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  THE PROBLEMS OF PHILOSOPHY BY BERTRAND RUSSELL Appearance and Reality The Existence of Matter The Nature of Matter Idealism Knowledge by Acquaintance and Knowledge by Description On Induction On our Knowledge of General Principles How a Priori Knowledge is Possible The World of Universals On our Knowledge of Universals On Intuitive Knowledge Truth and Falsehood Knowledge, Error, and Probable Opinion The Limits of Philosophical Knowledge The Value of Philosophy Bibliographical Note

The Critique Of Judgement by Immanuel Kant

  From Preface: 'The faculty of knowledge from a priori principles may be called pure reason, and the general investigation into its possibility and bounds the Critique of Pure Reason. This is permissible although 'pure reason,' as was the case with the same use of terms in our first work, is only intended to denote reason in its theoretical employment, and although there is no desire to bring under review its faculty as practical reason and its special principles as such. That Critique is, then, an investigation addressed simply to our faculty of knowing things a priori. Hence it makes our cognitive faculties its sole concern, to the exclusion of the feeling of pleasure or displeasure and the faculty of desire; and among the cognitive faculties it confines its attention to understanding and its a priori principles, to the exclusion of judgement and reason, (faculties that also belong to theoretical cognition,) because it turns out in the sequel that there is no cognitive faculty other than understanding capable of affording constitutive a priori principles of knowledge. Accordingly the critique which sifts these faculties one and all, so as to try the possible claims of each of the other faculties to a share in the clear possession of knowledge from roots of its own, retains nothing but what understanding prescribes a priori as a law for nature as the complex of phenomena-the form of these being similarly furnished a priori. All other pure concepts it relegates to the rank of ideas,* which for our faculty of theoretical cognition are transcendent; though they are not without their use nor redundant, but discharge certain functions as regulative principles.** For these concepts serve partly to restrain the officious pretentions of understanding, which, presuming on its ability to supply a priori the conditions of the possibility of all things which it is capable of knowing, behaves as if it had thus determined these bounds as those of the possibility of all things generally, and partly also to lead understanding, in its study of nature, according to a principle of completeness, unattainable as this remains for it, and so to promote the ultimate aim of all knowledge.'

An Intro to the Theory of Knowledge

  Epistemology or the theory of knowledge is one of the cornerstones of analytic philosophy, and this book provides a clear and accessible introduction to the subject. It discusses some of the main theories of justification, including foundationalism, coherentism, reliabilism, and virtue epistemology. Other topics include the Gettier problem, internalism and externalism, skepticism, the problem of epistemic circularity, the problem of the criterion, a priori knowledge, and naturalized epistemology. Intended primarily for students taking a first class in epistemology, this lucid and well-written text would also provide an excellent introduction for anyone interested in knowing more about this important area of philosophy.

Proof and Knowledge in Mathematics

  'Proof and Knowledge in Mathematics' tackles the main problem that arises when considering an epistemology for mathematics, the nature and sources of mathematical justification. Focusing both on particular and general issues, these essays from leading philosophers of mathematics raise important issues for our current understanding of mathematics. Is mathematical justification 'a priori' or 'a posteriori?' What role, if any, does logic play in mathematical reasoning or inference? And how epistemologically important is the formalizability of proof? Michael Detlefsen has brought together an outstanding collection of essays in a volume which will be essential for philosophers and historians of mathematics who are interested in the nature of reasoning and justification. A companion volume, 'Proof, Knowledge and Formalization' is also available from Routledge.


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