Bernard Lonergan has argued for a theory of cognition that is transcendentally secure, that is, one such that any plausible attempt to refute it must presuppose its correctness, and one that also grounds a correct metaphysics and ontology. His proposal combines an identity theory of knowledge with an intentional relation between knower and known. It depends in a crucial way upon an appropriation of one’s own cognitional motives and acts, that is, upon “knowing one’s own knowing.” I argue that because (...) of conflicts between the identity and intentionality components of the theory, rational self-appropriation cannot, as Lonergan claims, be an iteration of just the same acts by which we acquire other sorts of knowledge. I propose an amended theory in which the relation between intending-subject and intended-object of first-level cognition becomes, in RSA, a numerical identity of knower and known and of the epistemic and the ontological. (shrink)

This note calls attention to the fact that efficient causes – the sort of cause that changes something or makes something happen – can play no constitutive role in the immediate, cognitively conscious relation between cognitive subject and a cognit-ive object. It notes that: (1) it is a necessary condition for an efficient causal relation that it alter its relata; and (2) it is a necessary condition for a conscious cognitive relat-ion that it does not alter its relata. This has (...) important implication for the theories of knowledge and consciousness, the “Hard Problem,” and related puzzles. (shrink)

David Chalmers argues that consciousness -- authentic, first-person, conscious consciousness -- cannot be reduced to brain events or to any physical event, and that efforts to find a workable mind-body identity theory are, therefore, doomed in principle. But for Chalmers and non-reductionist in general consciousness consists exclusively, or at least paradigmatically, of phenomenal or qualia-consciousness. This results in a seriously inadequate understanding both of consciousness and of the “hard problem.” I describe other, higher-order cognitional events which must be conscious if (...) the “hard problem” is to be solved -- in any sense of ‘solve’ which would make us any the wiser about it -- but whose consciousness is quite different from the qualia and phenomena usually inventoried. Events of this kind are both part of the hard problem and the means by which we will solve it, if we ever do. (shrink)

In this paper I argue that Bonjour’s claim that empirical beliefs can only be justified by other empirical beliefs and his use of non-normative “spontaneous empirical beliefs” and the “The Doxastic Preumption” fail to solve the problems of coherence theory. I propose a justification of empirical (and other beliefs) based on the work of B. Lonergan.

In this paper I call attention to the fact that Lonergan gives two radically opposed accounts of how sense perception relates us to the external world and of how we know that this relation exists. I argue that the position that Lonergan characteristically adopts is not the one implied by what is most fundamental in his theory of cognition. I describe the initial epistemic position with regard to the problem of skepticism about the external material world that is in fact (...) implied by his theory of cognition, and I sort out some confusion about various forms of direct and representative perceptual realism. The paper concludes with a critique of Lonergan’s theory of description and explanation in empirical science that makes evident the difficulties into which he is led by lack of clarity in his theory of perception. (shrink)

In this paper I call attention to the fact that Lonergan gives two radically opposed accounts of how sense perception relates us to the external world and of how we know that this relation exists. I argue that the position that Lonergan characteristically adopts is not the one implied by what is most fundamental in his theory of cognition. I describe the initial epistemic position with regard to the problem of skepticism about the external material world that is in fact (...) implied by his theory of cognition, and I sort out some confusion about various forms of direct and representative perceptual realism. The paper concludes with a critique of Lonergan’s theory of description and explanation in empirical science that makes evident the difficulties into which he is led by lack of clarity in his theory of perception. (shrink)

The underdetermination of theory by data obtains when, inescapably, evidence is insufficient to allow scientists to decide responsibly between rival theories. One response to would-be underdetermination is to deny that the rival theories are distinct theories at all, insisting instead that they are just different formulations of the same underlying theory; we call this the identical rivals response. An argument adapted from John Norton suggests that the response is presumptively always appropriate, while another from Larry Laudan and Jarrett Leplin suggests (...) that the response is never appropriate. Arguments from Einstein for the special and general theories of relativity may fruitfully be seen as instances of the identical rivals response; since Einstein’s arguments are generally accepted, the response is at least sometimes appropriate. But when is it appropriate? We attempt to steer a middle course between Norton’s view and that of Laudan and Leplin: the identical rivals response is appropriate when there is good reason for adopting a parsimonious ontology. Although in simple cases the identical rivals response need not involve any ontological difference between the theories, in actual scientific cases it typically requires treating apparent posits of the various theories as mere verbal ornaments or computational conveniences. Since these would-be posits are not now detectable, there is no perfectly reliable way to decide whether we should eliminate them or not. As such, there is no rule for deciding whether the identical rivals response is appropriate or not. Nevertheless, there are considerations that suggest for and against the response; we conclude by suggesting two of them. (shrink)

The paper is an examination and critique of the philosophy of science fiction horror of seminal American horror, science fiction and fantasy writer H.P. Lovecraft (1890-1937). Lovecraft never directly offers a philosophy of science fiction horror. However, at different points in his essays and letters, he addresses genres he labels “interplanetary fiction”, “horror”, “supernatural horror”, and “weird fiction”, the last being a broad heading covering both supernatural fiction and science fiction. Taken together, a philosophy of science fiction horror emerges. Central (...) to this philosophy is the juxtaposition of the mysterious, unnatural and alien against a realistic background, in order to produce the emotion that Lovecraft calls “cosmic fear”. This background must not only be scientifically accurate, but must accurately portray human psychology, particularly when humans are faced with the weird and alien. It will be argued that Lovecraft’s prescriptions are overly restrictive and would rule out many legitimate works of science fiction horror art. However, he provides useful insights into the genre. (shrink)

This paper presents a model-theoretic semantics for discourse "about" natural numbers, one that captures what I call "the mathematical-object picture", but avoids what I can "the mathematical-object theory".

The idea that fictions may educate us is an old one, as is the view that they distort the truth and mislead us. While there is a long tradition of passionate assertion in this debate, systematic arguments are a recent development, and the idea of empirically testing is particularly novel. Our aim in this chapter is to provide clarity about what is at stake in this debate, what the options are, and how empirical work does or might bear on its (...) resolution. We distinguish between merely influencing people’s opinions and providing genuine learning, where the latter requires that the source of the change in opinion should be reliable. Other important ideas here are the extent to which authors of fiction may be considered to provide testimony, or something like it, and the possibility of recognizing an unstated purpose in the project of the fictional work. We ask whether fictions can furnish us not merely with ideas but with reasons for believing them, perhaps by constituting thought experiments. We consider whether the focus should be on understanding rather than on knowledge, and whether fictions can inform us about the qualities of another’s experiences. We briefly describe some experimental work of recent decades and suggest that the evidence for learning from fiction is currently meagre. (shrink)

This paper considers two reasons that might support Russell’s choice of a ramified-type theory over a simple-type theory. The first reason is the existence of purported paradoxes that can be formulated in any simple-type language, including an argument that Russell considered in 1903. These arguments depend on certain converse-compositional principles. When we take account of Russell’s doctrine that a propositional function is not a constituent of its values, these principles turn out to be too implausible to make these arguments troubling. (...) The second reason is conditional on a substitutional interpretation of quantification over types other than that of individuals. This reason stands up to investigation: a simple-type language will not sustain such an interpretation, but a ramified-type language will. And there is evidence that Russell was tacitly inclined towards such an interpretation. A strong construal of that interpretation opens a way to make sense of Russell’s simultaneous repudiation of propositions and his willingness to quantify over them. But that way runs into trouble with Russell’s commitment to the finitude of human understanding. (shrink)

In an attempt to determine the epistemic status of computer simulation results, philosophers of science have recently explored the similarities and differences between computer simulations and experiments. One question that arises is whether and, if so, when, simulation results constitute novel empirical data. It is often supposed that computer simulation results could never be empirical or novel because simulations never interact with their targets, and cannot go beyond their programming. This paper argues against this position by examining whether, and under (...) what conditions, the features of empiricality and novelty could be displayed by computer simulation data. I show that, to the extent that certain familiar measurement results have these features, so can some computer simulation results. (shrink)

Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What (...) is logic?” drives us to the question “What is a logical constant?” Though what follows contains some argument, limitations of space constrain me in large part to express my Credo on this topic with the broad brush of bold assertion and some promissory gestures. (shrink)

Discourse carries thin commitment to objects of a certain sort iff it says or implies that there are such objects. It carries a thick commitment to such objects iff an account of what determines truth-values for its sentences say or implies that there are such objects. This paper presents two model-theoretic semantics for mathematical discourse, one reflecting thick commitment to mathematical objects, the other reflecting only a thin commitment to them. According to the latter view, for example, the semantic role (...) of number-words is not designation but rather the encoding of cardinality-quantifiers. I also present some reasons for preferring this view. (shrink)

This paper and its sequel “look under the hood” of the usual sorts of proof-theoretic systems for certain well-known intuitionistic and classical propositional modal logics. Section 1 is preliminary. Of most importance: a marked formula will be the result of prefixing a formula in a propositional modal language with a step-marker, for this paper either 0 or 1. Think of 1 as indicating the taking of “one step away from 0.” Deductions will be constructed using marked formulas. Section 2 presents (...) the model-theoretic concepts, based on those in [7], that guide the rest of this paper. Section 3 presents Natural Deduction systems IK and CK, formalizations of intuitionistic and classical one-step versions of K. In these systems, occurrences of step-markers allow deductions to display deductive structure that is covered over in familiar “no step” proof-theoretic systems for such logics. Box and Diamond are governed by Introduction and Elimination rules; the familiar K rule and Necessitation are derived (i.e. admissible) rules. CK will be the result of adding the 0-version of the Rule of Excluded Middle to the rules which generate IK. Note: IK is the result of merely dropping that rule from those generating CK, without addition of further rules or axioms (as was needed in [7]). These proof-theoretic systems yield intuitionistic and classical consequence relations by the obvious definition. Section 4 provides some examples of what can be deduced in IK. Section 5 defines some proof-theoretic concepts that are used in Section 6 to prove the soundness of the consequence relation for IK (relative to the class of models defined in Section 2.) Section 7 proves its completeness (relative to that class). Section 8 extends these results to the consequence relation for CK. (Looking ahead: Part 2 will investigate one-step proof-theoretic systems formalizing intuitionistic and classical one-step versions of some familiar logics stronger than K.). (shrink)

William Lane Craig’s God over All argues against the kind of “divine conceptualism” about abstract objects which I defend. In this conference presentation I note several points of agreement with and appreciation for Craig’s important work. I then turn to five points of critique and response pertaining to: the sovereignty-aseity intuition, the reality of false propositions, God’s having “inappropriate” thoughts, propositions being purely private and incommunicable, and a consistent view of God’s own ontological commitments. I conclude by summarizing our two (...) key differences, indicating that we may have much more in common than first appears. (shrink)

We present a new frame semantics for positive relevant and substructural propositional logics. This frame semantics is both a generalisation of Routley–Meyer ternary frames and a simplification of them. The key innovation of this semantics is the use of a single accessibility relation to relate collections of points to points. Different logics are modeled by varying the kinds of collections used: they can be sets, multisets, lists or trees. We show that collection frames on trees are sound and complete for (...) the basic positive distributive substructural logic $\mathsf {B}^+$, that collection frames on multisets are sound and complete for $\mathsf {RW}^+$ (the relevant logic $\mathsf {R}^+$, without contraction, or equivalently, positive multiplicative and additive linear logic with distribution for the additive connectives), and that collection frames on sets are sound for the positive relevant logic $\mathsf {R}^+$. The completeness of set frames for $\mathsf {R}^+$ is, currently, an open question. (shrink)

The two principal models of design in methodological circles in architecture—analysis/synthesis and conjecture/analysis—have their roots in philosophy of science, in different conceptions of scientific method. This paper explores the philosophical origins of these models and the reasons for rejecting analysis/synthesis in favour of conjecture/analysis, the latter being derived from Karl Popper’s view of scientific method. I discuss a fundamental problem with Popper’s view, however, and indicate a framework for conjecture/analysis to avoid this problem.

In the distribution of resources, persons must be respected, or so many philosophers contend. Unfortunately, they often leave it unclear why a certain allocation would respect persons, while another would not. In this paper, we explore what it means to respect persons in the distribution of scarce, life-saving resources. We begin by presenting two kinds of cases. In different age cases, we have a drug that we must use either to save a young person who would live for many more (...) years or an old person who would only live for a few. In different numbers cases, we must save either one person or many persons from certain death. We argue that two familiar accounts of respect for persons―an equal worth account, suggested by Jeff McMahan, and a Kantian account, inspired by the Formula of Humanity―have implausible implications in such cases. We develop a new, “three-tiered” account: one that, we claim, generates results in such cases that accord better with many people’s considered judgments than those produced by its rivals. (shrink)

In this paper I introduce a sequent system for the propositional modal logic S5. Derivations of valid sequents in the system are shown to correspond to proofs in a novel natural deduction system of circuit proofs (reminiscient of proofnets in linear logic, or multiple-conclusion calculi for classical logic). -/- The sequent derivations and proofnets are both simple extensions of sequents and proofnets for classical propositional logic, in which the new machinery—to take account of the modal vocabulary—is directly motivated in terms (...) of the simple, universal Kripke semantics for S5. The sequent system is cut-free and the circuit proofs are normalising. (shrink)

In this paper we offer a new argument for the existence of God. We contend that the laws of logic are metaphysically dependent on the existence of God, understood as a necessarily existent, personal, spiritual being; thus anyone who grants that there are laws of logic should also accept that there is a God. We argue that if our most natural intuitions about them are correct, and if they are to play the role in our intellectual activities that we take (...) them to play, then the laws of logic are best construed as necessarily existent thoughts -- more specifically, as divine thoughts about divine thoughts. We conclude by highlighting some implications for both theistic arguments and antitheistic arguments. (shrink)

Opponents of genetic enhancement technologies often argue that the pursuit of these technologies will lead to self-defeating collective outcomes, massive social inequalities, or other forms of collective harm. They assume that these harms will outweigh individual benefits. Defenders of genetic enhancement technologies counter that individual benefits will outweigh collective harms and there will be no conflict between individual and collective interests. The present contribution tries to advance the debate by providing a more detailed discussion of the conditions under which individual (...) and collective interests may conflict.It presents a simple model that clarifies the conditions in which the use of genetic enhancement technologies may lead to self-defeating collective outcomes and social inequalities. It argues that given current inequalities, these conditions might indeed obtain as new genetic knowledge leads to a transition in population health. If they do, then genetic enhancement will steepen the social gradient in health. Thus, regulating access to enhancement technologies should be a matter of social justice. (shrink)

A model-theoretic approach to the semantics of set-theoretic discourse.

We present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities between such points. (...) We defuse a number of objections to this Plan, raised by supporters of the American Plan for negation, in which negation is handled via a many-valued semantics. We show that the Australian Plan has substantial advantages over the American Plan. (shrink)

Where $\underline{a}$ is a Turing degree and ξ is an ordinal $ , the result of performing ξ jumps on $\underline{a},\underline{a}^{(\xi)}$ , is defined set-theoretically, using Jensen's fine-structure results. This operation appears to be the natural extension through $(\aleph_1)^{L^\underline{a}}$ of the ordinary jump operations. We describe this operation in more degree-theoretic terms, examine how much of it could be defined in degree-theoretic terms and compare it to the single jump operation.

The function or intended use of a device such as a fire escape is escape from fire, whether or not it is ever actually used as such or it acquires other uses. Biological function, on the other hand, depends, in one way or another, on actual use. Philosophical attempts to explain artifact function by analogy with biological function or to build a unified theory of function are nonetheless common. What such attempts routinely overlook, however, is the role of forethought in (...) intentional function. I defend the traditional intended use view of function, emphasize the role of forethought and argue that design intentions are rationally grounded in a design brief, for which there is no obvious natural analogue. (shrink)

Part 1 [Hodes, 2021] “looked under the hood” of the familiar versions of the classical propositional modal logic K and its intuitionistic counterpart. This paper continues that project, addressing some familiar classical strengthenings of K and GL), and their intuitionistic counterparts. Section 9 associates two intuitionistic one-step proof-theoretic systems to each of the just mentioned intuitionistic logics, this by adding for each a new rule to those which generated IK in Part 1. For the systems associated with the intuitionistic (...) counterparts of D and T, these rules are “pure one-step”: their schematic formulations does not use □ or ♢. For the systems associated with the intuitionistic counterparts of K4, etc., these rules meet these conditions: neither □ nor ♢ is iterated; none use both □ and ♢. The join of the two systems associated with each of these familiar logics is the full one-step system for that intuitionistic logic. And further “blended” intuitionistic systems arise from joining these systems in various ways. Adding the 0-version of Excluded Middle to their intuitionistic counterparts yields the one-step systems corresponding to the familiar classical logics. Each proof-theoretic system defines a consequence relation in the obvious way. Section 10 examines inclusions between these consequence relations. Section 11 associates each of the above consequence relations with an appropriate class of models, and proves them sound with respect to their appropriate class. This allows proofs of some failures of inclusion between consequence relations. Section 12 proves that the each consequence relation is complete or weakly complete, that relative to its appropriate class of models. The Appendix presents three further results about some of the intuitionistic consequence relations discussed in the body of the paper. For Keywords, see Part 1. (shrink)

Science fiction fandoms tend to contain significant numbers of fans who feel angry and resentful about the handling of the franchise they are fans of, because of the stories the franchises owners have told. The paper addresses the question of when, if ever, such anger and resentment are justified. Special attention will be paid to Star Trek fandom, but other fandoms will be considered, including those for Star Wars and Doctor Who. Various proposed justifications for anger and resentment will be (...) considered, including that franchise owners have misled fans about the stories they would tell, have wasted opportunities to produce good art, have reduced the value of older art, have engaged in a form of cultural appropriation by repurposing old characters, have caused needless offense of a sort akin to the offense of religious sensibilities, have offended against the principle of utility, and have taken advantage of unjust copyright laws. The paper does not champion a conclusion about when, if ever, fan anger and resentment are justified. However, it is concluded that, contrary to what is often assumed, it is not obvious that fan anger and resentment are always unjustified, and so fan anger and resentment cannot always be dismissed out of hand. (shrink)

I prove that the Boolean Prime Ideal Theorem is equivalent, under some weak set-theoretic assumptions, to what I will call the Cut-for-Formulas to Cut-for-Sets Theorem: for a set F and a binary relation |- on Power(F), if |- is finitary, monotonic, and satisfies cut for formulas, then it also satisfies cut for sets. I deduce the CF/CS Theorem from the Ultrafilter Theorem twice; each proof uses a different order-theoretic variant of the Tukey- Teichmüller Lemma. I then discuss relationships between various (...) cut-conditions in the absence of finitariness or of monotonicity. (shrink)

Community has been both celebrated and demonized as a fortress that shelters and defends its members from being exposed to difference. Instead of abandoning community as an antiquated model of relationships that is ill suited for our globalized world, this book turns to the writings of Giorgio Agamben, Roberto Esposito, and Jean-Luc Nancy in search for ways to rethink community in an open and inclusive manner. Greg Bird argues that a central piece of this task is found in how (...) each philosopher rearticulates community not as something that is proper to those who belong and improper to those who are excluded or where inclusion is based on one’s share in common property. We must return to the forgotten dimension of sharing, not as a sharing of things that we can contain and own, but as a process that divides us up and shares us out in community with one another. This book traces this problem through a wide array of fields ranging from biopolitics, communitarianism, existentialism, phenomenology, political economy, radical philosophy, and social theory. (shrink)

Philosophers expend considerable effort on the analysis of concepts, but the value of such work is not widely appreciated. This paper principally analyses some arguments, beliefs, and presuppositions about the nature of design and the relations between design and science common in the literature to illustrate this point, and to contribute to the foundations of design theory.

The hypothesis that God supernaturally raised Jesus from the dead is argued by William Lane Craig to be the best explanation for the empty tomb and postmortem appearances of Jesus because it satisfies seven criteria of adequacy better than rival naturalistic hypotheses. We identify problems with Craig’s criteria-based approach and show, most significantly, that the Resurrection hypothesis fails to fulfill any but the first of his criteria—especially explanatory scope and plausibility.

Proof uses forcing on perfect trees for 2-quantifier sentences in the language of arithmetic. The result extends to exact pairs for the hyperarithmetic degrees.

Relative to any reasonable frame, satisfiability of modal quantificational formulae in which “= ” is the sole predicate is undecidable; but if we restrict attention to satisfiability in structures with the expanding domain property, satisfiability relative to the familiar frames (K, K4, T, S4, B, S5) is decidable. Furthermore, relative to any reasonable frame, satisfiability for modal quantificational formulae with a single monadic predicate is undecidable ; this improves the result of Kripke concerning formulae with two monadic predicates.

Let I be a countable jump ideal in $\mathscr{D} = \langle \text{The Turing degrees}, \leq\rangle$ . The central theorem of this paper is: a is a uniform upper bound on I iff a computes the join of an I-exact pair whose double jump a (1) computes. We may replace "the join of an I-exact pair" in the above theorem by "a weak uniform upper bound on I". We also answer two minimality questions: the class of uniform upper bounds on I (...) never has a minimal member; if ∪ I = L α [ A] ∩ ω ω for α admissible or a limit of admissibles, the same holds for nice uniform upper bounds. The central technique used in proving these theorems consists in this: by trial and error construct a generic sequence approximating the desired object; simultaneously settle definitely on finite pieces of that object; make sure that the guessing settles down to the object determined by the limit of these finite pieces. (shrink)