This new study of David Hume s philosophy of mathematics critically examines his objections to the concept of infinity, and his alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles.

Moral philosophy, or the science of human nature, may be treated after two different manners; each of which has its peculiar merit, and may contribute to the entertainment, instruction, and reformation of mankind. The one considers man chiefly as born for action; and as influenced in his measures by taste and sentiment; pursuing one object, and avoiding another, according to the value which these objects seem to possess, and according to the light in which they present themselves. As virtue, of all objects, is allowed to be the most valuable, this species of philosophers paint her in the most amiable colours; borrowing all helps from poetry and eloquence, and treating their subject in an easy and obvious manner, and such as is best fitted to please the imagination, and engage the affections. They select the most striking observations and instances from common life; place opposite characters in a proper contrast; and alluring us into the paths of virtue by the views of glory and happiness, direct our steps in these paths by the soundest precepts and most illustrious examples. They make us feel the difference between vice and virtue; they excite and regulate our sentiments; and so they can but bend our hearts to the love of probity and true honour, they think, that they have fully attained the end of all their labours.

Dialogues Concerning Natural Religion is a philosophical work written by the Scottish philosopher David Hume. Through dialogue, three fictional characters named Demea, Philo, and Cleanthes debate the nature of God's existence. While all three agree that a god exists, they differ sharply in opinion on God's nature or attributes and how, or if, humankind can come to knowledge of a deity. In the Dialogues, Hume's characters debate a number of arguments for the existence of God, and arguments whose proponents believe through which we may come to know the nature of God. Such topics debated include the argument from design - for which Hume uses a house - and whether there is more suffering or good in the world (Argument from evil)

Hume's Philosophy of Religion brings together for the first time the whole range of Hume's immensely important critique of religion. The major concern is with a clear discussion and presentation of philosophical issues wherever they occur in Hume's writings, but items in the history of ideas, questions of interpretation and biographical details are introduced when they contribute to an understanding of Hume's position. Already reviewed as a standard work on Hume on religion and as a good general introduction to Hume's thought, this new edition has been extensively revised and extended. '...it is hard to imagine how a study of Hume on religion could have been at once more comprehensive, accurate, readable and scholarly than this...it is strongly to be recommended to all who have occasion to study or to teach Hume in colleges or universities.' W.D.Hudson, Expository Times.

In this book the author offers a critical analysis of David Hume's argument against miracles from his Enquiry Concerning Human Understanding, "Of Miracles" is one of the most influential works written in defense of the position that belief in supernatural occurrences is not reasonable. Using Hume's work as a point of departure, the author addresses the two most important epistemological questions asked about miracles: Is it ever reasonable to ascribe a divine source to an anomalous event in order to identify it as miraculous? and What theoretically entails sufficient evidence that a miracle has actually taken place? Contemporary rehabilitations of Hume's argument, as put forth by Antony Flew, Alastair McKinnon, and Patrick Nowell-Smith, are evaluated. Contents: Defining the Miraculous; Hume's Argument, Part 1;Hume's Argument, Part 2;The Rationality of Belief and the Existence of God; Contemporary Rehabilitations of Hume's Argument; and Miracles and Evidence.

The 18th-century collection of philosophical articles "Essays" was penned by Scottish Enlightenment philosopher David Hume. The essays' broad range of subjects reflects Hume's varied interests in politics, literature, and philosophy. "A Treatise of Human Nature," one of Hume's most important essays, examines human thinking and makes the case for a more sceptical and empirical philosophy. He promotes a study of human nature based on observation and experience, challenging conventional beliefs about causality, identity, and the nature of knowledge. Hume's writing is distinguished by its empiricism, wit, and clarity. His writings, which provide insights into human nature, the basis of knowledge, and the difficulties of moral and aesthetic judgments, continue to have an impact on the domains of philosophy and economics. The compilation offers a thorough understanding of Hume's contributions to philosophy and is still studied because of its significant influence on Western thought.

This volume offers a solution to one of the central, unsolved problems of Western philosophy, that of induction. It explores the implications of Hume's argument that successful prediction tells us nothing about the truth of the predicting theory.