Brevity is my favorite aspect of effective communication. We’re limited creatures, only able to handle a few thoughts at once — make them count!

Concise writing helps us share ideas, but we hamstring ourselves by trying to appear “substantial”. Let’s figure out how to avoid this trap.

Benefits of Brevity

Concise, efficient writing has non-obvious benefits:

We maximize information density.

We can hold about 7 digits in memory. Given limited room, a few powerful thoughts are better than a single dilute one.

What’s better: “x is the sum of two times y and three times z” or “x = 2y + 3z”?

Concise thoughts are more understandable. (By the way, math used to be written in English, as above. Egads.)

We respect the reader.

Long-winded diatribes are about the author: listen to me and look at what I know. Effective communication is about the reader: I’ve distilled hundreds of pages to these essential insights.

Information is everywhere, and I can eventually understand a topic by reading dozens of mediocre books. But time is limited — give me the source that communicates the most understanding in the least time.

We communicate raw thought.

Writing isn’t about words, it’s about recreating ideas:

  • Idea in my head → words are written → words are read → idea in your head

With good writing we hear the author’s voice, not our own thoughts deciphering their message. The ideal of communicating raw ideas appears in programming, design, art and even humor (“Brevity is the soul of wit”).

Obstacles to Brevity

If brevity is so desirable, why don’t we do it?

Schoolchild Guilt (aka the 10-page paper)

School assignments ask for pages of text, not ideas. The teacher really wants an essay with 3 meaningful insights, but that’s tough to specify. So instead he asks for a 10-pager, hoping some ideas are buried inside.

The assignment is easily gamed: take a few scattered thoughts, bump up the font and margins, and tada, we have 10 pages. We know this isn’t what the teacher wants, but it satisfies the letter of the law.

An analogy: A king secretly wants treasure. He asks his subjects to bring him a ton of dirt each, hoping for gems inside. They do, and on average there’s a single gem in each pile — but the king spends hours clawing through the dirt.

One day a peasant sees a lone gem on the beach. But because the king asked for dirt (he’ll be punished if he only brings a handful of “stuff”), he buries the gem in an enormous pile and delivers that to the king, who spends hours trying to find the jewel.

Is that what the king wanted? We writers are the peasants that bring material for you to sift through!

Getting Our Money’s Worth

Thought experiment: you see two reference books, one at 100 pages and the other at 200. Do you wonder if the smaller book could be concise and well-written, or do you immediately assume “bigger is better” and reach for the tome?

And that’s why publishers pad their books — we reward those with the most words, not the best ones. It’s akin to judging a portrait by how much paint was used, or a song by its length.

Brevity and Substance

My “brevity” means economy of words, saying what’s necessary and no more. “Necessary” could be a paragraph or 50 pages; either is fine.

The key is delivering gems, not dirt. When writing, you know what you’re providing :).

I still struggle with accepting that it’s ok, nay good, to share a single, concise thought if you think it’s a gem. There’s no need to pad to make it seem “substantial”.

Does anyone think the 278-word Gettysburg address isn’t meaty enough? Should Lincoln have stretched it out a bit?

Expert’s Guilt (The sky is not blue)

Brevity’s enemy is an armada of “helpful” information. Consider this: is the sky blue?

Well, it’s black at night. And orange at sunset/sunrise. And grey when cloudy. In fact, it’s more likely to be non-blue than blue!

My goodness, I could never say “The sky is blue” without a 3-page disclaimer, lest an expert meteorologist have my head.

No. Writing riddled with caveats is like the “Are you sure? Really sure?” dialogs we hate in software: yes, yes, we get it!

Models are simplifications, we all know this: assume an intelligent reader and don’t encumber your writing to satisfy every critic. Corner cases are exactly that, and should live away from the main text.

Examples of Brevity

I learn by reflecting on great examples — what makes them tick?

Computers and Programming

Ruby has wonderful shortcuts for everyday tasks.

value = parameter || getValue() || "default"

Which means “try to use parameter, then try getValue(), and if all else fails assign a default”. Ruby was the first language I felt I was reading without notational cruft getting in the way.

Kernighan and Ritchie’s The C Programming Language is the gold standard of technical manuals. Concise and useful, it has no desire to satisfy some publisher’s pagecount requirement: “C is not a big language, and it is not well served by a big book.”

Don’t Make Me Think! is an excellent usability guide. The title is the summary: keep things brainlessly easy. The book expands with examples, yet remains brief.

The unix command line (“cat foo.txt | sort | uniq -c | sort -rn”) is wonderfully concise and powerful: it’s hard to express the above more simply (output a file, sort the lines, count the unique ones, and sort again by that count in descending order).

Mathematics

As we saw with English vs. arithmetic, expressive notation helps us focus on the idea being conveyed.

Consider the difference between decimal and Roman numerals: how can you use math when it takes 5 minutes to decode MCMXCVII times XLII? Decimal notation is one of our greatest discoveries.

Quotes

Why do we love quotes? They are distilled thoughts! Great quotes help us experience an idea without getting lost in verbiage.

Some favorites:

  • “I have made this letter longer than usual because I lack the time to make it shorter.” –Blaise Pascal (It’s easier to plop down dirt than to dig through and pull out the gems)

  • “Vigorous writing is concise. A sentence should contain no unnecessary words, a paragraph no unnecessary sentences, for the same reason that a drawing should have no unnecessary lines and a machine no unnecessary parts. This requires not that the writer make all his sentences short, or that he avoid all detail and treat his subjects only in outline, but that every word tell.” –William Strunk Jr. (Efficiency is universally appreciated)

Economy of Motion

Great athletes and musicians are efficient. They move less and waste less than the rest of us, and do more with the same amount of time. Concise thoughts require less mental energy to understand.

Headlines

Top 10 lists grab our attention. Why? They imply someone has found the gems: we sifted through dozens of items and are bringing you the best. Unfortunately, these headlines have been abused to mean “Here are 10 random things”.

Cheatsheets

Cheatsheets are pure gems, going from A to B without distraction. The key is knowing the background of your audience. A physics cheatsheet is great for reference, not learning.

Final Thoughts

Reflection helps develop a learning philosophy. I discovered that my fear of not having enough substance was based on measuring dirt. Brainstorming, writing down ideas, and leaving the essentials is more than ok — it’s my ideal.

Remember: is our goal to satisfy a length requirement, impress with our vocabulary, or communicate effectively? Do readers a favor and give ‘em your best gems.

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Other Posts In This Series

  1. Developing Your Intuition For Math
  2. Why Do We Learn Math?
  3. How to Develop a Mindset for Math
  4. Learning math? Think like a cartoonist.
  5. Math As Language: Understanding the Equals Sign
  6. Avoiding The Adjective Fallacy
  7. Finding Unity in the Math Wars
  8. Brevity Is Beautiful
  9. Learn Difficult Concepts with the ADEPT Method
  10. Intuition, Details and the Bow/Arrow Metaphor
  11. Learning To Learn: Intuition Isn't Optional
  12. Learning To Learn: Embrace Analogies
  13. Learning To Learn: Pencil, Then Ink
  14. Learning to Learn: Math Abstraction
  15. Learning Tip: Fix the Limiting Factor
  16. Honest and Realistic Guides for Learning
  17. Empathy-Driven Mathematics
  18. Studying a Course (Machine Learning) with the ADEPT Method