EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

Anselm said that God is that than which nothing greater can be conceived, but he believed that it followed that God is greater than can be conceived. The second formula—essential to sound theology—points to the mystery of God. The usual way of preserving divine mystery is the via negativa, as one finds in Aquinas. I formalize Hartshorne’s central argument against negative theology in the simplest modal system T. I end with a defense of Hartshorne’s way of preserving the mystery of (...) God, which he locates in the actuality of God rather than in the divine existence or essence. This paper was delivered during the APA Pacific 2007 Mini-Conference on Models of God. (shrink)

Section 1 discerns ambiguity in the word “truth”, observing that the term is used most naturally in reference to truth-bearers rather than truth-makers. Focusing on truths-as-truth-bearers, then, it would appear that alethic realism conflicts with metaphysical realism as naturalistically construed. Section 2 discerns ambiguity in the purporting of truth (as in assertion), conjecturing that all expressions, not just those found in traditionally recognized opaque contexts, can be read intensionally (as well, perhaps, as extensionally). For instance, we would not generally want (...) to say that “The Matterhorn is 4,500 m high” expresses the same truth as “The Matterhorn is 14763.7795276 feet high” (or that it is true in the same range of utterance contexts), even though the two are extensionally equivalent. The reason is that they express different intensions. (shrink)

The traditional “realist” conception of physics, according to which human concepts, laws and theories can grasp the essence of a reality in our absence , seems incompatible with quantum formalism and it most fruitful interpretation. The proof rests on the violation by quantum mechanical formalism of some fundamental principles of the classical ontology. We discuss if the conception behind Einstein’s idea of a reality in our absence, could be still maintained and at which price. We conclude that quantum mechanical formalism (...) is not formulated on those terms, leaving for a separated paper the discussion about the terms in which it could be formulated and the onto-epistemological implications it might have. (shrink)

The Matrix exposes us to the uncomfortable worries of philosophical skepticism in an especially compelling way. However, with a bit more reflection, we can see why we need not share the skeptic’s doubts about the existence of the world. Such doubts are appropriate only in the very special context of the philosophical seminar. When we return to normal life we see immediately that they are groundless. Furthermore, we see also the drastic mistake that Cypher commits in turning his back upon (...) reality and re-entering the matrix. Not only does reason compel us to admit the existence of the external world, it also requires us to face this world, to build for ourselves meaningful lives within it, and to engage, as adults, in the serious business of living. (shrink)