Tomis Kapitan

MEDIEVAL LOGICCARLOS A. DUFOUR, Die Lehre der Proprietates Terminorum. Sinn und Referenz in mittelalterlicher Logik. München, Hamden, Wien: Philosophia, 1989. 312 pp. 148 DM.NORMAN KRETZMANN and BARBARA ENSIGN KRETZMANN The Sophismata of Richard Kilvington. Oxford: Published for the British Academy by Oxford University Press, 1990. xx + 156 pp. £27.50.LOGIC AND MATHEMATICSSOULEYMANE BACHIR DIAGNE, Boole. Paris: Editions Belin, 1989. 262pp. 75 Ffr.M.-M. TOEPELL, Über die Entstehung von David Hilberts “Grundlagen der Geometrie”. Göttingen: Vandenhoeck und Ruprecht, 1986. vii + 293 pp. 82 DM.VOLKER PECKHAUS, Hilbertprogramm und Kritische Philosophie. Das Göttinger Model1 interdisziplinarer Zusammenärbeit zwischen Mathematik und Philosophie. Gottingen: Vandenhoeck und Ruprecht, 1990. vi + 291 pp. 78 DM.E. WELTI, Die Philosophie des Strikten Finitismus, Entwicklungstheoretische und mathematische Untersuchungen iiber Unendlichkeitsbegriffe in Ideengeschichte und Mathematik, Bern, Frankfurt am Main und New York: Peter Lang, 1986. xxix + 652pp. $79.90.Philosophy of logicMARK A. NOTTURNO, Perspectives on psychlogism. Leiden, New York, Copenhagen and Cologne: E. J. Brill, 1989. viii + 504 pp. 225 Dfl/$112.50.ROBERT N. MCLAUGHLIN, On the logic of ordinary conditionals. Albany: State University of New York Press, 1990. xvii + 202 pp. $54.50 /$17.95.JAAKKO HINTIKKA and MERRILL HINTIKKA, The logic of epistemology and the epistemology of logic: selected essays. Dordrecht, Boston and London: Kluwer Academic Publishers, 1989.J. NORMAN and R. SYLVAN, Directions in relevant logic. Foreword by N. D. Belnap. Dordrecht, Boston and London: Kluwer Academic Publishers, 1989. xii + 453 pp. £72.00.LOGIC AND LANGUAGEC. J. F. WILLIAMS, What is identity? Oxford: Clarendon Press, 1989. xx + 207 pp. £25.00.GREGORY MCCULLOCH, The game of the name. Oxford: Oxford University Press, 1989. xvi + 320pp. £30.00, £9.95.GRAEME FORBES, Languages of possibility. Oxford: Basil Blackwell, 1989. x + 181 pp. £27.50.

According to C. S. Peirce, abduction is a rational attempt to locate an explanation for a puzzling phenomenon, where this is a process that includes both generating explanatory hypotheses and selecting certain hypotheses for further scrutiny. Since inference is a controlled process that can be subjected to normative standards, essential to his view of abductive rasoning is that it is correlated to a unique species of correctness that cannot be reduced to deductive validity or inductive strength. This irreducibility claim is of considerable importance for the logical and epistemological scrutiny of scientific methods, but it is not clear that Peirce produced a convicing argument for it. To the contrary, when the full structure of abductive argumentation is clarified, especially as presented in Peirce’s later writings on the topic, a good case can be made for viewing every inferential step in the abductive process as dissolving into familiar forms of deductive and inductive reasoning. Specifically, hypothesis-selection is a special type of practical inference that, if correct, is deductively valid, while the creative phase, hypothesis-generation, is not inferential at all. Once this is understood, it emerges that the familiar descriptions of abduction as “inference to the best explanation” or as a process of “belief revision” are, at best, misleading.

Essential to Peirce's distinction among three kinds of reasoning, deduction, induction and abduction, is the claim that each is correlated to a unique species of validity irreducible to that of the others. In particular, abductive validity cannot be analyzed in either deductive or inductive terms, a consequence of considerable importance for the logical and epistemological scrutiny of scientific methods. But when the full structure of abductive argumentation — as viewed by the mature Peirce — is clarified, every inferential step in the process can be seen to dissolve into familiar forms of deductive and inductive reasoning. Specifically, the final stage is a special type of practical inference which, if correct, is deductively valid, while the creative phase, surprisingly, is not inferential at all. In neither is abduction a type of inference to the best explanation. The result is a major reassessment of the relevance of Peirce's views to contemporary methodological studies.

The role of reason, and its embodiment in philosophical-scientific theorizing, is always a troubling one for religious traditions. The deep emotional needs that religion strives to satisfy seem ever linked to an attitudes of acceptance, belief, or trust, yet, in its theoretical employment, reason functions as a critic as much as it does a creator, and in the special fields of metaphysics and epistemology its critical arrows are sometimes aimed at long-standing cherished beliefs. Understandably, the mere approach to these beliefs through organized philosophical activity, however well-intended, is viewed with suspicion by ecclesiastical authorities and the devout. The attitude towards philosophical inquiry on the part of the Islamic religious community might be thought to typify this reaction. As one of the great prophetic religions, the self-avowed image of Islam is of a tradition which already possesses the truth as set forth in the divine revelation of the Qur'an. What need is there for philosophizing on fundamental matters, e.g., the ultimate nature of reality, the foundations of morality, the modes whereby the divine is connected with the temporal? The structure of creation is already made clear, the "straight path" for living already manifest. how can philosophical activity be anything but a source of divisive controversy, for as it turns its gaze to the foundations upon which the Shari`a' (Islamic Law) rests, or to the grounds for religious belief itself, it cannot avoid turning up alternative viewpoints, different perspectives on divine revelation, noting various weaknesses in received 1 interpretations? In short, isn't the practice of philosophy a threat to Islam's promise of providing a comprehensive way of living devoid of skepticism and uncertainty about the place of a human in God's creation and his or her role in the 'umma (Islamic community)? This problem is not unique to Islam, nor is it a new one within Islam. We know that it has been debated by Islamic thinkers since the translations of the Greek philosophers began to appear in an organized Islamic world during the 8th Century A..