It is shown that the logical truth of instances of the T-schema is incompatible with the formal nature of logical truth. In particular, since the formality of logical truth entails that the set of logical truths is closed under substitution, the logical truth of T-schema instances entails that all sentences are logical truths.

Critical Notice of The Limits of abstraction by Kit Fine, Oxford: Clarendon Press, 2002, pp.216. ISBN 9780191567261.

One of the main reasons for providing formal semantics for languages is that the mathematical precision afforded by such semantics allows us to study and manipulate the formalization much more easily than if we were to study the relevant natural languages directly. Michael Tye and R. M. Sainsbury have argued that traditional set-theoretic semantics for vague languages are all but useless, however, since this mathematical precision eliminates the very phenomenon (vagueness) that we are trying to capture. Here we meet this (...) objection by viewing formalization as a process of building models, not providing descriptions. When we are constructing models, as opposed to accurate descriptions, we often include in the model extra ‘machinery’ of some sort in order to facilitate our manipulation of the model. In other words, while some parts of a model accurately represent actual aspects of the phenomenon being modelled, other parts might be merely artefacts of the particular model. With this distinction in place, the criticisms of Sainsbury and Tye are easily dealt with—the precision of the semantics is artefactual and does not represent any real precision in vague discourse. Although this solution to this problem is independent of any particular semantics a detailed account of how we would distinguish between representor and artefact within Dorothy Edgington's degree-theoretic semantics is presented. (shrink)

We argue that there is a conflict among classical theism's commitments to divine simplicity, divine creative freedom, and omniscience. We start by defining key terms for the debate related to classical theism. Then we articulate a new argument, the Aloneness Argument, aiming to establish a conflict among these attributes. In broad outline, the argument proceeds as follows. Under classical theism, it's possible that God exists without anything apart from Him. Any knowledge God has in such a world would be wholly (...) intrinsic. But there are contingent truths in every world, including the world in which God exists alone. So, it's possible that God contingently has wholly intrinsic knowledge. But whatever is contingent and wholly intrinsic is an accident. So, God possibly has an accident. This is incompatible with classical theism. Finally, we consider and rebut several objections. (shrink)

The End of the Timeless God considers two approaches to the philosophy of time, presentism and eternalism. It is often held that God cannot be timeless if presentism is true, but can be if eternalism is true. R. T. Mullins draws on recent work in the philosophy of time as well as the work of classical Christian thinkers such as Augustine, Anselm, and Aquinas to contend that the Christian God cannot be timeless in either case.

We first consider the entailment logic MC, based on meaning containment, which contains neither the Law of Excluded Middle (LEM) nor the Disjunctive Syllogism (DS). We then argue that the DS may be assumed at least on a similar basis as the assumption of the LEM, which is then justified over a finite domain or for a recursive property over an infinite domain. In the latter case, use is made of Mathematical Induction. We then show that an instance of the (...) LEM is intrumental in the proof of Cantor's Theorem, and we then argue that this is based on a more general form than can be reasonably justified. We briefly consider the impact of our approach on arithmetic and naive set theory, and compare it with intuitionist mathematics and briefly with recursive mathematics. Our "Four Basic Logical Issues" paper would provide useful background, the current paper being an application of the some of the ideas in it. (shrink)

We are grateful for Roy T. Cook's attention to our work in his recent review of our book If A, Then B: How the World Discovered Logic. But Professor Cook leaves two misimpressions that we should like to correct. First, we have never maintained (as he phrases it) that "one's premises must be more certain than the conclusions that follow from them, ignoring the obvious logical fact that, if B logically follows from A, then B is provably at (...) least as probable as A." Instead, we assert that one must be *initially* more certain of one's premises than the conclusions that follow from them; otherwise, we contend, no argument that relies on those premises to prove such a conclusion can be rationally persuasive. On this view, one might still be equally certain of both the premises and the conclusion after being persuaded by the argument, especially in cases where the premises entail the conclusion. By analogy, Aristotle asserts in the Posterior Analytics that the premises of demonstration must be "better known" than the conclusion—meaning, in part, that the premises must be initially more convincing. But this hardly shows that Aristotle thinks that, if A is invoked to demonstrate B, then A and B can never be regarded as equally probable…. (shrink)

R T Allen; ‘Because I Say So!’ Some Limitations Upon the Rationalisation of Authority, Journal of Philosophy of Education, Volume 21, Issue 1, 30 May 2006, Page.

R T Allen; ‘Because I Say So!’ Some Limitations Upon the Rationalisation of Authority, Journal of Philosophy of Education, Volume 21, Issue 1, 30 May 2006, Page.

Anne Conway rejects the view that creatures are essentially members of any natural kind more specific than the kind 'creature'. That is, she rejects essentialism about species membership. This chapter provides an analysis of one of Anne Conway's arguments against such essentialism, which (as I argue) is drawn from metaethical rather than metaphysical premises. In her view, if a creature's species or kind were inscribed in its essence, that essence would constitute a limit on the creature's potential to participate in (...) the divine good. It is this consideration that ultimately leads her to reject essentialism about species membership. The chapter concludes with an examination of some of the metaethical consequences of Conway's view as well as a lesson it can teach us about ideal adviser accounts of the good. (shrink)

R T Allen; The Meaning of Life and Education, Journal of Philosophy of Education, Volume 25, Issue 1, 30 May 2006, Pages 47–58, https://doi.org/10.1111/j.1467-9.

R T Allen; The Meaning of Life and Education, Journal of Philosophy of Education, Volume 25, Issue 1, 30 May 2006, Pages 47–58, https://doi.org/10.1111/j.1467-9.

In certain theological circles today, panentheism is all the rage. One of the most notorious difficulties with panentheism lies in figuring out what panentheism actually is. There have been several attempts in recent literature to demarcate panentheism from classical theism, neo-classical theism, open theism, and pantheism. I shall argue that these attempts to demarcate panentheism from these other positions fail. Then I shall offer my own demarcation.

R T Allen; Rational Autonomy: the destruction of freedom, Journal of Philosophy of Education, Volume 16, Issue 2, 30 May 2006, Pages 199–207, https://doi.org/10.

R T Allen; Rational Autonomy: the destruction of freedom, Journal of Philosophy of Education, Volume 16, Issue 2, 30 May 2006, Pages 199–207, https://doi.org/10.

R T Allen; I'll Say it Again: a rejoinder to Jim Mackenzie, Journal of Philosophy of Education, Volume 22, Issue 1, 30 May 2006, Pages 113–114, https://doi.org/.

R T Allen; Idealism, Theism and Education: some footnotes to Gordon & White, Journal of Philosophy of Education, Volume 21, Issue 2, 30 May 2006, Pages 283–.

R T Allen; Idealism, Theism and Education: some footnotes to Gordon & White, Journal of Philosophy of Education, Volume 21, Issue 2, 30 May 2006, Pages 283–.

R T Allen; The Philosophy of Michael Polanyi and its Significance for Education, Journal of Philosophy of Education, Volume 12, Issue 1, 30 May 2006, Pages 167–.

Christian theism claims that God is in some sense responsible for the existence and nature of time. There are at least two options for understanding this claim. First, the creationist option, which says that God creates time. Second, the identification view, which says that time is to be identified with God. Both options will answer the question, “what is time?” differently. I shall consider different versions of the creationist option, and offer several objections that the view faces. I will also (...) consider different versions of the identification view, and argue that the objections it faces can be refuted. (shrink)

R T Allen; I'll Say it Again: a rejoinder to Jim Mackenzie, Journal of Philosophy of Education, Volume 22, Issue 1, 30 May 2006, Pages 113–114, https://doi.org/.

R T Allen; Metaphysics in Education, Journal of Philosophy of Education, Volume 23, Issue 2, 30 May 2006, Pages 159–169, https://doi.org/10.1111/j.1467-9752.198.

R T Allen; Metaphysics in Education, Journal of Philosophy of Education, Volume 23, Issue 2, 30 May 2006, Pages 159–169, https://doi.org/10.1111/j.1467-9752.198.

R T Allen; The Philosophy of Michael Polanyi and its Significance for Education, Journal of Philosophy of Education, Volume 12, Issue 1, 30 May 2006, Pages 167–.

This is a brief response to S. Jacob’s review of Beyond Liberalism.

An introductory exploration on the nature of emotions, and examination of some of the critical issues surrounding the emotional life of God as they relate to happiness, empathy, love, and moral judgments. Covering the different criteria used in the debate between impassibility and passibility, readers can begin to think about which emotions can be predicated of God and which cannot.

Every person acquires a worldview, a picture of reality. Within that picture, the existence of some things will be taken wholly for granted as the background to, and support of, everything else. Their existence will rarely be questioned. The cosmos or universe, the gods, God, Brahman, Heaven, the Absolute--R. T. Allen claims that all these and other world- views have been held to be that which necessarily exists and upon which all other beings depend in one way or another. European (...) philosophers, since antiquity, have offered arguments to show that their chosen candidates for the role of the necessary being or beings that support the rest of reality do actually exist. The Necessity of God sets the valid core of previous ontological arguments. It does not and cannot prove that God exists, but only that something necessarily exists. In an a priori manner and without inferring anything from what in fact exists, Allen proceeds to show that which necessarily exists is one, transfinite, eternal, and the archetype of personal existence: in short, that it is God as classically conceived. As for everything else that may exist, it must be finite and dependent for its existence upon God as its creator and sustainer. Few things are more erroneous in philosophy and disastrous in practice than artificial constructions produced without constant reference to concrete reality. That which necessarily exists may be the one exception. Before this constructive argument, Allen examines previous examples of ontological arguments in order to show exactly where they go wrong and to extract the valid core obscured within them. This will make clear the difference between them and his new version. The reader who is eager to engage the philosophical sources of belief will find a distinct treasure in The Necessity of God. (shrink)