From Mathematics to Philosophy (Routledge Revivals) PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download From Mathematics to Philosophy (Routledge Revivals) PDF full book. Access full book title From Mathematics to Philosophy (Routledge Revivals) by Hao Wang. Download full books in PDF and EPUB format.
Author: Hao Wang
Publisher: Routledge
ISBN: 1134884338
Category : Philosophy
Languages : en
Pages : 445
Get Book Here
Book Description
First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
Author: Hao Wang
Publisher: Routledge
ISBN: 1134884338
Category : Philosophy
Languages : en
Pages : 445
Get Book Here
Book Description
First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
Author: Hilary Putnam
Publisher: Routledge
ISBN: 1317832582
Category : Philosophy
Languages : en
Pages : 86
Get Book Here
Book Description
First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.
Author: Bernard Bolzano
Publisher: Routledge
ISBN: 1317748573
Category : Philosophy
Languages : en
Pages : 178
Get Book Here
Book Description
Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Author: Noel Curran
Publisher: Routledge
ISBN: 0429808089
Category : Philosophy
Languages : en
Pages : 219
Get Book Here
Book Description
First published in 1997, this title is a sequel to Dr Noel Curran's first book The Logical Universe: The Real Universe (published by Ashgate under the Avebury imprint, 1994). The philosophy of mathematics in this book is based on ideas of Sir William Rowan Hamilton on the ordinal character of numbers, the real numbers, the measure numbers, scalar numbers and the extension to vectors. The final extension is to Hamilton’s quaternions. This algebra is interpreted as the mathematics of spin. This led to a a new theory of time and space which is Euclidian. The motion of spin is absolute, no frame of reference is required. If time is assumed to have a beginning it would be asymmetric with an arrow. This concept is applied to the laws of nature, which are symmetrical. This is another Copernican Revolution in three aspects: absolute time is restored, time has an arrow - is asymmetric, and thirdly the theory is based on the motion of spin which is absolute and more fundamental than the motion of translation. This opens the way to the final unification of physics.
Author: Donald Gillies
Publisher: Routledge
ISBN: 1136810811
Category : Mathematics
Languages : en
Pages : 264
Get Book Here
Book Description
This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the ‘actual world of experiments’. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper’s concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.
Author: Marsh Hopkins
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 244
Get Book Here
Book Description
Author: Timothy Colburn
Publisher: Routledge
ISBN: 1317462831
Category : Social Science
Languages : en
Pages : 257
Get Book Here
Book Description
Colburn (computer science, U. of Minnesota-Duluth) has a doctorate in philosophy and an advanced degree in computer science; he's worked as a philosophy professor, a computer programmer, and a research scientist in artificial intelligence. Here he discusses the philosophical foundations of artificial intelligence; the new encounter of science and philosophy (logic, models of the mind and of reasoning, epistemology); and the philosophy of computer science (touching on math, abstraction, software, and ontology).
Author: Norman Gulley
Publisher: Routledge
ISBN: 1136200592
Category : Philosophy
Languages : en
Pages : 297
Get Book Here
Book Description
First published in 1962, this book provides a systematic account of the development of Plato’s theory of knowledge. Beginning with a consideration of the Socratic and other influences which determined the form in which the problem of knowledge first presented itself to Plato, the author then works through the dialogues from the Meno to the Laws and examines in detail Plato’s progressive attempts to solve the problem.
Author: Thomas Glick
Publisher: Taylor & Francis
ISBN: 1351676172
Category : History
Languages : en
Pages : 625
Get Book Here
Book Description
First published in 2005, this encyclopedia demonstrates that the millennium from the fall of the Roman Empire to the Renaissance was a period of great intellectual and practical achievement and innovation. In Europe, the Islamic world, South and East Asia, and the Americas, individuals built on earlier achievements, introduced sometimes radical refinements and laid the foundations for modern development. Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This comprehensive resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. It also looks at the relationship between medieval science and the traditions it supplanted. Written by a select group of international scholars, this reference work will be of great use to scholars, students, and general readers researching topics in many fields, including medieval studies, world history, history of science, history of technology, history of medicine, and cultural studies.
Author: Paul E. Szarmach
Publisher: Routledge
ISBN: 1351666363
Category : History
Languages : en
Pages : 2402
Get Book Here
Book Description
First published in 1998, this valuable reference work offers concise, expert answers to questions on all aspects of life and culture in Medieval England, including art, architecture, law, literature, kings, women, music, commerce, technology, warfare and religion. This wide-ranging text encompasses English social, cultural, and political life from the Anglo-Saxon invasions in the fifth century to the turn of the sixteenth century, as well as its ties to the Celtic world of Wales, Scotland and Ireland, the French and Anglo-Norman world of the Continent and the Viking and Scandinavian world of the North Sea. A range of topics are discussed from Sedulius to Skelton, from Wulfstan of York to Reginald Pecock, from Pictish art to Gothic sculpture and from the Vikings to the Black Death. A subject and name index makes it easy to locate information and bibliographies direct users to essential primary and secondary sources as well as key scholarship. With more than 700 entries by over 300 international scholars, this work provides a detailed portrait of the English Middle Ages and will be of great value to students and scholars studying Medieval history in England and Europe, as well as non-specialist readers.
