Recent discussions of how axioms are extrinsically justified have appealed to abductive considerations: on such accounts, axioms are adopted on the basis that they constitute the best explanation of some mathematical data, or phenomena. In the first part of this paper, I set out a potential problem caused by the appeal made to the notion of mathematical explanation and suggest that it can be remedied once it is noted that all the justificatory work is done by appeal to the theoretical (...) virtues. In the second part of the paper, I appeal to the theoretical virtues account of axiom justification to provide an argument that judgements of theoretical virtuousness, and therefore of extrinsic justification, are subjective in a substantive sense. This tells against a recent claim by Penelope Maddy that such justification is “wholly objective”. (shrink)

Recent debates about mathematical ontology are guided by the view that Platonism's prospects depend on mathematics' explanatory role in science. If mathematics plays an explanatory role, and in the right kind of way, this carries ontological commitment to mathematical objects. Conversely, the assumption goes, if mathematics merely plays a representational role then our world-oriented uses of mathematics fail to commit us to mathematical objects. I argue that it is a mistake to think that mathematical representation is necessarily ontologically innocent and (...) that there is an argument from mathematics' representational capacity to Platonism. Given that it is common ground between the Platonist and nominalist that mathematics plays a representational role in science, this representationalist argument is to be preferred over the explanatory, or enhanced, indispensability argument. (shrink)

The aim of this paper is to assess the relevance of somatic evolution by natural selection to our understanding of cancer development. I do so in two steps. In the first part of the paper, I ask to what extent cancer cells meet the formal requirements for evolution by natural selection, relying on Godfrey-Smith’s (2009) framework of Darwinian populations. I argue that although they meet the minimal requirements for natural selection, cancer cells are not paradigmatic Darwinian populations. In the second (...) part of the paper, I examine the most important examples of adaptation in cancer cells. I argue that they are not significant accumulations of evolutionary changes, and that as a consequence natural selection plays a lesser role in their explanation. Their explanation, I argue, is best sought in the previously existing wiring of the healthy cells. (shrink)

Heron Heart is a poem born out of reflecting on the nature of existence during long stretches of isolation, where the boundary of what is and is not a living being was challenged—the nonhuman more alive than the human. It evokes the absurdity of the banal out of the confusion and beauty of sensory experience, with hints of nostalgia for a mythological world that never existed but is ever-present.

A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a tetrahedron is presented. This gives the fourth power of the volume as a polynomial in six simple rational functions of the areas of its four faces and three medial parallelograms, which will be referred to herein as "interior faces." Geometrically, these rational functions are the areas of the triangles into which the exterior faces are divided by the points at (...) which the tetrahedron's in-sphere touches those faces. Part I presents an overview of these results and some necessary but little-known background in areal geometry. Part II derives the promised extension, and ends with a conjecture as to how the formula extends to n-dimensional simplices for all n>3. Part III explains how, for n=3, the zeros of the polynomial constitute a five-dimensional semi-algebraic variety consisting almost entirely of collinear tetrahedra with vertices separated by infinite distances, but with generically well-defined distance ratios; it further proves that these unconventional Euclidean configurations can be identified with a quotient of the Klein quadric by an action of a group of reflections isomorphic to ℤ42, wherein four-point configurations in the affine plane constitute a distinguished three-dimensional subvariety. Part IV consists of five appendices which show, among other things, that the algebraic structure of the zeros in the affine plane naturally defines the associated four-element, rank 3 chirotope, aka affine oriented matroid. (shrink)

In this paper, I investigate the role of public opinion and De Staël’s liberal principles in relation to her psychological image of human nature. De Staël regarded the French Revolution as a new stage of human progress, in which the French people, for the first time, gained a political voice. From her position as a liberal republican, De Staël argues for political progress in the form of civil equality and liberty confirmed by law and political representation, for which public opinion (...) serves as a political tool. I aim to demonstrate that De Staël developed a multi-layered analysis of public opinion as both an emancipatory tool for more equality, justice, and liberty, as well as a discriminating and harmful tool. According to De Staël, human passions play a crucial role in determining the employment and the effects of public opinion, as becomes clear in the case of the trial of Marie-Antoinette. (shrink)

An in-depth critique of arguments of John Finnis, Germain Grisez, Joseph Boyle and William May to the effect that contraception is necessarily contralife in the sense of exhibiting a will against a possible person.

Voltaire called fanaticism the "monster that pretends to be the child of religion". Philosophers, politicians, and cultural critics have decried fanaticism and attempted to define the distinctive qualities of the fanatic, whom Winston Churchill described as "someone who can't change his mind and won't change the subject". Yet despite fanaticism's role in the long history of social discord, human conflict, and political violence, it remains a relatively neglected topic in the history of philosophy. In this outstanding inquiry into the philosophical (...) history of fanaticism a team of international contributors examine the topic from antiquity to the present day. Organised into four sections, topics covered include: Fanaticism in ancient Greek, Indian and Chinese philosophy; Fanaticism and superstition from Hobbes to Hume, including chapters on Locke and Montesquieu, Shaftesbury, and Hutcheson; Kant, Germaine de Stael, Hegel, Nietzsche, William James, and Jorge Portilla on fanaticism; Fanaticism and terrorism; and extremism and gender, including the philosophy and morality of the 'manosphere'; Closed-mindedness and political and epistemological fanaticism. Spanning themes from superstition, enthusiasm and misanthropy to the emotions, purity and the need for certainty, Fanaticism and the History of Philosophy is a landmark volume for anyone researching and teaching the history of philosophy, particularly ethics and moral philosophy. It is also a valuable resource for those studying fanaticism in related fields such as religion, the history of political thought, sociology, and the history of ideas. (shrink)

Introduction to the Scientific Proof of the Natural Moral Law This paper proves that Aquinas has a means of demonstrating and deriving both moral goodness and the natural moral law from human nature alone. Aquinas scientifically proves the existence of the natural moral law as the natural rule of human operations from human nature alone. The distinction between moral goodness and transcendental goodness is affirmed. This provides the intellectual tools to refute the G.E. Moore (Principles of Ethics) attack against the (...) natural law as committing a "naturalistic fallacy". This article proves that instead Moore commits the fallacy of equivocation between moral goodness and transcendental goodness in his very assertion of a "naturalistic fallacy" by the proponents of the natural moral law. In the process the new deontological/kantian theory of natural law as articulated by John Finnis, Robert George, and Germain Grisez is false historically and philosophically. Ethical naturalism is affirmed as a result. (shrink)