Aran Arslan

In this paper, I dwell on a particular distinction introduced by Ilhan Inan—the distinction between ostensible and inostensible use of our language. The distinction applies to singular terms, such as proper names and definite descriptions, or to general terms like concepts and to the ways in which we refer to objects in the world by using such terms. Inan introduces the distinction primarily as an epistemic one but in his earlier writings (1997: 49) he leaves some room for it to have some semantic significance i.e., the view that in certain intensional de re contexts whether a term occurring in a sentence is ostensible or inostensible may have a bearing on the semantic content of the sentence. However, in his later writings e.g., The Philosophy of Curiosity, he appears to abandon his earlier thoughts regarding the semantic significance of his distinction. He says: “the ostensible/inostensible distinction is basically an epistemic one.... It is an epistemic distinction that has no semantic significance” (2012: 65). I argue that there are indeed such intensional contexts in which the distinction has some semantic significance, i.e., whether a term is ostensible or inostensible has in fact a bearing on what proposition is expressed by the sentence in which the term occurs.

In the context of discovery-oriented hypothesis testing research, behavioral scientists widely accept a convention for false positive (α) and false negative error rates (β) proposed by Jacob Cohen, who deemed the general relative seriousness of the antecedently accepted α = 0.05 to be matched by β = 0.20. Cohen’s convention not only ignores contexts of hypothesis testing where the more serious error is the β-error. Cohen’s convention also implies for discovery-oriented hypothesis testing research that a statistically significant observed effect is four times more probable to be a mistaken discovery than for a statistically significant true observed effect to be independently replicable. In the long run, Cohen’s convention thus is epistemically harmful to the development of a progressive science of human behavior, making its acceptance crucial in explaining the replication crisis in behavioral science. The balance between α- and β-errors generally ought to be struck using both epistemic and practical considerations. Yet epistemic considerations alone imply that making a genuine contribution to the body of knowledge in behavioral science requires error rates that are not only small but also symmetrical.

This thesis is a critique of Jaakko Hintikka’s reconstruction of Kantian intuition in logical and mathematical reasoning. I argue that Hintikka’s reconstruction of Kantian intuition in particular and his reconstruction of Kant's philosophy of mathematics in general fails to be successful in two ways: First, the logical formula which contains an instantiated term (henceforth, instantial term) that is introduced by the rule of existential instantiation in the ecthesis part of a proof of an argument is not even a proper singular proposition whose relation to its object is supposed to be immediate. It is not a proper singular proposition because its truth conditions are general, i.e., it makes a general statement about a class of individuals of the sort instantiated- a statement whose analysis is based on quantifiers. Second, I show that certain proofs in mathematics- those in the form of reductio ad absurdum- are not captured by Hintikka’s reconstruction of Kant’s philosophy of mathematics either.