Perspectives as knowledge

Article by Kohler, A.(2018). Human Arenas, 1(1), pp. 97-111.  Some interesting Piaget quotes follow, observations I've repeatedly made in the IPS forum (Ning, Facebook) over the years:

"Finally, it is not impossible that the class is not more a ultimate psychological reality than the set theory is the last word about mathematics foundations."

"We have been attempting to point out areas in which psychological experimentation is indispensable to shed light on certain epistemological problems, but even on its own grounds there are a number of reasons why formalization can never be sufficient by itself. I should like to discuss three of these reasons.

"The first reason is that there are many different logics, and not just a single logic. This means that no single logic is strong enough to support the total construction of human knowledge.

"The second reason is found in Gödel’s theorem. It is the fact that there are limits to formalization. Any consistent system sufficiently rich to contain elementary arithmetic cannot prove its own consistency.

"The third reason why formalization is not enough is that epistemology sets out to explain knowledge as it actually is within the areas of science, and this knowledge is, in fact not purely formal: there are other aspects to it."