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Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity.
A defence of ethical intuitionism where (i) there are objective moral truths; (ii) we know these through an immediate, intellectual awareness, or 'intuition'; and (iii) knowing them gives us reasons to act independent of our desires. The author rebuts the major objections to this theory and shows the difficulties in alternative theories of ethics.
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