General form of propositions and language

-These phenomena have no one thing in common which makes us use the same word for all, they are all related to one another in many different ways.

What is common to all games?

-Board-games, card games, ball games, Olympic games

-We see an overlapping network of similarities, sometimes overall similarities, sometimes similarities of detail

-We can think of these similarities as family resemblances

Why do we call something a number?

-Because it has a direct relationship with several things that have been called a number and an indirect relationship with other things we call the same name

-Analogy of fibers and threads

-The concept of number: the logical sum of these individual interrelated concepts

The Concept of Game

-A concept with blurred edges

Frege’s Concept of An Area with Vague Boundaries

-Frege compares a concept to an area and says that an area with vague boundaries cannot be called an area at all

Conclusions

-In such difficulty, always ask yourself:

-How did we learn the meaning of this word?

-From what sort of examples?

-In what language-games?

-It will then be easier to see that there is a family of meanings