A Modern Formal Logic [Book Review]

Review of Metaphysics 18 (2):381-382 (1964)

One of five short texts in the publisher's "Foundations of Logic Series." Fisk presents a sentential calculus and extensions to uniform and full first-order quantification in terms of natural-deduction principles. The principles laid down are continually justified by reference to our instinctive use of language. In keeping with this approach, Fisk is concerned to base the system on an intensional implication relation which will avoid the familiar paradoxes. Unfortunately, his system S can be proved equivalent to the classical two-valued calculus. This unanticipated result proceeds from principle S7, " p → q ∴ →." However, if S7 is dropped, the philosophical claims made for S hold good. By virtue of short but incisive discussions of controversial philosophical issues, e.g., existence and subjunctive conditionals, this book is a contribution as well as an introduction to philosophical thinking.—J. B. B.
Keywords Catholic Tradition  Contemporary Philosophy  General Interest
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ISBN(s) 0034-6632
DOI revmetaph1964182283
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