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In Classical Deductive reasoning, you cannot say anything about Q -> P from P -> Q. However, probabilistic reasoning allows you to say something about the probability of Q given P from the probability of P given Q. The attached document explores this through two examples.
Tagsbiases probability exposition justifying scientific inquiry
There are various problematic concepts which students and teachers tend to accept without thinking critically. The concept of cicumscription is one such concept. The attached document outlines a concept clarification session on circumscription.
Tagsmathematical inquiry exposition conceptual inquiry lesson plan