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Mathematical Thought and its Objects
Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.
New Zealand's Native Trees
New Zealand's Native Trees is a landmark book, the kind that is published only once in a generation. It celebrates our unique and magnificent native forests, and describes and generously illustrates more than 320 species, subspecies and varieties. This edition has been completely brought up-to-date with a significant number of botanical revisions, as many new species have been described or reclassified in the years since the book was first published.
The Nature of Physical Computation
Computing systems are ubiquitous in contemporary life. Even the brain is thought to be a computing system of sorts. But what does it mean to say that a given organ or system "computes"? What is it about laptops, smartphones, and nervous systems that they are deemed to compute - and why does itseldom occur to us to describe stomachs, hurricanes, rocks, or chairs that way? These questions are key to laying the conceptual foundations of computational sciences, including computer science and engineering, and the cognitive and neural sciences.Oron Shagrir here provides an extended argument for the semantic view of computation, which states that semantic properties are involved in the nature of co...
Finn the Wolfhound
A champion Irish wolfhound becomes separated from his master and leads a pack of wild dogs in Australia and finally dog and master meet again. Grades 7 and up.
