Although Aristotle (Metaphysics, Book IV, Chapter 2) was perhaps the first person to consider the part-whole relationship to be a proper subject matter for philosophic inquiry, the Polish logician Stanislow Lesniewski [15] is generally given credit for the first formal treatment of the subject matter in his Mereology.1 Woodger [30] and Tarski [24] made use of a specific adaptation of Lesniewski's work as a basis for a formal theory of physical things and their parts. The term 'calculus of individuals' was (...) introduced by Leonard and Goodman [14] in their presentation of a system very similar to Tarski's adaptation of Lesniewski's Mereology. Contemporaneously with Lesniewski's development of his Mereology, Whitehead [27] and [28] was developing a theory of extensive abstraction based on the two-place predicate, 'x extends over y\ which is the converse of 'x is a part of y\ This system, according to Russell [22], was to have been the fourth volume of their Pήncipia Mathematica, the never-published volume on geometry. Both Lesniewski [15] and Tarski [25] have recognized the similarities between Whitehead's early work and Lesniewski's Mereology. Between the publication of Whitehead's early work and the publication of Process and Reality [29], Theodore de Laguna [7] published a suggestive alternative basis for Whitehead's theory. This led Whitehead, in Process and Reality, to publish a revised form of his theory based on the two-place predicate, 'x is extensionally connected with y\ It is the purpose of this paper to present a calculus of individuals based on this new Whiteheadian primitive predicate. (shrink)

In referendum elections, voters are often required to register simultaneous votes on multiple proposals. The separability problem occurs when a voter’s preferred outcome on one proposal depends on the outcomes of other proposals. This type of interdependence can lead to unsatisfactory or even paradoxical election outcomes, such as a winning outcome that is the last choice of every voter. Here we propose an iterative voting scheme that allows voters to revise their voting strategies based on the outcomes of previous iterations. (...) Using a robust computer simulation, we investigate the potential of this approach to solve the separability problem. (shrink)

The title of this volume -- Logic, God and Metaphysics -- is carefully chosen and, at the same time, descriptive of its main focus. In the twentieth century, the interests of most philosophers and theologians have fallen into only one of the three areas indicated -- logic, god or metaphysics. Since much of Anglo-American philosophy in this century has been analytic and antimetaphysical because of the influence of positivism, there have been few attempts at continuing metaphysical inquiry. In the early (...) part of the century, the logical atomists combined logic and metaphysics by arguing that the structure of reality is mirrored isomorphically in the structure of a formal, logically perfect, truth-functional language, but their effort was short-lived. Alfred North Whitehead and process philosophers have focused upon god and metaphysics but usually by adopting terminology and distinctions which are unique to certain systems -- making rigorous, logical analysis difficult or impossible. The papers included in this volume are illustrative of the application of careful, rigorous logical analysis to do critical philosophy of religion and what has been called constructive metaphysics. (shrink)

In Process and Reality, Whitehead explicitly states what he conceives his task to be: “Speculative Philosophy,” he writes, “is the endeavor to frame a coherent, logical, necessary system of general ideas in terms of which every element of our experience can be interpreted.” He then goes on to explain what he means by the key terms in this passage. By ‘in terms of which every element of our experience can be interpreted’, “I mean,” he explains, “that everything of which we (...) are conscious, as enjoyed, perceived, willed, or thought, shall have the character of a particular instance of the general scheme.” This universality, or all-comprehensiveness, of the system is interpreted in terms of two characteristics: applicability and adequacy. Whitehead explains: “Here ‘applicable’ means that some items of experience are thus interpretable, and ‘adequate’ means that there are no items incapable of such interpretation.” It is these two characteristics of the system which give an explication of the term ‘necessary’ as applied to the system of general ideas: “The metaphysical first principles can never fail of exemplification. We can never catch the actual world taking a holiday from their sway.”. (shrink)

Rudolph Carnap’s Aufbau was one of the more ambitious philosophical programs of the twentieth century. His proposal was to begin with elementarerlebnisse —cross sections of one total stream of experience temporally limited by the least perceivable segment of time—and an undefined primitive relation, recollection of similarity, holding between the elementary experiences. Without any further non-logical terms, the goal was to utilize a logic, such as that of Principia Mathematica, and actually to construct logically, or to define formally, all the kinds (...) of entities, phenomenal, physical, psychological and cultural, which we usually take to make up our world. Unfortunately, the program is not completed. Only what Carnap refers to as the lower levels is actually formally constructed—that is, what might be called the phenomenal level. The remainder of the constructional program is only suggested in outline. (shrink)

In this work Ivor Leclerc argues for the contemporary need for a philosophy of nature, a discipline which he takes to be a casualty of the acceptance of the early nineteenth century conception of physics as a mechanics, the science of matter in locomotion in space and time. One of the main consequences of this conception of physics, which grows out of the seventeenth century conception of nature, has been that philosophy cannot have "nature" as its object; rather, the object (...) of philosophy is "science" itself, not nature. The result of this consequence has been, according to Leclerc, "an obscuring, indeed a blocking, of the realization of the full magnitude and extent of the twentieth-century developments in science, in particular of the most fundamental respects, namely, the ontological and metaphysical, in which those developments have affected the conception of nature". This has worked to the disadvantage of both the philosopher and the scientist. In Part 1 Leclerc is primarily concerned with making the above case, while Part 2 is devoted to a historical investigation into the development of the concepts involved in the conception of "physics as a mechanics" and Part III is primarily devoted to a criticism of this view of physics and a suggestion concerning the direction a philosophy of nature should take in the later part of the twentieth century. (shrink)

Clark Butler has given us an English version of Hegel’s 1831 Lectures on Logic, the last course he was to complete before his death. The course was transcribed by his son Karl and first published in 2001 . Although the manuscript is not Hegel’s own, its contents are unmistakably authentic, opening an interesting window on Hegel’s thinking while he was preparing a second edition of the Logic. Readers familiar with that work will find that the content of the lectures conforms (...) to the standard version. But the real interest of these lectures lies in Hegel’s freer discussion of the logical categories, in the course of which he frequently gives illustrations from ethics and history.Butler’s interest in the lectures is in keeping with Hegel’s intention to reach a wider audience ; accordingly, Butler has introduced numerous interpolations in order to “produce a readable text for those who are not Hegel scholars” and to “make the science of logic not only readable but teachable” . It may be questioned, however, to what extent Butler has succeeded. One difficulty stems from his intention to heed “Hegel’s professed true intent” , even where this brings him into conflict with the letter of the text. Noting that Hegel’s “panlogicist. (shrink)

The paper by Bowman-Smart et al. (2023) on noninvasive prenatal genetic testing (NIPT) for non-medical traits aims to set out the case for and the case against such testing. In response to their pa...

Nel 1726 lo scozzese Walter Bowman intrattenne una corrispondenza con Samuel Clarke su «the power of self-motion», un argomento che Clarke aveva trattato nella sua Demonstration of the Being and Attributes of God. Le due lettere inedite di Clarke, qui presentate, sono parte di quella vasta corrispondenza che il teologo ebbe con filosofi e uomini di lettere dopo la pubblicazione della Demonstration. In questo saggio si ricostruiscono gli argomenti di Clarke, in primo luogo quelli relativi (...) alla dimostrazione dell’esistenza di Dio, evidenziando le influenze di Cartesio, Locke e Newton. I commenti di Bowman, raccolti insieme alle lettere nella sua opera Fugitive Manuscripts, ci aiutano a vedere come Clarke elabori una teoria meccanicistica dell’azione e, come emerge dalle lettere, debba successivamente precisarla ricorrendo a due principi: «Pain is to be avoided and Novelties are to be attended with a sort of curiosity». (shrink)

This article argues against Bowman Clarke's attempt to eliminate futurity from the God of Process.

A growing number of philosophers now hold that agent causation is required for agency, or free will, or moral responsibility. To clarify what is at issue, this paper begins with a distinction between agent causation that is ontologically fundamental and agent causation that is reducible to or realized in causation by events or states. It is widely accepted that agency presents us with the latter; the view in question claims a need for the former. The paper then examines a “disappearing (...) agent” argument from Derk Pereboom that is aimed at showing that free will requires agent causation that is ontologically fundamental. It is argued that the argument fails. Further, it is argued that, contrary to Pereboom’s claim, the issue raised by his disappearing agent argument is distinct from the problem of present luck that libertarian theories of free will face. The paper concludes with an assessment of the prospects for success of a disappearing agent argument showing that agent causation that is ontologically fundamental is required for agency tout court. (shrink)

This paper argues for a treatment of belief as essentially sensitive to certain features of context. The first part gives an argument that we must take belief to be context-sensitive in the same way that assertion is, if we are to preserve appealing principles tying belief to sincere assertion. In particular, whether an agent counts as believing that p in a context depends on the space of alternative possibilities the agent is considering in that context. One and the same doxastic (...) state may amount to belief that p in one context but not another. The second part of the paper gives a formal treatment of doxastic states, according to which belief is context-sensitive along just these lines. The model is applied to characterize (but not to refute) skeptical arguments. (shrink)

It is often assumed that adaptation — a temporary change in sensitivity to a perceptual dimension following exposure to that dimension — is a litmus test for what is and is not a “primary visual attribute”. Thus, papers purporting to find evidence of number adaptation motivate a claim of great philosophical significance: That number is something that can be seen in much the way that canonical visual features, like color, contrast, size, and speed, can. Fifteen years after its reported discovery, (...) number adaptation’s existence seems to be nearly undisputed, with dozens of papers documenting support for the phenomenon. The aim of this paper is to offer a counterweight — to critically assess the evidence for and against number adaptation. After surveying the many reasons for thinking that number adaptation exists, we introduce several lesser-known reasons to be skeptical. We then advance an alternative account — the old news hypothesis — which can accommodate previously published findings while explaining various (otherwise unexplained) anomalies in the existing literature. Next, we describe the results of eight pre-registered experiments which pit our novel old news hypothesis against the received number adaptation hypothesis. Collectively, the results of these experiments undermine the number adaptation hypothesis on several fronts, whilst consistently supporting the old news hypothesis. More broadly our work raises questions about the status of adaptation itself as a means of discerning what is and is not a visual attribute. (shrink)

There is widespread agreement about a combination of attributes that someone needs to possess if they are to be counted as a conservative. They need to lack definite political ideals, goals or ends, to prefer the political status quo to its alternatives, and to be risk averse. Why should these three highly distinct attributes, which are widely believed to be characteristic of adherents to a significant political position, cluster together? Here I draw on prospect theory to develop an explanation for (...) the clustering of attributes that is characteristic of conservatives. I argue that a lack of political ideals is the underlying driver of conservatism. I will provide reason to believe that people who lack political ideals are disposed to prefer the political status quo to its alternatives; and reason to believe that people who prefer the political status quo to its alternatives are disposed to be risk averse, at least with respect to significantly many of the risks that arise in the social and political domain. I also consider and reject some other potential explanations for the clustering of attributes that is characteristic of conservatives and sketch some policy implications that follow from the explanation I develop. (shrink)

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that (...) these ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

This paper comments on Carolina Sartorio’s Causation and Free Will, challenging the non-modal conception of reasons-sensitivity that Sartorio advances.

This comprehensive study offers a balanced assessment of libertarian accounts of free will. Bringing to bear recent work on action, causation, and causal explanation, Clarke defends a type of event-causal view from popular objections concerning rationality and diminished control. He subtly explores the extent to which event-causal accounts can secure the things for the sake of which we value free will, judging their success here to be limited. Clarke then sets out a highly original agent-causal account, one that (...) integrates agent causation and nondeterministic event causation. He defends this view from a number of objections but argues that we should find the substance causation required by any agent-causal account to be impossible. Clarke concludes that if a broad thesis of incompatibilism is correct--one on which both free will and moral responsibility are incompatible with determinism--then no libertarian account is entirely adequate. (shrink)

An important work in the debate between materialists and dualists, the public correspondence between Anthony Collins and Samuel Clarke provided the framework for arguments over consciousness and personal identity in eighteenth-century Britain. In Clarke's view, mind and consciousness are so unified that they cannot be compounded into wholes or divided into parts, so mind and consciousness must be distinct from matter. Collins, by contrast, was a perceptive advocate of a materialist account of mind, who defended the possibility that (...) thinking and consciousness are emergent properties of the brain. Appendices include philosophical writings that influenced, and responded to, the correspondence. (shrink)