Peter Richard Forrest

This paper explores the mereology of structural universals, using the structural richness of a non-classical mereology without unique fusions. The paper focuses on a problem posed by David Lewis, who using the example of methane, and assuming classical mereology, argues against any purely mereological theory of structural universals. The problem is that being a methane molecule would have to contain being a hydrogen atom four times over, but mereology does not have the concept of the same part occurring several times. This paper takes up the challenge by providing mereological analysis of three operations sufficient for a theory of structural universals: Reflexive binding, i.e. identifying two of the places of a universal; Existential binding, i.e. the language-independent correlate of an existential quantification; and Conjunction.

This paper concerns the structure of appearances. I argue that to be appeared to in a certain way is to be aware of one or more universals. Universals therefore function like the sense‐data, once highly favoured but now out of fashion. For instance, to be appeared to treely, in a visual way, is to be aware of the complex relation, being tree‐shaped and tree‐coloured and being in front of, a relation of a kind which could be instantiated by a material object and a perceiver, which is thus instantiated in the veridical case but not in the non‐veridical.

In "How Do We Know It Is Now Now?" David Braddon-Mitchell (Analysis 2004) develops an objection to the thesis that the past is real but the future is not. He notes my response to this, namely that the past, although real, is lifeless and (a fortiori?) lacking in sentience. He argues, however, that this response, which I call 'the past is dead hypothesis', is not tenable if combined with 'special relativity'. My purpose in this reply is to argue that, on the contrary, 'special relativity' supports the thesis that the future is unreal

In his recent paper in Sophia , ‘Theodicy: The Solution to the Problem of Evil, or Part of the Problem?’ Nick Trakakis endorses the position that theodicy, whether intellectually successful or not, is a morally obnoxious enterprise. My aim in this paper is to defend theodicy from this accusation. I concede that God the Creator is a moral monster by human standards and neither to be likened to a loving parent nor imitated. Nonetheless, God is morally perfect. What is abhorrent is not tough-minded theodicy but the hubris of imitating God. I further claim that it is no accident that the same sort of objection is made to act utilitarianism as to tough-minded theodicy if the latter is misinterpreted as implying a guide for human action.

Contemporary epistemology of religion may conveniently be treated as adebate over whether evidentialism applies to thebelief-component of religious faith, or whether we should insteadadopt a more permissive epistemology. Here evidentialism is theinitially plausible position that a belief is justified only if``it is proportioned to the evidence''. For example, supposea local weather forecaster has noticed that over the two hundred yearssince records began a wetter than average Winter is followed in 85% ofcases by a hotter than average Summer. Then, assuming for simplicitythat the records are reliable, the forecaster is justified in believingwith less than full confidence that this Winter, which is wetter thanaverage, will be followed by a hotter than average Summer. Butevidentialism implies that it would not be justified to have fullbelief, that is belief with 100% confidence. Again, consider someonewho has a hunch that this Summer will be hotter than averagebut cannot justify that hunch further. Hunches are not consideredevidence, so the belief is not considered justified. If, however, thehuncher can cite a good track record of hunches about the weather thathave turned out correct then the belief would be consideredjustified. For although hunches are not considered evidence, memoriesabout past hunches are, as are the observations that corroborated thepast hunches

In this book I investigate the necessary structure of the aether the stuff that fills the whole universe. Some of my conclusions are. 1. There is an enormous variety of structures that the aether might, for all we know, have. 2. Probably the aether is point-free. 3. In that case, it should be distinguished from Space-time, which is either a fiction or a construct. 4. Even if the aether has points, we should reject the orthodoxy that all regions are grounded in points by summation. 5. If the aether is point-free but not continuous, its most likely structure has extended atoms that are not simples. 6. Space-time is symmetric if and only if the aether is continuous. 7. If the aether is continuous, we should reject the standard interpretation of General Relativity, in which geometry determines gravity. 8. Contemporary physics undermines an objection to discrete aether based on scale invariance, but does not offer much positive support."

In this paper I provide an ontology for the co‐variant vectors, contra‐variant vectors and tensors that are familiar from General Relativity. This ontology is developed in response to a problem that Timothy Maudlin uses to argue against universals in the interpretation of physics. The problem is that if vector quantities are universals then there should be a way of identifying the same vector quantity at two different places, but there is no absolute identification of vector quantities, merely a path‐relative one.My solution to the problem is to use the mathematical characterization of vectors as differential operators on scalar fields. On the proposed hypothesis a scalar field is a conjunctive state of affairs, and vector and tensor fields are relations instantiated by scalar fields

Armstrong holds the Supervenience Theory of instantiation, namely that the instantiation of universals by particulars supervenes upon what particulars and what universals there are, where supervenience is stipulated to be explanatory or dependent supervenience. I begin by rejecting the Supervenience Theory of instantiation. Having done so it is then tempting to take instantiation as primitive. This has, however, an awkward consequence, undermining one of the main advantages universals have over tropes. So I examine another account hinted at by Armstrong. This is the Operator Theory of instantiation, by which I mean the theory that universals are operators, and that a particular instantiates a monadic universal because the universal operates on the particular, resulting in the state of affairs. On this theory the state of affairs supervenes on the instantiation rather than vice versa. In the second part of the paper I develop this theory of universals as operators, including an account of structural universals, which are useful for accounts of modality and of mathematics.

I argue for the following four theses: (1) The Dread Thesis: human beings should fear having false religious beliefs concerning some religious doctrines; (2) The Radical Uncertainty Thesis: we, namely most human beings in our culture at our time, are in a situation where we have to commit ourselves on the truth or falsity of some propositions of ultimate importance; (3) The Radical Choice Thesis: considerations of expected loss or gain do not always provide guidance as to how to commit ourselves on matters of religious doctrine that are both radically uncertain and of ultimate importance; (4) The Scandal Thesis: radical choice on matters of ultimate importance is neither good nor inevitable, but due to the collective failure of philosophers of religion. Then I consider some inadequate responses: playing the faith card; contra-Pascalian decision theory; spiritual chauvinism; that faith presupposes uncertainty; the older pachyderm; irony, subjectivity, relativism and non-cognitivism; tainted truth; and muddling through. Finally I submit that the way forward is quite simply to become better philosophers.

© The Author 2016. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For Permissions, please email: [email protected] intellectual virtue an obstacle to religious faith? The papers in this fine collection answer this question either directly or indirectly.1 The editors, Laura Callahan and Timothy O’Connor, are to be congratulated on requesting, and receiving, from the authors accessible papers that cover many of the relevant issues. In addition they have provided a clear introduction and useful summaries....In this review, I first consider the way the editors explicate the question. Then I examine the authors' answers. Finally I draw some conclusions from the various papers.In their Introduction the editors remind us of the complexity of faith, which typically involves: various intellectual propensities, notably tenacity of belief; a world-view; a moral orientation and an ‘affective stance’. This last may well be the...

In this chapter I assume that we accept, perhaps reluctantly, general facts, that is states of affairs corresponding to universal generalizations. I then argue that, without any addition, this ontology provides us with physical necessities, and moreover with various grades of physical necessity, including the strongest grade, which I call absolute physical necessity. In addition there are consequences for our understanding of time. For this account, which I call the Mortmain Theory, provides a defence of No Futurism against an otherwise serious objection due to David Armstrong. In addition the Mortmain theory enables me to argue against the ‘‘Parmenidean’’ or Block Universe position that future and past are both real.

Mereotopology is that branch of the theory of regions concerned with topological properties such as connectedness. It is usually developed by considering the parthood relation that characterizes the, perhaps non-classical, mereology of Space (or Spacetime, or a substance filling Space or Spacetime) and then considering an extra primitive relation. My preferred choice of mereotopological primitive is interior parthood . This choice will have the advantage that filters may be defined with respect to it, constructing “points”, as Peter Roeper has done (“Region-based topology”, Journal of Philosophical Logic , 26 (1997), 25–309). This paper generalizes Roeper’s result, relying only on mereotopological axioms, not requiring an underlying classical mereology, and not assuming the Axiom of Choice. I call the resulting mathematical system an approximate lattice , because although meets and joins are not assumed they are approximated. Theorems are proven establishing the existence and uniqueness of representations of approximate lattices, in which their members, the regions, are represented by sets of “points” in a topological “space”.

I reply to seven objections to anthropomorphic theism: (1) That anthropomorphic theism is idolatrous. In reply I rely on the concept/conception distinction. (2) That faith requires certainty. In reply I argue that full belief may be based on probable inference. (3) That the truly infinite is incomprehensible. In reply I distinguish two senses of knowing what you mean. (4) "You Kant say that!" In reply I distinguish shallow from deep Kantianism. (5) "Shall Old Aquinas be forgot?" In reply I discuss the simplicity of God. (6) What those garrulous mystics say about the ineffable. In reply I argue that mystics should be anthropomorphites. (7) Antitheodicy. In reply I distinguish the community of all agents from the community of finite frail agents