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One Content, Many Impressions

Fifty notes on how many impressions one set of statements allows

What is met

What a reader actually meets

Contents, as distinct from impressions.

1 to 252

8 notes in this part

Which Statements, Not How Many

Contents counts the distinct subsets a reader can come away with: the smaller of the two main figures, and the one that decides what they know.

Definition

The Widest Point Is the Middle

Contents peaks when a reader has met about half a set and falls away on both sides, which makes the halfway reader the least predictable one.

Analysis

Two Readers With Nothing in Common

On twenty-five of the forty-four pages, two readers of the same statements can share nothing between them. The condition is one comparison.

Recount

The Fraction One Reader Gets

How much of a set a reader reached is a simple fraction and the only quantity here that behaves as intuition expects. What is built on it does not.

Reference

Met and Missed Are the Same Count

Choosing which statements were met is choosing which were missed, so the contents figure mirrors. Two shapes agree on it for opposite reasons.

Recount

Ten Contents, Three Different Pages

The contents figure takes twenty-four distinct values across the record, and the busiest covers twenty-three shapes on unrelated pages.

Caution

The Page With the Most to Go Wrong

Ten published with five met gives two hundred and fifty-two contents, the largest figure here. Eleven shapes sit on that one page.

Analysis

What Both Figures Are Blind To

Three shapes on one page, identical in both main figures, where the count of readings that confirm nothing runs from all seventy to none.

Analysis