more just.

The meaning of the phrase, then, is that people (generically) intend society to go on as it always has, in the same direction it has always been going - which tends to be beneficial for some and terrible for others - but he sees that change should slowly tend towards justice regardless of what they want. He believes that the universe itself prefers justice over injustice, and that over time, that preference will pull the course of history from its previous path towards a more just one. The line is curved, because people are stubborn and will chose what benefits them rather than heading straight for justice to all - but it is also curved because the moral arc of the universe keeps bending the course back towards something better.

  • That is a very clever explication of the concept of bending towards justice. – Dalton Bentley Aug 16 '16 at 20:20

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