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Logic and Foundations of Mathematics

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Articles 31 - 60 of 78

Full-Text Articles in Philosophy of Science

Vol 7 No 2 Cover Page Jul 2016

Vol 7 No 2 Cover Page

Comparative Philosophy

No abstract provided.


Explanatory Proofs And Beautiful Proofs, Marc Lange Jan 2016

Explanatory Proofs And Beautiful Proofs, Marc Lange

Journal of Humanistic Mathematics

This paper concerns the relation between a proof’s beauty and its explanatory power – that is, its capacity to go beyond proving a given theorem to explaining why that theorem holds. Explanatory power and beauty are among the many virtues that mathematicians value and seek in various proofs, and it is important to come to a better understanding of the relations among these virtues. Mathematical practice has long recognized that certain proofs but not others have explanatory power, and this paper offers an account of what makes a proof explanatory. This account is motivated by a wide range of examples …


Vol 7 No 1 Contents Page Dec 2015

Vol 7 No 1 Contents Page

Comparative Philosophy

No abstract provided.


Vol 7 No 1 Information Page Dec 2015

Vol 7 No 1 Information Page

Comparative Philosophy

No abstract provided.


Vol 7 No 1 Cover Page Dec 2015

Vol 7 No 1 Cover Page

Comparative Philosophy

No abstract provided.


Consciousness, Quantum Physics, And Hermeneutical Phenomenology, Patrick Aidan Heelan S.J. Jan 2014

Consciousness, Quantum Physics, And Hermeneutical Phenomenology, Patrick Aidan Heelan S.J.

Research Resources

Two hundred years ago Friedrich Schleiermacher modified Kant’s notion of anthropology—‘hermeneutically,’ as he said — so as to make it inclusive of the tribes that Captain Cook found in the South Sea Islands. This paper honors the late Joseph J. Kockelmans for making a similar hermeneutic move to update Kant’s notion of natural science so as to make it inclusive of the phenomenological lifeworld (For ‘lifeworld,’ see Husserl’s The Crisis of European Sciences and Transcendental Philosophy, 1954, 121–148, and the ‘lifeworld’ theme throughout the Crisis. ) syntheses of classical, relativity, and quantum physics. The new synthesis is in …


Educator Perceptions Of The Opitimal Professional Development Experience, Kent Lloyd Pettet Dec 2013

Educator Perceptions Of The Opitimal Professional Development Experience, Kent Lloyd Pettet

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Qualitative Analysis Of The Example Of George Orwell: From His Lived Experience To Ours, Christian Webster Gallagher Dec 2013

A Qualitative Analysis Of The Example Of George Orwell: From His Lived Experience To Ours, Christian Webster Gallagher

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Comparison Study Of The Use Of Paper Versus Digital Textbooks By Undergraduate Students, James W. Johnson May 2013

A Comparison Study Of The Use Of Paper Versus Digital Textbooks By Undergraduate Students, James W. Johnson

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


The Effect Of Laser Therapy On Baseball Pitchers, Connor Barnes May 2013

The Effect Of Laser Therapy On Baseball Pitchers, Connor Barnes

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


Transformational Effects Of Museum Exhibits Upon Their Patrons: The National Underground Railroad Freedom Center, Cassandra Caruso-Woolard May 2013

Transformational Effects Of Museum Exhibits Upon Their Patrons: The National Underground Railroad Freedom Center, Cassandra Caruso-Woolard

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz Jan 2013

Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz

Journal of Humanistic Mathematics

The narrative about the nineteenth century favored by many philosophers of mathematics strongly influenced by either logic or algebra, is that geometric intuition led real and complex analysis astray until Cauchy and Kronecker in one sense and Dedekind in another guided mathematicians out of the labyrinth through the arithmetization of analysis. Yet the use of geometry in most cases in nineteenth century mathematics was not misleading and was often key to important developments. Thus the geometrization of complex numbers was essential to their acceptance and to the development of complex analysis; geometry provided the canonical examples that led to the …


Women's Use Of Violence: An Ecological Systems Model, Sara Byczek Dec 2012

Women's Use Of Violence: An Ecological Systems Model, Sara Byczek

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


The Mathematical Cultures Network Project, Brendan P. Larvor Jul 2012

The Mathematical Cultures Network Project, Brendan P. Larvor

Journal of Humanistic Mathematics

The UK Arts and Humanities Research Council has agreed to fund a series of three meetings with associated publications on mathematical cultures. This note describes the project.


The Correspondence Of Attachment Dimensions To Prayer Styles Among Undergraduate Students, Nathaniel Aaron Lamkin May 2012

The Correspondence Of Attachment Dimensions To Prayer Styles Among Undergraduate Students, Nathaniel Aaron Lamkin

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


The Quantum Dialectic, Logan Kelley May 2011

The Quantum Dialectic, Logan Kelley

Pitzer Senior Theses

A philosophic account of quantum physics. The thesis is divided into two parts. Part I is dedicated to laying the groundwork of quantum physics, and explaining some of the primary difficulties. Subjects of interest will include the principle of locality, the quantum uncertainty principle, and Einstein's criterion for reality. Quantum dilemmas discussed include the double-slit experiment, observations of spin and polarization, EPR, and Bell's theorem. The first part will argue that mathematical-physical descriptions of the world fall short of explaining the experimental observations of quantum phenomenon. The problem, as will be argued, is framework of the physical descriptive schema. Part …


Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary Apr 2001

Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary

Research Resources

In the history of science perhaps the most influential Aristotelian division was that

between mathematics and physics. From our modern perspective this seems like an unfortunate deviation from the Platonic unification of the two disciplines, which guided Kepler and Galileo towards the modern scientific revolution. By contrast, Aristotle’s sharp distinction between the disciplines seems to have led to a barren scholasticism in physics, together with an arid instrumentalism in Ptolemaic astronomy. On the positive side, however, astronomy was liberated from commonsense realism for the conceptual experiments of Aristarchus of Samos, whose heliocentric hypothesis was not adopted by later astronomers because …


Why There Can't Be A Logic Of Induction, Stuart Glennan Jan 1994

Why There Can't Be A Logic Of Induction, Stuart Glennan

Scholarship and Professional Work - LAS

Carap's attempt to develop an inductive logic has been criticized on a variety of grounds, and while there may be some philosophers who believe that difficulties with Carnap's approach can be overcome by further elaborations and modifications of his system, I think it is fair to say that the consensus is that the approach as a whole cannot succeed. In writing a paper on problems with inductive logic (and with Carnap's approach in particular), I might therefore be accused of beating a dead horse. However, there are still some (e.g., Spirtes, Glymour and Scheines 1993) who seem to believe that …


The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis May 1990

The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.


Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan Jan 1977

Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan

Articles and Chapters in Academic Book Collections

Science is distinguished as an element of our total contemporary culture, or “historical science,” from science as the professional business of natural scientists, or “experimental science.” Phenomenology has always taken a very critical stance against certain defects or biases -- objectivism, scientism, technicism -- it has found in historical science. It is my purpose to show that these defects and biases, associated historically with physical science, are not necessary parts of physical science, and consequently, that physics, especially experimental physics, has all of those hermeneutical, ontological, historical and dialectical dimensions negated by historical science. The notion of dialectic is given …


Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan Jan 1977

Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan

Research Resources

Science is distinguished as an element of our total contemporary culture, or “historical science,” from science as the professional business of natural scientists, or “experimental science.” Phenomenology has always taken a very critical stance against certain defects or biases -- objectivism, scientism, technicism -- it has found in historical science. It is my purpose to show that these defects and biases, associated historically with physical science, are not necessary parts of physical science, and consequently, that physics, especially experimental physics, has all of those hermeneutical, ontological, historical and dialectical dimensions negated by historical science. The notion of dialectic is given …


Quantum Mechanics And Objectivity - Table Of Contents And Preface And Acknowledgments, Patrick A. Heelan Jan 1965

Quantum Mechanics And Objectivity - Table Of Contents And Preface And Acknowledgments, Patrick A. Heelan

Research Resources

This book deals with the 'crisis of objectivity' and the 'crisis of realism' which overtook physics when Heisenberg and Bohr consciously rejecting the intentionality-structure of classical physics, gave physics a new form and a new philosophy. The new physics was called quantum mechanics and the new philosophy was called complimentarity. Using the method 'analysis of horizons,' the author attempts to disentangle the epistemological and ontological pesuppositions of Heisenberg's view of complementarity. A similar analysis of Bohr's view of complimentarity reveals a remarkable contrast in basic philosophy between the two founders of quantum physics. The author distinguishes various kinds of objectivity …


Reality In Heisenberg's Philosophy - Chapter Eight Of Heelan's Quantum Mechanics And Objectivity, Patrick Heelan Jan 1965

Reality In Heisenberg's Philosophy - Chapter Eight Of Heelan's Quantum Mechanics And Objectivity, Patrick Heelan

Research Resources

This chapter contains a study of Heisenberg's views of the ontological content of quantum mechanics from I925 until the present day. During the quantum revolution of I925, he began by accepting a Berkeley-type empiricism in which the reality of a quantum mechanical system was reduced to that of a set of observation events, which were, however, acausally connected and in consequence did not constitute a stable phenomenal object of experimental knowledge. After 1955, he professed a modified form of Kantian philosophy whose starting point was the existence of universal and necessary scientific laws. Those universal and necessary scientific laws from …


The Personality Of Educable Mentally Retarded Children As Compared To A General Child Population, Miles Raymond Mciver Jul 1961

The Personality Of Educable Mentally Retarded Children As Compared To A General Child Population, Miles Raymond Mciver

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Survey Of The Mathematics And Science Programs For The Gifted Students In The Secondary City Schools Of Indiana, George E. Roach Jun 1956

A Survey Of The Mathematics And Science Programs For The Gifted Students In The Secondary City Schools Of Indiana, George E. Roach

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


An Analysis Of The Characteristics Of The Exceptional Child, Thomas Edward Jordan Jul 1951

An Analysis Of The Characteristics Of The Exceptional Child, Thomas Edward Jordan

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Follow-Up Of The Graduates Of Newport High School From 1935-1949, John W. Park Oct 1950

A Follow-Up Of The Graduates Of Newport High School From 1935-1949, John W. Park

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Follow-Up Of The Graduates Of Newport High School From 1935-1949, John W. Park Oct 1950

A Follow-Up Of The Graduates Of Newport High School From 1935-1949, John W. Park

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


A Follow-Up Study Of The Graduates Of Mecca High School From 1930 To 1949, Charles Roccia Sep 1950

A Follow-Up Study Of The Graduates Of Mecca High School From 1930 To 1949, Charles Roccia

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


Criticism Of Anne Brontë'S Two Novels, Betty Jean Johnson Aug 1950

Criticism Of Anne Brontë'S Two Novels, Betty Jean Johnson

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.