Assertion plays a crucial dual role in Frege's conception of logic, a formal and a transcendental one. A recurrent complaint is that Frege's inclusion of the judgement-stroke in the Begriffsschrift is either in tension with his anti-psychologism or wholly superfluous. Assertion, the objection goes, is at best of merely psychological significance. In this paper, I defend Frege against the objection by giving reasons for recognising the central logical significance of assertion in both its formal and its transcendental role.

In this paper, I interview Francesca De Vecchi (Full Professor of Theoretical Philosophy in Vita-Salute San Raffaele University) about her qualitative ontology and its social and normative implications. If at the foundation of our lifeworld there are significantly qualitative experiences, phenomenology can investigate the most important contemporary issues, such as gender disparity, socio-virtuality depersonalizations and political urgencies.

Our perception of where touch occurs on our skin shapes our interactions with the world. Most accounts of cutaneous localisation emphasise spatial transformations from a skin-based reference frame into body-centred and external egocentric coordinates. We investigated another possible method of tactile localisation based on an intrinsic perception of ‘skin space’. The arrangement of cutaneous receptive fields (RFs) could allow one to track a stimulus as it moves across the skin, similarly to the way animals navigate using path integration. We applied (...) curved tactile motions to the hands of human volunteers. Participants identified the location midway between the start and end points of each motion path. Their bisection judgements were systematically biased towards the integrated motion path, consistent with the characteristic inward error that occurs in navigation by path integration. We thus showed that integration of continuous sensory inputs across several tactile RFs provides an intrinsic mechanism for spatial perception. (shrink)

When we read a list of words, are we doing something, or is it something that just happens to us? On the one hand, according to intention-for-action theories, reading can be active only if we do it intentionally, meaning that the action is caused and sustained by the agent’s intention. Many cases of reading seem to be intentional: consider, for instance, when a person is reading a novel, a newspaper article, or an academic paper. Yet, reading often seems to be (...) something that passively happens to us. It is sufficient that a word appears in front of us to make us read it. Numerous studies on the Stroop task – a well-known experimental set-up in the cognitive sciences – make clear that reading is unavoidable, suggesting that reading takes place regardless of the agent’s intention. This tension constitutes the reading puzzle. I argue that if intention is necessary for a process to be active, then intention-for-action theories fail to account for such a distinctive human activity as reading. I conclude that reading represents a real challenge to the intention-for-action theories and shows that what an agent can actively do should not be limited to behaviors that involve intentions. (shrink)

Beginning with the work of Olafur Eliasson, with particular reference to the recent exhibition “Trembling Horizons” but not limited to it, a number of works representative of an artistic vision that might be called eco-logical are analyzed. Not only by explicitly thematizing the issue of the environmental crisis, Eliasson's works seem to materially express the demands of theorists who question how art can actively respond to the need for a shift in outlook that characterizes current events. Starting from the idea (...) of art as praxis, which allows the viewer to regard himself or herself and to place himself or herself in relation to what surrounds us – human and non-human – Eliasson's works act on the intrinsic objecthood of the work itself by creating a relationship with otherness and datity. They generate, therefore, a feeling of proximity, which concretizes a meaning of creativity in a transformative and site-specific sense; they promote an eco-logic that has its basis in a nomadic and depotentiated vision of subjectivity, engendering a feeling of interconnectedness and care. It will be argued in this paper the need to rethink art in these terms by hypothesizing a particular efficacy of some works that actively work in public space: places where the split between nature and culture has taken place, urban and public space are privileged contexts to actively promote the overcoming of this fracture and generate ethically responsible, already intrinsically ecological subjects. (shrink)

The aim of this paper is to investigate Nishida Kitarō’s way of philosophizing in the light of the concept of “transition” in order to deepen our understanding of both Nishida’s philosophy and our thinking about and in transitions, using the concept of “boundary” or “border” (Grenze) as a catalyst. For that purpose, we focus on Nishida’s essay “Place” (「場所」), passing through different parts of the text as if through successive gates on a path of transition between one place and the (...) next, until we reach the final place of “absolute nothingness.” Dwelling on this place, we turn our attention to its internal structure and try to depict it along the outlines of a boundary, following the movements taking place in Nishida’s essay. The second part proposes an interpretation of the place of nothingness as an interminable practice of boundary-crossing that doesn’t come to a halt in a final, all-encompassing place, but dynamically situates itself on countless intersecting planes. After a more or less abstract analysis of the concept of “boundary,” we will apply and concretize this approach by using the example of the skin. To this end, we expose five main features of the skin as boundary: permeability, enclosure, excessiveness, interstitiality and reciprocal self-formation. (shrink)

This essay details the reception of Bruno's works in Goethe's unpublished texts, with a special emphasis on the Frankfurt Poems. Puccini analyzes Goethe's interpretation in the light of his studies in the field of natural sciences. In particular, she aims to show how Goethe's research interacts with Bruno's meditations on the unity and infinity of the universe/nature. After a first period (1770-1802) in which Goethe's interest in the Nolan philosopher is dominated by a Neoplatonic reading of Bruno's cosmology, between 1812 (...) and 1829 the scientist-poet's criticism of nineteenth-century scientifìc culture recalls Bruno's attacks against the conformity of the "insani", those intellectuals who passively follow the dominant paradigms. Their interpretation of natural phenomena is irredeemably corrupted by the passive acceptance of wrong hypotheses. (shrink)

The author reconstructs the psychological interpretation of Giordano Bruno's personality through the work of Wilhelm Dilthey, who defined him a central figure in the history of modern thought, and who thus contextualized the interpretation of the implicit 'historical problem' in Bruno in the broader frame of the foundation of the humanities according to a 'descriptive and analitical' psychology. The latter scrutinizes through biographical research the link between individual life and historical moment. Now, Bruno's case is an illustrative example of "Lebensverfassung", (...) that is, of a particular "psychical constitution" that explains the links between physical and spiritual worlds, and attributes a superior sense to the very facts of cultural history. (shrink)

Il saggio fa parte del volume collettaneo "La trama del testo. Su alcune letture di Nietzsche" e ricostruisce la genesi dell'interpretazione nietzscheana del Rinascimento italiano.

The article aims to highlight the metaphysical, epistemological and practical implications of some terms used by Bruno in magical and mnemotechnical works, showing the analogies with the Italian Dialogues. In the Spaccio de la bestia trionfante and in the Cabala del cavallo pegaseo, in particular, the search of the first and true good passes through the moral elevation of the human race, from a semi-feral condition to one of ‘civil conversation’, thanks to the careful use of the arts of Dissimulation (...) and the supernatural intervention of some divinities, to whose personifications Bruno associates a heuristic function, as well as a specific place in the art of memory. Thanks to the wise use of the constellation of images and ‘inner statues’ that populate the mind of the hero in search of the divine, it is possible to raise the gaze of knowledge from the sensitive reality to the supersensible world, until reaching the first Principle of everything, as some passages show in the De vinculis in genere and in the De imaginum, signorum et idearum compositione. The first Principle, that Bruno also calls ‘superessential’, represents the culmination of spiritual elevation, and, at the same time, a prefiguration of the Hegelian Absolute. (shrink)

La relazione di Francesca Puccini è stata presentata al seminario di Studio "Il problema anima-corpo alla luce dell'etica. Pomponazzi, Vanini, Helvétius". Roma, Villa Mirafiori, 17 marzo 2014.

The paper focuses on the kind of expertise required by doctors in health communication and argues that such an expertise is twofold: both epistemological and communicative competences are necessary to achieve compliance with the patient. Firstly, we introduce the specific epistemic competences that deal with diagnosis and its problems. Secondly, we focus on the communicative competences and argue that an inappropriate strategy in communicating the reasons of diagnosis and therapy can make patient compliance unworkable. Finally, we focus on the case (...) of diabetes metaphor and propose the deliberate use of metaphors in health communication as an educational tool. On the one hand, metaphors might help doctors in explaining the disease in simpler terms and framing the experience of illness according to patient’s specific needs. On the other hand, metaphors might encourage a change in patient’s beliefs on their own experience of illness, and enable them to reach a shared decision making with doctors. (shrink)

What is a gene? Does it represent a natural kind, or is it just a tool for genomics? A clear answer to these questions has been challenged by postgenomic discoveries. In response, I will argue that the gene can be deemed a natural kind as it satisfies some requirements for genuine kindhood. Specifically, natural kinds are projectible categories in our best scientific theories, and they represent nodes in the causal network of the world (as in Khalidi. Natural Categories and Human (...) Kinds: Classification in the Natural and Social Sciences. Cambridge University Press, Cambridge, 2013; Khalidi. Synthese 195: 1379–1396, 2018; Khalidi. Are Sexes Natural Kinds, In: Dasgupta S, Weslake B (eds) Current Controversies in Philoso-phy of Science. Routledge, New York, 2020; Khalidi. Philos Sci 88:1–21, 2021). In Sect. 2, I will present a brief history of the gene and the controversy over its status. In Sect. 3, I will introduce the account of natural kinds considered in this paper. In Sect. 4, I will first present the relevant definition of genes and how they can be classified. Then, I will argue that the gene can be considered a natural kind as it satisfies the criteria for natural kindhood. Section 5 concludes. (shrink)

Function talk is a constant across different life sciences. From macro-evolution to genetics, functions are mentioned everywhere. For example, a limb’s function is to allow movement and RNA polymerases’ function is to transcribe DNA. Biochemistry is not immune from such a characterization; the biochemical world seems to be a chemical world embedded within biological processes. Specifically, biochemists commonly ascribe functions to biomolecules and classify them accordingly. This has been noticed in the recent philosophical literature on biochemical kinds. But while a (...) lot has been written on biological and psychological functions, little has been said explicitly about biochemical fuctions. Here, I explore functional attribution to biochemical molecules. I argue that if we accept this attribution, then biochemical functions are constituted by chemical dispositional properties that causally contribute to selected biological processes. In section 2, I discuss the controversy concerning the characterization of biochemical functions. In section 3, I consider whether a biological or a chemical under- standing of function can be applied to biochemical functions, illustrating the account with the example of vitamin B12. The result is that none of the theories on their own provides an adequate characterization. In section 4, I present an account of biochemical functions. In section 5, I assess this account taking into consideration common requirements for a theory of functions and an objection. (shrink)

The article focuses on a special aspect of Giordano Bruno’s reception in the German culture of the second half of nineteenth century, namely Kurd Lasswitz’s account of Bruno’s atomistic theory of matter contained in his De minimo. In a chapter of his Geschichte der Atomistik vom Mittelalter bis Newton, Lasswitz interprets Bruno’s atomism as an attempt to build a theory of knowledge compatible with the structure of the physical world. The concept of minimum, understood as both the indivisible unity of (...) bodies and the necessary condition of knowledge, leads Bruno to draw conclusions that sometimes turn out to be inconsistent with his physical theory. Although Lasswitz rejects Bruno's conflation of the mathematical and the physical concept of body, together with his extension of the atomic structure to the void, nevertheless, he views Bruno’s critical-gnoseological account of the term ‘atom’ as a substantial contribution to the enhancement of modern science. (shrink)

The global spread of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) or coronavirus disease 19 (COVID-19) has led to the imposition of severely restrictive measures by governments in the Western hemisphere. We feel a contrast between these measures and our freedom. This contrast, we argue, is a false perception. It only appears to us because we look at the issue through our contemporary moral philosophy of utilitarianism and an understanding of freedom as absence of constraints. Both these views can be (...) substituted with more sophisticated alternatives, namely an ethics of virtue and a notion of freedom of the will. These offer a fuller picture of morality and enable us to cooperate with the current restrictions by consciously choosing to adhere to them instead of perceiving them as draconian and immoral. We ask whether we should collaborate with the restrictions and argue that considerations of virtue will lead to an affirmative answer. More broadly, virtue ethics permits to deal with the practical concerns about how an individual should behave during this pandemic, given the current lockdown measures or lack thereof. -/- In section 1, we present how utilitarianism and a notion of freedom as negative liberty support the opposition to restrictive measures. In section 2, we outline an alternative based on an ethics of virtue and a more elaborated notion of free will. In the concluding section 3, we argue that considerations of virtue should guide the individual and public response to the emergency. (shrink)

Il saggio ricostruisce l'origine dell'interpretazione del Rinascimento italiano da parte di Nietzsche, a partire dalla lettura di uno storico francese a lui contemporaneo.

Hermann von Helmholtz’s geometrical papers have been typically deemed to provide an implicitly group-theoretical analysis of space, as articulated later by Felix Klein, Sophus Lie, and Henri Poincaré. However, there is less agreement as to what properties exactly in such a view would pertain to space, as opposed to abstract mathematical structures, on the one hand, and empirical contents, on the other. According to Moritz Schlick, the puzzle can be resolved only by clearly distinguishing the empirical qualities of spatial perception (...) from those describable in terms of axiomatic geometry. This paper offers a partial defense of the group-theoretical reading of Helmholtz along the lines of Ernst Cassirer in the fourth volume of The Problem of Knowledge of 1940. In order to avoid the problem raised by Schlick, Cassirer relied on a Kantian view of space not so much as an object of geometry, but as a precondition for the possibility of measurement. Although the concept of group does not provide a description of space, the modern way to articulate the concept of space in terms of transformation groups reveals something about the structure and the transformation of spatial concepts in mathematical and natural sciences. (shrink)

Introduction: The paper investigates the impact of the use of metaphors in reasoning tasks concerning vaccination, especially for defeasible reasoning cases. We assumed that both metaphor and defeasible reasoning can be relevant to let people understand vaccination as an important collective health phenomenon, by anticipating possible defeating conditions. -/- Methods: We hypothesized that extended metaphor could improve both the argumentative and the communicative effects of the message. We designed an empirical study to test our main hypotheses: participants (N = 196, (...) 78% females; Meanage = 27.97 years, SDage = 10.40) were presented with a text about vaccination, described in either literal or metaphorical terms, based on uncertain vs. safe reasoning scenarios. -/- Results: The results of the study confirmed that defeasible reasoning is relevant for the communicative impact of a text and that an extended metaphor enhances the overall communicative effects of the message, in terms of understandability, persuasion, perceived safety, and feeling of control over the health situation, collective trust in expertise and uptake of experts' advice. However, the results show that this effect is significantly nuanced by the type of defeasible reasoning, especially in the case of participants' trust in expertise and commitment to experts' advice. -/- Conclusion: Both communicative and defeasible reasoning competences are needed to enhance trust in immunization, with possible different outcomes at an individual and collective level. (shrink)

In this paper, we will explore the relation between molecular structure and functions displayed by biochemical molecules in complex physiological processes by using tools from the philosophy of science and the philosophy of scientific practice. We will argue that biochemical functions are weakly emergent from molecular structure by using an account of weak. In order to explore this thesis, we will consider the role of vitamin B12 in contributing to the process of erythropoiesis. The structure of the paper is the (...) following: First, we will consider biochemical functions and why they cannot be easily reduced to their chemical realisers. We will suggest weak emergence as an alternative while also accounting for the relevance of the context, in our case, systemic and organisational. The paper will conclude by considering (1) how the usage of tools from the philosophy of science, such as weak emergence, can aid our understanding of the relations between the components of complex phenomena, such as erythropoiesis, and (2) how the philosophy of scientific practice sheds light on the explanatory role of processes that are dynamically stabilised and the different levels of organisation implied. (shrink)

F. Brencio (2023), Embodied Attention. A phenomenological hypothesis, in D. Stoyanov (Ed.), Contemporary Neuropsychiatry: Implications from Cognitive Neuroscience, Cambridge Scholars Publishing, Cambridge, pp. 26-42.

Epileptogenesis involves an increase in excitatory synaptic strength in the brain in a manner similar to synaptic potentiation. In the present study we investigated the mechanisms of short-term synaptic potentiation in patients with focal epilepsy by using 5 Hz repetitive transcranial magnetic stimulation (rTMS), a non invasive neurophysiological technique able to investigate the mechanisms of synaptic plasticity in humans. Ten patients with focal idiopathic cortical epilepsy were studied. 5 Hz-rTMS (10 stimuli-trains, 120% of motor threshold, RMT) was delivered over the (...) first dorsal interosseus (FDI) motor area of both (affected and unaffected) hemispheres. Changes in the motor evoked potential (MEP) size in the FDI muscle during the trains and the RMT were measured and compared between the hemispheres. 5 Hz-rTMS was also delivered in a group of healthy subjects over both hemispheres. 5 Hz-rTMS in patients elicited a reduced MEP facilitation compared to normal subjects. The reduced MEP amplitude was more evident in the affected hemisphere than in the unaffected hemisphere. RMT in the affected hemisphere was higher than in the unaffected hemisphere and in healthy subjects. Our findings showing a decreased response to 5 Hz-rTMS over the affected hemisphere, differently from the expected results suggest a reduced cortical excitability in epileptic patients. We hypothesize an altered balance between excitatory and inhibitory circuits in epileptic patients under chronic therapy. (shrink)

Iris Marion Young (2011) introduces a paradigm shift in the conceptualization of responsibility through the elaboration of her Social Connection Model (SCM) to combat structural injustice. This model offers a shared political understanding of responsibility, aiming to avoid victim-blaming and the imposition of supererogatory duties on the oppressed. However, two objections emerge regarding the application of the SCM. First, Young’s approach of assigning differentiated duties based on individual circumstances raises concerns about potential evasion by both oppressors and victims, leading to (...) the phenomenon of ‘undererogation’. Second, some question the SCM’s effectiveness in transcending blame, with the allocation of differentiated duties potentially resulting in a resurgence of victim-blaming. In this paper, I address both objections in relation to the issue of patriarchal bargains. To tackle the first, I propose turning to Serene Khader’s deliberative perfectionist approach (Khader 2011), which advocates for an intersubjectively defined spectrum of vulnerability. This spectrum can help determine the scope and degrees of victims’ duties, thus mitigating the issue of undererogation. To address the second objection regarding the risk of victim-blaming, I suggest two strategies: 1) Robin Zheng’s clarification of Young’s distinction between blaming and criticizing (Zheng 2018; 2019), and 2) differentiating between victim-blaming and blaming victims after the allocation of justified duties. While both strategies have their limitations, they provide valuable insights for navigating the complexities of Young’s reconceptualization of responsibility in relation to blame. (shrink)

Understanding when it is acceptable to interrupt a joint activity is an important part of understanding what cooperation entails. Philosophical analyses have suggested that we should release our partner from a joint activity anytime the activity conflicts with fulfilling a moral obligation. To probe young children’s understanding of this aspect, we investigated whether 3-year-old children (N = 60) are sensitive to the legitimacy of motives (selfish condition vs. moral condition) leading agents to intentionally interrupt their joint activity. We measured whether (...) children protested or released their partner by scoring their reactions. Our results indicate that children did not manifest different reactions when the motive behind their partner leaving was moral than when the motive was selfish. However, our data showed a stable pattern: regardless of the partner’s motives, some 3-year-olds take initiatives to release their partners from joint activity, suggesting that measuring release is a valuable tool for investigating joint action. -/- . (shrink)

Through this contribution I aim to explore the horizons and limits of digital medicine in light of an embodied approach to the issue of care. I will sketch the historical background of digital medicine and show the contemporary status of this interdisciplinary field, as well as its applications and outcomes. Then, I will address a critique of the computational theory of mind (CTM) upon which many contemporary mental health apps are designed. This approach to the mind is inscribed into the (...) modern trend of neuromania, which conceives the embodied, living human being as a mere series of data analyses and algorithms, with the brain as the seat of the person. Drawing on continental philosophy and classical phenomenology I will develop a notion of health conceived as a moral enterprise, showing how wellbeing and vitality are not reducible to a product made by technologies or doctors, but rather they are the results of an embodied encounter. As such, empathy and person-centered care cannot be achieved by digital medicine. They are the result of a journey into the regions of recognition, embodied presence and the aliveness constituting the person. Finally, I will show how the issue of care cannot be separated from an embodied encounter between people, especially in case of dementia. (shrink)

F. Brencio (2023), Quel che resta delle cose. Riccardo de Biase lettore di Heidegger, in G. Giannini, P. Marangolo, M. Papa (eds.), Segni. Studi in memoria di Riccardo De Biase, TAB Edizioni, Roma 2023, pp. 171-182, ISBN: 978-88-9295-769-5.

In Western societies many immigrants live in difficult social and working conditions. Together with other factors, this state of affairs represents a risk for the well being of their children. This article will consider the principle risk factors for child psychopathology and/or distress, with a distinction between temporary and permanent factors and with a peculiar attention to the interplay between risk and protective factors. Risk factors can be ordered in cultural, social, familiar/parental and individual factors. Some of these are general (...) risk factors, applying to child and adolescent psychopathology and distress independently from the status of immigrants’ offspring. Other factors are specific of migration, some of them being related to: a) different ways of immigrated families to situate themselves within the host society ; b) cultural/familiar attitudes in child’s nurture and education; c) the family role of women as well as factors specific of the pregnancy period in immigrants; d) the ability of the school system to enhance and support children’s abilities to integrate within the new society; e) the political/bureaucratic facilitation/impediment to the regularization of VISA, with the consequent effect on the sense of identity/rejection within/from the host society. In conclusion, the programs for monitoring immigrants’ living and health conditions should also include: the assessment of parental skills, the dynamic indicators of risk and protection indexes, the assessment of living conditions and social school environment, with a careful attention to those early signs of discomfort that might precede possible later onset of psychopathology and/or social distress. (shrink)

The present thesis explores some metaphysical issues concerning biochemical kinds and the relations between chemical and biological properties and phenomena. The main result of this thesis is that there is something sui generis about biochemical kinds. This result is motivated by two theoretical steps. The first is characterising biochemical functions as weakly emergent from the chemical structure [Chapter 3, Chapter 6]. The second is via an account for which biochemical kinds are natural categories [Chapter 4, Chapter 7]. The thesis comprises (...) four parts. Part I [Chapter 1, Chapter 2] aims to offer the methodological and conceptual tools that underpin this research. Chapter 1 presents the debate on the unity of science and the motivation of the research. Chapter 2 presents the account of natural kinds that will be used throughout the thesis. Part II [Chapter 3, Chapter 4] offers a detailed metaphysical analysis of the molecular gene. Chapter 3 argues that molecular genes are weakly emergent from nucleic acids. Chapter 4 argues that the category "molecular gene" can be deemed a natural kind, following the account presented in Chapter 2. Part III [Chapter 5, Chapter 6, Chapter 7] explores some of the themes related to biochemical kinds and generalises some of the results from Part II. Chapter 5 considers biochemical functions and how functional attribution should be interpreted for biochemical molecules. Chapter 6 considers the relation between biochemical functions and structure, spelt in terms of weak emergence and explores unity in biochemistry. Chapter 7 considers the topic of biochemical kinds per se and argues that biochemical kinds are natural categories. Part IV [Chapter 8] elucidates the main outcome and the implications that this research can have for future discussion in the philosophy and metaphysics of biochemistry and the unity of science. (shrink)

F. Brencio (2022), «…this phenomenon, which is none too happily designated as ‘empathy’». Martin Heidegger’s critique of empathy, in “Bollettino Filosofico”, 37, 243-251, ISSN: 1593 – 7178, E-ISSN 2035 - 2670.

This paper defends the idea that alterations in social perception of people with epilepsy may be crucial in the development of co-morbidities, involving a circular and mutual relationship between the person and her/his social environment, between the self and the world. We aim at exploring the role of these processes in psychopathological phenomena in people with epilepsy. Through a phenomenological and enactive account of intersubjectivity and the model of circular causality, enriched with interviews conducted with people with epilepsy, we develop (...) the hypothesis that the originary domain of a person’s experience with epilepsy expands and modifies the fundamental interrogation of the sense of self. Furthermore, we observe how disturbances in the dynamical coupling and coordination among agents may contribute to psychopathological phenomena, and to changes in intersubjectivity and social perception. (shrink)

F. Brencio (2021) [in Italian and English] (ed.), Dal corpo oggetto alla mente incarnata - From the object body to the embodied mind, in “InCircolo – Rivista di Filosofia e Culture”, 11, ISSN 2531-4092.

As a fundamental feature of our existence, melancholy is an inescapable characteristic of our ontological constitution. However, there is a distance between the clinical condition of melancholia and the human feeling, the capacity to feel sorrow and nostalgia. In this sense, melancholy and melancholia are similar but different. During the XIX century just few among philosophers have tried to described melancholy in terms of disorder, using philosophical tools rather than clinical definitions, drifting the accent from melancholy to melancholia. Hegel has (...) been one of them, one that has seen inside the depth of human being in order to understand and describe what is the “the nocturnal point of the contraction”: melancholia, in terms of clinical condition. The philosophical exploration of madness and its parameters is essentially an ontological project: this is how Hegel addresses “the Concept of derangement in general” and melancholia in particular, anticipating most of Freud’s consideration on this topic. (shrink)

Abstractionism in the philosophy of mathematics aims at deriving large fragments of mathematics by combining abstraction principles (i.e. the abstract objects $\S e_1, \S e_2$, are identical if, and only if, an equivalence relation $Eq_\S$ holds between the entities $e_1, e_2$) with logic. Still, as highlighted in work on the semantics for relevant logics, there are different ways theories might be combined. In exactly what ways must logic and abstraction be combined in order to get interesting mathematics? In this paper, (...) we investigate the matter by deriving the axioms of second-order Peano Arithmetic from Frege's Basic Law V (the extension of $F$ is identical with the extension of $G$ if, and only if, $F$ and $G$ are extensionally equivalent) in the presence of a relevant higher-order logic. The results are interesting. Not only must we take on logic as true, and not only must we apply our logic to abstraction principles, but also we have to apply our theory of abstraction back to the logic in order to arrive at arithmetic. Thus, what Abstractionism gives us is not simply what we get from abstraction via logic, but also what we get from logic via abstraction. (shrink)