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Full-Text Articles in Arts and Humanities
Riesz Spaces And Their Applications In Economics, Calvin E. Piston
Riesz Spaces And Their Applications In Economics, Calvin E. Piston
ACMS Conference Proceedings 1987
We will examine an economic model of pure exchange and some results concerning different notions of equilibrium. In particular, we will focus on the role played by the theory of Riesz space.
Logic And Proof For Mathematics: A Twentieth Century Perspective, Calvin Jongsma
Logic And Proof For Mathematics: A Twentieth Century Perspective, Calvin Jongsma
ACMS Conference Proceedings 1987
This talk reports on the author's experience in teaching college mathematics students the basics of logic and proof in preparation for their transitioning to upper-level proof-based mathematics courses, following that up with a philosophical and historical analysis of mathematicians' attitudes toward such a project going back to nineteenth- and twentieth-century developments in logic and foundations (De Morgan, Boole, Frege, Russell, and Hilbert). The natural deduction approach to logic and inference developed in the mid-twentieth century by Jaskowski and Fitch is recommended as a much better focused approach for learning how to do proofs in mathematics. This idea is systematically developed …
Mathematical Reflections: Standing On The Shoulders Of Giants, Karl J. Smith
Mathematical Reflections: Standing On The Shoulders Of Giants, Karl J. Smith
ACMS Conference Proceedings 1987
The layperson's response to mathematics is often that of desperation. When we tell people our occupation, do we more often than not hear about their unpleasant experiences with mathematics. They often tell us, "I studied algebra in high school and haven't used it since!" Indeed, that may be true. However, we can reply, "How many times has algebra been used on you?" We are all restricted, and protected, by the formulas of mathematics. In the mysterious metaphors we have agreed to cal mathematics, all creation is involved, from the symbol-happy logician down to the cunning geometers, the bees. When I …
Observations On Mathematics And The Christian Faith, W. David Laverell, Carl J. Sinke
Observations On Mathematics And The Christian Faith, W. David Laverell, Carl J. Sinke
ACMS Conference Proceedings 1987
There is little doubt that mathematicians are becoming more concerned with the foundations on which their discipline rests, the meaning of their work, and the philosophical stance implicit in what they do. This concern is prompted by serious questions which have been raised in recent years, questions dealing with the nature of mathematical truth, the nature of proof, certainty (or lack thereof) in mathematics, and the relationship of mathematics to the physical world. This has been particularly true for those of us involved in teaching since it is apparent that good mathematics education cannot ignore these issures.
Variations On A Theme, Robert Creighton Buck
Variations On A Theme, Robert Creighton Buck
ACMS Conference Proceedings 1987
An autobiographical narration by Robert Creighton Buck, detailing his experiences in the field of mathematics, and the various questions and themes reoccurring in the mathematical sciences.
Proof And Intution, Michael Detlefsen
Proof And Intution, Michael Detlefsen
ACMS Conference Proceedings 1987
This paper discusses various perspectives on proof and intuition by examing two epistemic systems, Intuition Intensive and Logic Intensive, and Jules Henri Poincaré's objections to the latter.
Another Look At Pick's Theorem, Dale Varberg
Another Look At Pick's Theorem, Dale Varberg
ACMS Conference Proceedings 1987
In this paper, the author discusses his experience building a proof for Pick's Theorem and theorem's history.
Introduction (1987), Paul Zwier
Introduction (1987), Paul Zwier
ACMS Conference Proceedings 1987
A Sixth Conference on Mathematics from a Christian Perspective
Edited by Robert L. Brabenec
Table Of Contents (1987), Association Of Christians In The Mathematical Sciences
Table Of Contents (1987), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1987
A Sixth Conference on Mathematics from a Christian Perspective
Edited by Robert L. Brabenec