# Answers to Knot IV explained — A Tangled Tale

> Chapter companion for A Tangled Tale by Lewis Carroll.

## What happens

The chapter presents the solution to a mathematical problem involving five sacks with given pairwise and triple weights, solved via arithmetic. The author then categorizes and comments on the ninety-seven answers received, praising concise solutions and critiquing guesswork or overly complex methods, while also naming and classifying competitors.

## Themes in this chapter

### Mathematical Reasoning

The chapter centers on solving simultaneous equations arithmetically and evaluating the clarity and method of submitted solutions.

### Competition and Achievement

The author ranks solvers into classes based on the neatness and correctness of their answers, fostering a competitive spirit.

### Humor and Absurdity

The author uses playful commentary, such as comparing mathematical calculation to 'catching a flea' and lamenting a wrong answer with mock-tragic language.

## Character check-ins

### Vis Inertiæ

Listed among Class I solvers for a short and neat answer.

### Dinah Mite

Listed among Class I solvers for a short and neat answer.

### Kgovjni

Listed among Class I solvers for a short and neat answer.

### Simple Susan

Listed among Class I solvers for a short and neat answer.

### Guy

Listed among Class I solvers for a short and neat answer.

### Winifred

Criticized for assuming a starting-point guess that No. 1 weighed 5½ lbs.

## Key lines

> In guessing a conundrum, or in catching a flea, we do not expect the breathless victor to give us afterwards, in cold blood, a history of the mental or muscular efforts by which he achieved success; but a mathematical calculation is another thing.

While we don't ask a puzzle-solver or flea-catcher to explain their method, a math problem requires a clear demonstration of reasoning.

_The author distinguishes between casual guessing and rigorous mathematical work._

> To be thus 'alone in the crowd' is a distinction—a painful one, no doubt, but still a distinction.

Being the only one to give a wrong answer is a unique, if painful, kind of recognition.

_The author offers a mix of sympathy and gentle mockery to the sole incorrect solver._

## Links

- HTML: https://www.betterreads.online/discover/a_tangled_tale_se/chapters/answers-to-knot-iv
- Book: https://www.betterreads.online/discover/a_tangled_tale_se
- All chapters: https://www.betterreads.online/discover/a_tangled_tale_se/chapters