In this book Robert Tragesser sets out to determine the conditions under which a realist ontology of mathematics and logic might be justified, taking as his starting point Husserl's treatment of these metaphysical problems. He does not aim primarily at an exposition of Husserl's phenomenology, although many of the central claims of phenomenology are clarified here. Rather he exploits its ideas and methods to show how they can contribute to answering Michael Dummet's question 'Realism or Anti-Realism?'. In doing so (...) he makes a challenging and provocative contribution to the debate. (shrink)

We compare Gödel’s and Brouwer’s explorations of mysticism and its relation to mathematics.

This is a collection of vivid and stimulating writings in various literary forms by a well-known mathematician who is having an increasing influence as a philosopher. It contains a core of papers that will change the face of the philosophy of mathematics and one of the most important papers on philosophical logic of this closing century, one that enables a fully effective transcendental logic. Indiscrete Thoughts, together with the previous anthology, makes Rota’s philosophical writings accessible.

Corcoran’s 27 entries in the 1999 second edition of Robert Audi’s Cambridge Dictionary of Philosophy [Cambridge: Cambridge UP]. -/- ancestral, axiomatic method, borderline case, categoricity, Church (Alonzo), conditional, convention T, converse (outer and inner), corresponding conditional, degenerate case, domain, De Morgan, ellipsis, laws of thought, limiting case, logical form, logical subject, material adequacy, mathematical analysis, omega, proof by recursion, recursive function theory, scheme, scope, Tarski (Alfred), tautology, universe of discourse. -/- The entire work is available online free at more than (...) one website. Paste the whole URL. http://archive.org/stream/RobertiAudi_The.Cambridge.Dictionary.of.Philosophy/Robert.Audi_The.Cambrid ge.Dictionary.of.Philosophy -/- The 2015 third edition will be available soon. Before you think of buying it read some reviews on Amazon and read reviews of its competition: For example, my review of the 2008 Oxford Companion to Philosophy, History and Philosophy of Logic,29:3,291-292. URL: http://dx.doi.org/10.1080/01445340701300429 -/- Some of the entries have already been found to be flawed. For example, Tarski’s expression ‘materially adequate’ was misinterpreted in at least one article and it was misused in another where ‘materially correct’ should have been used. The discussion provides an opportunity to bring more flaws to light. -/- Acknowledgements: Each of these entries was presented at meetings of The Buffalo Logic Dictionary Project sponsored by The Buffalo Logic Colloquium. The members of the colloquium read drafts before the meetings and were generous with corrections, objections, and suggestions. Usually one 90-minute meeting was devoted to one entry although in some cases, for example, “axiomatic method”, took more than one meeting. Moreover, about half of the entries are rewrites of similarly named entries in the 1995 first edition. Besides the help received from people in Buffalo, help from elsewhere was received by email. We gratefully acknowledge the following: José Miguel Sagüillo, John Zeis, Stewart Shapiro, Davis Plache, Joseph Ernst, Richard Hull, Concha Martinez, Laura Arcila, James Gasser, Barry Smith, Randall Dipert, Stanley Ziewacz, Gerald Rising, Leonard Jacuzzo, George Boger, William Demopolous, David Hitchcock, John Dawson, Daniel Halpern, William Lawvere, John Kearns, Ky Herreid, Nicolas Goodman, William Parry, Charles Lambros, Harvey Friedman, George Weaver, Hughes Leblanc, James Munz, Herbert Bohnert, Robert Tragesser, David Levin, Sriram Nambiar, and others. -/- . (shrink)

Thomas A. Fay Heidegger and the Formalization of Thought 1 Dagfinn F011esdal The Justification of Logic and Mathematics in Husserl's Phenomenology 25 Guillermo E. Rosado Haddock On Husserl's Distinction between State of Affairs and Situation of Affairs.... 35 David Woodruff Smith On Situations and States of Affairs 49 Charles W. Harvey, Jaakko Hintikka Modalization and Modalities................... 59 Gilbert T. Null Remarks on Modalization and Modalities 79 J. N. Mohanty Husserl's Formalism 93 Carl J. Posy Mathematics as a Transcendental Science 107 (...) vi Gian-carlo Rota Mathematics and the Task of Phenomenology 133 John Scalon "Tertium Non Datur: " Husserl's Conception of a Definite Multiplicity..... 139 Thomas M. Seebohm Psychologism Revisited 149 Gerald J. Massey Some Reflections on Psychologism 183 Robert S. Tragesser How Mathematical Foundation all but come about: A Report on Studies Toward a Phenomenological Critique of Godel's Views on Mathematical Intuition.. 195 Kenneth L. Manders On Geometric Intentionality 215 Dallas Willard Sentences which are True in Virtue of their Color... 225 John J. Drummond Willard and Husserl on Logical Form 243 Index of Names 257 Index of Subjects 259 PREFACE The phenomenology of logic and ideal objects is the topic of Husserl's Logical Investigations. This book determined the early development of the so called phenomenological movement. It is still the main source for many phenomenologists, even if they disagree with Husserl's transcendental turn and developed other phenomenological positions or positions beyond phenomenology he early sense. (shrink)

Tragesser intends to show that Husserl in his phenomenological investigation of the foundations of logic and mathematics undercuts the basis on which the problem of realism and antirealism in epistemology and the philosophy of logic is traditionally conceived. Husserl does this, Tragesser contends, by attempting "to purge logical thinking of [the] assumption [of the law of the excluded middle] while at the same time avoiding the pitfalls of psychologism". Central to this investigation is Husserl's disclosure of the noema, (...) the intentional correlate of an act of consciousness, as the thought-component of acts of thinking. Thus, phenomenology, on Tragesser's account, is the descriptive theory of "the domain of all possible thoughts and thus also all possible entities which can be thought". (shrink)

The outline of modern macroeconomics took shape in Britain in the early nineteenth century thanks, in part, to David Ricardo, one of the most influential economists of the time. Britain was challenged by monetary inflation, industrial unemployment and the loss of jobs abroad. Ricardo pointed the way forward. As a financier and Member of Parliament, he was well versed in politics and commercial affairs. His expertise is shown by the practicality of his proposals, including the resumption of the gold standard, (...) which was essential given the destabilizing policy of the Bank of England. Ricardo's expertise appears also in his debate with T. R. Malthus about whether an industrial economy can suffer a prolonged depression. Say's Law of Markets and the Quantity Theory of Money figure prominently in his works, but not in an extreme form. He was instead a subtle theorist, recognizing the non-neutrality of money, trade depressions and unemployment. (shrink)

Translation with notes of Ammonius' Commentary on Aristotle's Categories.

Revision of the author's thesis (Ph. D.--Kāśī Hindu Viśvavidyālaya, 1994) under title: Śaktiviśishṭādvaita Vedānta, eka samīkshātmka anuśīlana.

Nyāyadarśanam.--Vaiśeṣikadarśanam.--Sāṅkhyadarśanam.--Yogadarśanam.--Mīmāṃsādarśanam.- -Vedāntadarśanam.