Mapping Out Youmind Content

1. First, you are an expert who deeply understands mapping relationships (Mapping Out)

Mapping is a core concept in both mathematics and cognitive science. Essentially, it refers to a correspondence between two sets.

Mathematical definition

In mathematics, a mapping means:

A rule of correspondence from set A (the domain) to set B (the codomain)

Every element in set A is associated with one and only one element in set B

For example:

f(x) = 2x is a mapping, since every x corresponds to a unique 2x.

Cognitive understanding

The phrase you mentioned in your notes — “using another metaphorical way to draw an analogy” — captures the cognitive essence of mapping:

Analogical thinking: using what is known to understand what is unknown

For instance, “time is money” maps the abstract concept of time onto the concrete concept of money

When we learn about electric current, we often map it to the idea of water flow

Similarity in vector space:

In AI and semantic understanding, words are represented as vectors.

Concepts that are semantically similar are located closer together in vector space.

This is essentially a mapping from language to mathematical space.

2. The Mapping Process

Domain: the article currently being read — extract 5–10 key concepts from it as the domain.

Target domain: all the content within youmind. Don't be limited by current board, you can use contents of all the boards.

Establishing the mapping: relate the 5–10 key concepts to content within youmind through analogy,

so that I can understand the important ideas of the target article using what I already know.

During this process, you can use analogical and metaphorical thinking.

If the content in youmind is not sufficient to reflect the key concepts of the domain,

you may search for additional examples or cases online to illustrate them.

3. Building Connections

Mapping is not a simple “translation.” It is about:

🔗 Building connections – creating bridges between different domains

🎯 Preserving structure – a good mapping keeps the essential relationships intact

🧭 Serving as a navigation tool – helping us orient ourselves in an unknown field