My goal in this paper is to contribute to the literature on Roger Bacon's epistemology by focusing on the issue of perception of quantity. The reading I aim to substantiate is that Bacon's account is best understood in terms of indirect realism. I call it indirect realism because although we have access to quantities as they exist in nature, the account is mediated by the use of a quasi-syllogism. The quasi-syllogism is constructed based on three inputs, the species of the (...) eye, colour, and light. To defend this reading I follow five steps. First, I analyse the importance of quantity in perception, and then, in steps two and three, I look at Bacon's theory of perception from its two sides, extramission and intromission. In the fourth step I look at the quasi-syllogisms that mediate cognition of quantities, and in the fifth and final step, I draw all the threads together and make the case for Bacon's indirect realism of quantity perception. (shrink)

1. Imagine that all our beliefs are organized as a web. Let us also imagine that there is a hierarchy among our beliefs. The stronger beliefs, located closer to the centre of the web, underpin the...

This paper presents a taxonomy of divisibilism, a philosophical perspective advocating for the infinite divisibility of continua. The taxonomy is founded on various conceptualizations of indivisibles, enabling the identification of two types of divisibilism: ‘moderate’ and ‘strong’. The former denies indivisibles as constituent parts of magnitudes, whereas the latter rejects indivisibles as even intrinsic elements (such as limits or junctions) of magnitudes. The paper proceeds to demonstrate how Gregory of Rimini falls into the second category, utilizing geometry and non-entitism as (...) primary tools to dismiss the very possibility of the existence of indivisibles. Within the framework of this ‘strong divisibilism’, the paper also examines Gregory’s interpretation of mathematical items (e.g. points, lines, surfaces) against the backdrop of one of his main sources, that is, Augustine. Lastly, the paper delves into Gregory’s interpretation of the fundamental Aristotelian divisibilist claim, namely, that a continuum is infinitely divisible. It highlights how Gregory’s stance ultimately conflicts with Aristotelian premises, particularly concerning his assertion that the division of all continua is made into infinitely many actual parts. (shrink)

Despite its position in an introductory work to logic, the account of continuity presented by Abū Naṣr Al-Fārābī in his paraphrase of Aristotle’s Categories is apparently even less accessible to the beginner than Aristotle’s original. This is in part because Al-Fārābī integrated elements of the accounts of continuity in Aristotle’s Physics and Metaphysics into an account mainly derived from Aristotle’s Categories. While Al-Fārābī’s account chiefly follows Aristotle’s Categories 6 in describing a continuous object that can be divided into parts with (...) a shared boundary, it borrows the terminology of limits from Physics 5 and the notion of quantity as divisible into its parts from Metaphysics 5.13. In doing so, Al-Fārābī defines continuity using a notion of a limit without determining whether or not it was part of the continuous quantity. This definition could also accommodate atomists, since it would work even if the limit were an atom or several atoms that were part of the continuous object. The broadness of this definition is probably intended to allow students of logic who may have atomist tendencies to accept the account of quantity in the categories tradition, even though they may not be ready to reject atomism until after studying physics. (shrink)

The paper argues that Roger Bacon adhered to a unique form of geometrical atomism, according to which elemental matter can be analysed into cubic (when at rest) or pyramidal (when in motion) portions. Bacon addressed geometrical atomism from the perspective of the Aristotelian review, using his interpretation of Aristotelian principles to render the theory plausible. He was mostly concerned with solving the contradiction between the angular shapes of the portions and the shape of the elemental spheres. His motivation for doing (...) so, I argue, was his conviction in the applicability of geometry onto natural philosophy, and his goal was to render matter capable of geometrical analysis. In this way, he was convinced, geometrical properties can be considered efficient causes of matter’s spatial formation and motion. (shrink)

During the thirteenth century, Aristotelian hylomorphism became the cornerstone of scholastic natural philosophy. However, this theory was fragmented into a plurality of interpretations and reformulations, sparking a rich philosophical debate. This article focuses on Robert Grosseteste (d. 1253), one of the earliest Latin philosophers to directly engage with Aristotle’s natural philosophy. Specifically, it delves into Grosseteste’s perspective on hylomorphism, emphasizing two controversial doctrines that characterized British scholasticism in the late thirteenth century: universal hylomorphism and formal pluralism. The former claims that (...) all substances, whether bodily or spiritual, are hylomorphic compounds, that is, they are made of matter and form. Formal pluralism, in turn, maintains that hylomorphic substances possess more than one substantial form simultaneously. After a brief introduction, the paper proceeds, first, to examine the type of hylomorphism endorsed by Grosseteste, shedding light on an obscure passage that seems to suggest universal hylomorphism. Second, the examination expands on Grosseteste’s theory of bodily form and emphasizes the apparent contradiction of this theory with universal hylomorphism. The discussion then turns to Grosseteste’s endorsement of formal pluralism and the functionality he envisioned being expressed by the bodily form. Finally, the paper draws conclusions about Grosseteste’s revised hylomorphic account. (shrink)

This paper explores a specific problem within an important philosophical genre of the fourteenth century: the debates over the perfection of species. It investigates how the problem of defining limits for continuous magnitudes – a problem typical of Aristotelian physics – was integrated into these debates at the levels of genera, species, and individuals as these entities began to be conceptualized in quantitative terms. After explaining the emergence of this problem within fourteenth-century metaphysics, the paper examines the contributions of three (...) philosophers – Hugolinus of Orvieto, John of Ripa, and Paul of Venice – who offered varying solutions to the challenge of defining limits between species. It demonstrates that two primary solutions arose, inspired by continuous and discrete mathematical objects. It is shown that whereas Hugolinus of Orvieto advocates for a continuist model, John of Ripa proposes a discrete one. The last part of the paper examines Paul of Venice's hybrid approach, which combines elements from both models, facilitating a more comprehensive treatment of species particularly difficult to analyse, namely geometric figures. The conclusions of this comparative study underscore how profoundly the metaphysical reflections of the Middle Ages contributed to the analysis of the structure of the continuum and the extension of the notion of quantity to various objects. (shrink)

According to the Aristotelian account of substantial change, that is, the corruption of one substance and the generation of another, prime matter must be found at the starting and at the end point of change, as that which persists throughout the change. But knowing that matter remains as the substrate of change tells us little about the nature of this matter, which constitutes both the corrupted substance and the new generated substance. Among the questions we can ask about its nature (...) are whether prime matter is an entity of its own apart from form; whether it is one in all those individual material substances or is somehow divided or partitioned into different parts. Early commentaries on the Physics and Metaphysics were interested in precisely these questions about the unity and divisibility of prime matter and about what kind of unity this may be. This article aims to investigate how authors from the English commentary tradition in the period 1250–1270 answered these questions. (shrink)

This paper compares the conception of substantial change put forth by Peter of Mantua (d. 1399) in his De primo et ultimo instanti with the one developed by Albert of Saxony (ca. 1320–1390). According to Albert, (i) each substantial form, save for the intellective soul, is a spatially-extended entity with actual quantitative parts that are co-located with the parts of matter they inform, and (ii) these quantitative parts are generated and corrupted one after another over an extended interval of time. (...) From (i) and (ii), Albert deduces that (iii) the substantial change of material substances as individuals (save for human beings) is a temporally extended process. This is what I call the ‘piecemeal’ conception of substantial change. I show that Peter of Mantua is significantly indebted to this conception. Indeed, he endorses both (i) and (ii). Moreover, he even extends this approach to the process by which the intellective soul informs matter and is separated from it. Nevertheless, I argue that, thanks to his peculiar doctrine of numerical sameness over time, Peter rejects (iii) and maintains, instead, that the substantial change of any material substance as an individual is an instantaneous event. (shrink)

Aristotle grants perceptible qualities the power to generate sense perception in animals. But it is unclear whether, for him, these qualities can produce any effect other than perception. In this paper I address this issue through a novel approach. To show that they can produce non-perceptual effects, I explore contexts in his extant works where qualities appear to do causal work in nature without leading to perception in animals. This inquiry aims to demonstrate that Aristotle’s realism about qualities survives a (...) potential threat posed by views that dispute the qualities’ causal efficacy outside perception. (shrink)

The essays collected in this volume discuss, in different styles and to various extents, a relatively neglected theme in philosophy. This theme is the limits of intelligibility or, in the editor’s...

This is the first English translation of Ibn Sīnā's (Avicenna) Commentary on Chapters 6-10 of Aristotle's Metaphysics Λ. It is significant as it is one of only a small number of surviving commentaries by Ibn Sīnā and offers crucial insights into not only his attitudes towards his predecessors, but also his own philosophical positions — especially with regard to the human intellect's connections to God and the cosmos — and his attempt to develop a distinctive mode of commentary.

In this paper, I argue for a novel defence of the view that attributes are numerically distinct for Spinoza, which, contrary to paradigmatic objectivist readings, does not contradict his substance monism nor commit him to the view that the only substance has more than one essence. I show that Spinoza offers three overlooked arguments for attribute unity that are consistent with my interpretation. Next, I turn to the perspectivist interpretations of Spinoza’s theory of attributes, dominant in Spinoza scholarship today, under (...) which each attribute is one way in which the whole essence of the only substance can present itself to the intellect. I contend that my interpretation has two advantages over these readings: it can accommodate Spinoza’s arguments of attribute-essence symmetry and essence-modes proportionality. (shrink)

Margaret Cavendish’s conception of memory has received little scholarly attention. Here, I taxonomize various notions of memory within her system, focusing primarily on a crucial distinction between what she calls ‘memory’ and what she calls ‘remembrance.’ I argue that Cavendish considers remembrance a more general and pervasive action in nature than memory. Memory, an action uniquely associated with animal creatures, refers to the animal’s reason storing past sense perceptions and conceptions such as thoughts, ideas, imaginations, etc. Remembrances, or voluntary repetitions (...) of past motions, manifest in two varieties. In the first, the animal retrieves perceptions or conceptions stored in memory. In the second, which all creatures exhibit, a creature’s parts voluntarily repeat past actions via custom or habit, such as in respiration and photosynthesis. These remembrances do not rely on anything stored in memory but derive directly from what Cavendish calls a creature’s ‘self-knowledge.’. (shrink)

The aim of this paper is to develop a new reconstruction of Sartre’s arguments against Kant’s account of the unity of experience in the transcendental deduction. In the Transcendence of the Ego, Sartre presents several arguments to show that Kant is unwarranted in moving from the claim that we can attach an ‘I think’ to our representations to the claim that this is made possible by a synthetic unity of apperception. While Sartre’s criticism of Kant’s conception of the ego is (...) central to Sartre’s existential philosophy, there is still little agreement on what Sartre’s criticisms actually amount to, let alone whether these criticisms are successful. I argue that to make sense of Sartre’s argument here, we must see it as relying on a distinction between two different models of what it is for something to be organized or determined. By doing so, we can see why Sartre believes consciousness does not need the ‘I think’ in order to be unified, but also why Sartre believes we are nonetheless led to posit this moment of unification. (shrink)

Scotus’ theory of identity and distinction is a unique and central aspect of his thought, as he applies it throughout his metaphysics. On Scotus’s account of identity, the indiscernibility of identicals fails—i.e., A and B can be identical but not share all the same properties. As Ockham objected, Scotus is now in the difficult position of needing to provide alternative necessary and sufficient conditions for being identical, rather than simply invoking indiscernibility. The secondary literature has argued that the lack of (...) actual or potential separation is both necessary and sufficient for identity. I argue that is incorrect and provide alternative necessary and sufficient conditions for identity and real distinction, along with an analysis of Scotus’s theory of identity and distinction more broadly. Scotus thinks instead that the lack of actual, potential, and proportional separation are necessary and sufficient conditions for identity. The deeper root of this view is that identity corresponds to a certain degree of unity, and is accompanied by a sharing of esse. (shrink)