It is important to recognise the interdependence between individual, culturally formed actions and the state of cultural integration. People work within the forms provided by the cultural patterns that they have internalised, however contradictory these may be. Ideas are worked out as logical implications or consequences of other accepted ideas, and it is in this way that cultural innovations and discoveries are possible. New ideas are discovered through logical reasoning, but such discoveries are inherent in and integral to the conceptual system and are made possible only because of the acceptance of its premises. For example, the discoveries of new prime numbers are ‘real’ consequences of the particular number system employed. Thus, cultural ideas show ‘advances’ and ‘developments’ because they are outgrowths of previous ideas. The cumulative work of many individuals produces a corpus of knowledge within which certain ‘discoveries’ become possible or more likely. Such discoveries are ‘ripe’ and could not have occurred earlier and are also likely to be made simultaneously by numbers of individuals.
What does this bold sentence mean? I think that in this paragraph the subject is old accepted thoughts lead to evolution of new ideas. So this bold sentence must be associated with the subject. But I can't match between the bold sentence and the subject. Please explain "individual, culturally formed actions", "the stand of cultural integration", and "why these are the state of interdependence" to me easily with some examples.
