---
title: "Meaning & Key Takeaway of: Proof, one might say, does not merely…"
description: "\"Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.\" — Ludwig Wittgenstein"
image: "https://sms4smile.com/quotes/i/e0f/ludwig-wittgenstein-582_doe_proof-one-might-say-does-not-merely-shew_316068.png"
---

#  Proof, one might say, does not merely shew that it is like…

![“Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.” quote by Ludwig Wittgenstein](https://sms4smile.com/quotes/i/e0f/ludwig-wittgenstein-582_doe_proof-one-might-say-does-not-merely-shew_316068.png)   [Download](https://sms4smile.com/quotes/i/e0f/ludwig-wittgenstein-582_doe_proof-one-might-say-does-not-merely-shew_316068.png) [Open image](https://sms4smile.com/quotes/i/e0f/ludwig-wittgenstein-582_doe_proof-one-might-say-does-not-merely-shew_316068.png)

> “Proof, one might say, does not merely shew that it is like this, but: how it is like this. It shows how 13+14 yield 27.”

[Ludwig Wittgenstein](https://sms4smile.com/quotes/author/ludwig-wittgenstein/)

## About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Demonstrates that proof not only shows similarity but explains the underlying structure, exemplified by 13+14=27.

**In simple terms:** Proof reveals underlying structure, not just similarity.

Key Takeaway

Use proofs to uncover how things work.

Themes

logic mathematics philosophy explanation

Mood

analytical thoughtful

Type

philosophical educational

When to use this quote

- teaching mathematics
- formal reasoning
- philosophical debate
- academic research

Key Concepts

proof theory structural analysis conceptual clarity

Questions to Reflect On

- How does this view affect teaching methods?
- What are limits of formal proof in everyday reasoning?

A Different Perspective

Proofs can be complex and inaccessible to novices.

★ ★ ★ ★ ★   No ratings yet

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