We argue that all general concepts are family resemblance concepts. These include concepts introduced by ostension, such as colour(s). Concepts of colour and of each of the specific colours are family resemblance concepts because similarities concerning an open‐ended range of colour or of appearance features crop up and disappear. After discussing the notion of “same colour” and Wittgenstein's use of the phrase “our colours”, we suggest family resemblance concepts in one tradition can often be extended to family resemblance concepts in (...) another tradition, illustrated by Wittgenstein's use of the words Spiel and “game”. (shrink)

The paper provides an interpretation of Wittgenstein’s claim that a mathematical proof must be surveyable. It will be argued that this claim specifies a precondition for the applicability of the word ‘proof’. Accordingly, the latter is applicable to a proof-pattern only if we can come to agree by mere observation whether or not the pattern possesses the relevant structural features. The claim is problematic. It does not imply any questionable finitist doctrine. But it cannot be said to articulate a feature (...) of our actual usage of the word ‘proof’. The claim can be dissociated, however, from two tenable doctrines of Wittgenstein, namely that proofs can be used as paradigms for corresponding proof concepts and that a proof is not an experiment. (shrink)

Elvira Schnabel; Wittgenstein on Rules: what follows and what does not, Journal of Philosophy of Education, Volume 25, Issue 1, 30 May 2006, Pages 83–94, https.