Can relativism be reconciled with realism and causalism?

This paper deals with two fundamental assumptions of the Strong programme in the sociology of knowledge and the theoretical (im) possibility of their co‐existence with the general relativist tendency of this programme. The first assumption is the realist thesis introduced into the Strong programme through the materialist presupposition that sense experience is reliable and humans are able to learn about the regularities of the non‐social world in order to survive. The second assumption is the causal principle. Arguments developed in this paper lead to the conclusion that neither realism nor causalism can be reconciled with relativism. In both cases inconsistency is brought about by a tension between scientific perspective and relativism, between an external approach aiming at objective, universal, and causal explanation of what is studied, on the one hand, and the internal, relativist and reflexive, hermeneutical understanding of the human, on the other hand. The belief that the sociology of knowledge can be at the same time scientific, like the natural sciences, and relativist, like certain philosophies but not the natural sciences, is not sufficiently justified in the Strong programme.     

On linear classifications under varying choice probabilities

The paper deals with certain problems connected with the assumption that choice probabilities p_s(x, y) depend on the subject s. A set of postulates is given, which implies the existence of sequences of “classification standards”, i.e., sequences {z_j} such that whenever we have 0 < p_s0(x, z_i) < 1 for some s₀ and i, then p_s(z_i+k, x) = p_s(x, z_i?k) = 1 for all s, and k ≥ 1. Elements of any such sequence {z_j} can serve as boundaries between successive categories of classification based on the following rule: Assign x to jth category if you feel it is “to the right” of z_j and “to the left” of z_j+1. Under the condition stated above this rule is unambiguous, and the resulting classification has the property that every element is assigned to one of the two neighboring categories, regardless who performs the classification.Next, the postulates are enriched so as to imply the existence of “tightest” among such sequences {z_j}, hence leading to a classification with largest number of categories.     

Elementy logiki w programach nauczania matematyki

Allatum est die 23 Septembris 1970