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Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a new trivialist philosophy of mathematics.
Our conception of logical space is the set of distinctions we use to navigate the world. In The Construction of Logical Space Agustín Rayo defends the idea that one's conception of logical space is shaped by one's acceptance or rejection of 'just is'-statements: statements like 'to be composed of water just is to be composed of H2O', or 'for the number of the dinosaurs to be zero just is for there to be no dinosaurs'. The resulting picture is used to articulate a conception of metaphysical possibility that does not depend on a reduction of the modal to the non-modal, and to develop a trivialist philosophy of mathematics, according to which the truths of pure mathematics have trivial truth-conditions.
Philosophers have long been tempted by the idea that objects and properties are abstractions from the facts. But how is this abstraction supposed to go? If the objects and properties aren't 'already' there, how do the facts give rise to them? Jason Turner develops and defends a novel answer to this question: The facts are arranged in a quasi-geometric 'logical space', and objects and properties arise from different quasi-geometric structures in this space.
Examining the inherent spatiality of law, both theoretically and as social practice, this book presents a genealogical account of the emergence and the development of the juridical. In an analysis that stretches from ancient Greece, through late antiquity and early modern and modern Europe, and on to the contemporary courtroom, it considers legal and philosophical texts, artistic and literary works, as well as judicial practices, in order to elicit and document a series of critical moments in the history of juridical space. Offering a more nuanced understanding of law than that found in traditional philosophical, political or social accounts of legal history, Dahlberg forges a critical account of the intimate relations between law and politics that shows how juridical space is determined and conditioned in ways that are integral to the very functioning – and malfunctioning – of law.
In many ways set theory lies at the heart of modern mathematics, and it does powerful work both philosophical and mathematical – as a foundation for the subject. However, certain philosophical problems raise serious doubts about our acceptance of the axioms of set theory. In a detailed and original reassessment of these axioms, Sharon Berry uses a potentialist (as opposed to actualist) approach to develop a unified determinate conception of set-theoretic truth that vindicates many of our intuitive expectations regarding set theory. Berry further defends her approach against a number of possible objections, and she shows how a notion of logical possibility that is useful in formulating Potentialist set theory connects in important ways with philosophy of language, metametaphysics and philosophy of science. Her book will appeal to readers with interests in the philosophy of set theory, modal logic, and the role of mathematics in the sciences.
By creating certain marks on paper, or by making certain sounds-breathing past a moving tongue-or by articulation of hands and bodies, language users can give expression to their mental lives. With language we command, assert, query, emote, insult, and inspire. Language has meaning. This fact can be quite mystifying, yet a science of linguistic meaning-semantics-has emerged at the intersection of a variety of disciplines: philosophy, linguistics, computer science, and psychology.
This work seeks to shed light on one of the most enigmatic masterpieces of twentieth-century thought. At the heart of Eli Friedlander's interpretation is the internal relation between the logical and the ethical in the Tractatus, a relation that emerges in the work of drawing the limits of language. Bearing on the question of the divide between analytic and Continental philosophy, this interpretation views Wittgenstein's work as a possible mediation between these two central philosophical traditions of the modern age.
The book offers a novel approach to the idea of divinity in guise of a philosophical doctrine called 'Logical Pantheism', according to which the only way to establish the existence of God undeniably is by equating God with Logical Space.
The concept of likeness to truth, like that of truth itself, is fundamental to a realist conception of inquiry. To demonstrate this we need only make two rather modest aim of an inquiry, as an inquiry, is realist assumptions: the truth doctrine (that the the truth of some matter) and the progress doctrine (that one false theory may realise this aim better than another). Together these yield the conclusion that a false theory may be more truthlike, or closer to the truth, than another. It is the aim of this book to give a rigorous philosophical analysis of the concept of likeness to truth, and to examine the consequences, some of them no doubt surprising to those who have been unduly impressed by the (admittedly important) true/false dichotomy. Truthlikeness is not only a requirement of a particular philosophical outlook, it is as deeply embedded in common sense as the concept of truth. Everyone seems to be capable of grading various propositions, in different (hypothetical) situations, according to their closeness to the truth in those situations. And (if my experience is anything to go by) there is remarkable unanimity on these pretheoretical judge ments. This is not proof that there is a single coherent concept underlying these judgements. The whole point of engaging in philosophical analysis is to make this claim plausible.
