It is pointed out that the probabilistic character of a theory does not indicate by itself a distancing with respect to the norms of objectification. Instead, the very structure of the calculation of probabilities utilised by this theory is capable of bearing the trace of a constitution of objectivity in Kant’s sense. Accordingly, the procedure of the constitution of objectivity is first studied in standard and in quantum cases with due reference to modern cognitive science. Then, an examination of the (...) differences between classical and quantum probabilities is performed. It is shown that the form of the quantum calculation of the probabilities carries the mark of the contextuality of the phenomena on which it bears. Conversely, certain conditions that have the form of Bell’s inequalities carry the mark of decontextualization. (shrink)

Logic, an old discipline with a long history, is a product of the nature of thinking that is based on mental thought, which is distinguished from other creatures by human nature. Logical thought and various forms of rational inference, seen in all the geographical regions of the world before attaining a systematic structure, have directed to human life and its scientific products. A systematic structure is taken back to Parmenides, lived in ancient Greek thought. The logic developed from various directions (...) was given a proper shape by Aristotle nearly two thousand years ago and has been in continuous development and transformation in the direction of human mind and its needs. Today, in addition to Aristotelian logic, which is two most valuable structures, many valued logics have emerged.. Quite different logic conception emerges from classical logic, however, which is considered as a beginning for philosophical thought and is one of the important factors in reaching the goal of the philosophical effort. But the presence of classical logic continues in the areas of religious, classical philosophy and social sciences. In this frame, the value of classical logic from past histories requires the position that it deserves. Especially, in the area of logic as well as the problems faced in logic education, more effective planning is required especially in the higher education level. This article will briefly discuss the structure of logic and its various interpretations. It will also point out the importance of logic and will draw attention to the problems in the Theology Faculties. A few suggestions that we want to discuss in this framework will also be put forward. (shrink)

In Hailperin 1996 , in addition to its formal development of Probability Logic, there are many sections devoted to historical origins, illustrative examples, and discussion of related work by other authors. Here selected portions of its formal treatment are summarized and then used as a basis for a probability logic treatment of combining evidence.

In 1883, while a student of C. S. Peirce at Johns Hopkins University, Christine Ladd-Franklin published a paper titled On the Algebra of Logic, in which she develops an elegant and powerful test for the validity of syllogisms that constitutes the most significant advance in syllogistic logic in two thousand years. Sadly, her work has been all but forgotten by logicians and historians of logic. Ladd-Franklin's achievement has been overlooked, partly because it has been overshadowed by the work of other (...) logicians of the nineteenth century renaissance in logic, but probably also because she was a woman. Though neglected, the significance of her contribution to the field of symbolic logic has not been diminished by subsequent achievements of others.In this paper, I bring to light the important work of Ladd-Franklin so that she is justly credited with having solved a problem over two millennia old. First, I give a brief survey of the history of syllogistic logic. In the second section, I discuss the logical systems called “algebras of logic”. I then outline Ladd-Franklin's algebra of logic, discussing how it differs from others, and explain her test for the validity of the syllogism, both in her symbolic language and the more familiar language of modern logic. Finally I present a rigorous proof of her theorem. Ladd-Franklin developed her algebra of logic before the methods necessary for a rigorous proof were available to her. Thus, I do now what she could not have done then. (shrink)

(1993). Thomas solly (1816–1875):an unknown pioneer of the mathematization of logic in england, 1839. History and Philosophy of Logic: Vol. 14, No. 2, pp. 133-169.