Physical Sciences and Mathematics Commons^™

The Foundations Of Mathematics And The Mathematics Curriculum, Bayard Baylis

ACMS Conference Proceedings 1977

In teaching the foundations of mathematics within the framework of a Christian college, and particularly that of a Christian liberal arts college, there are two groups of students which must be served. The first consisted of the non-mathematics majors—those non-scientifically oriented “general anything” students who, as a catalog might put it, are to receive “an introduction to and an appreciation of the history, foundations, culture and applications of mathematics.” The second group consists of the mathematics majors, and the few science majors who have not been frightened away by the calculus. The gulf between these two groups is sufficiently large, …

A Brief Introduction To Gödel’S Theorems, Michael Detlefsen

ACMS Conference Proceedings 1977

Gödel’s two famous incompleteness theorems are results that have come up a number of times in the discussions at the 1977 ACMS conference. This paper provides a brief and relatively non-technical statement on these results and of their significance for the foundations of mathematics.

Current Work On Mathematical Truth, Michael Detlefsen

ACMS Conference Proceedings 1977

The overall aim of this paper is to serve as an introduction to the work currently being done on the topic of mathematical truth. It provides an overview of the major developments concerning mathematical truth and also evaluates those developments as potential contributions to mathematician’s understanding of the subject.

Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley

ACMS Conference Proceedings 1977

Following World War I European philosophy of science formed an alliance with mathematics culminating in an attitude of certainty and autonomy that rejected all non empirical claims to truth and purported to make all science presupposition less. The rise and fall of logical positivism has been one of the major themes of of twentieth century thought and illustrates the danger of placing too much emphasis on science and mathematics as an ideal for all knowledge. The restriction of rational inquiry to the modes of scientific verification and the processes of mathematical logic was far too confining for the containment of …

Formalizing The Liar Paradox, Frank Meyer

ACMS Conference Proceedings 1977

No abstract provided.

God: All Sufficient Or Infinite, Thomas E. Iverson

ACMS Conference Proceedings 1977

No abstract provided.

Getting Their Interest - Initiating Students Into The Study Of Foundational Issues In Mathematics, Harold Heie

ACMS Conference Proceedings 1977

No abstract provided.

Wanted: Christian Perspectives In The Philosophy Of Mathematics, Arthur F. Holmes

ACMS Conference Proceedings 1977

This paper describes the three types of theory about universals, beginning in each case with a classical historical formulation and moving to its restatement in recent analytic philosophy. It will then suggest ways in which Christian perspectives bear on theories of universals and so on mathematics.

A Christian Point Of View, A. Wayne Roberts

ACMS Conference Proceedings 1977

Does the fact that you are a Christian affect the way that you teach mathematics? This paper seeks to answer the question, what contributions can a mathematics teacher in a Christian school make to the distinctive purpose of such a school?

Of Men, Models, And Mathematics, Charles Hatfield

ACMS Conference Proceedings 1977

No abstract provided.

Skolem’S Paradox And The Predestination/Free-Will Discussion, Gene B. Chase

ACMS Conference Proceedings 1977

The purpose of this paper is to show that both sides of the predestination/free-will discussion are admissible in a way that is more profound than simply the wave-particle duality of light. In wave-particle duality there are two competing physical models of reality which are contradictory. This paper will show that not a contradiction but a difference in viewpoint is the fundamental issue in the discussion of predestination and free will. A discussion of Skolem’s paradox is helpful in this demonstration.

Introduction (1977), Robert Brabenec

ACMS Conference Proceedings 1977

No abstract provided.

Table Of Contents (1977), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1977

No abstract provided.

O(H^6) Discretization Error Finite Difference Approximation To Solutions Of The Poisson Equation In Three Variables, Robert E. Lynch

Department of Computer Science Technical Reports

No abstract provided.

Using A Prediction Model In Forecasting Appeals, Paul A. Rake

IUSTITIA

Following the 1972 reorganization of the Indiana Court of Appeals into three panels serving defined geographical districts, the Court soon found itself floundering with too many unevenly distributed cases. Lacking a sufficient base of statistical data from which to formulate a plan to cope with the problem, various proposals, including redistricting the court, adding more judges, and developing a more sophisticated staff research, could not be measured for effectiveness or advisability.

In response to these problems, the Court developed a project to deal with the future caseload by constructing a regression model to predict appeals. This model generated estimates of …

Potential Contributions Of Software Science To Software Reliability, M. H. Halstead

Department of Computer Science Technical Reports

No abstract provided.

A Quantitative Connection Between Computer Programs And Technical Prose, M. H. Halstead

Department of Computer Science Technical Reports

No abstract provided.

The Effect Of Numerical Integration In The Finite Element Approximation Of Hyperbolic Problems, Elias N. Houstis

Department of Computer Science Technical Reports

No abstract provided.

Stochastic Analysis Of The Effect Of Random Permeability Distributions On Confine Seepage, B. Dendrou, Elias N. Houstis

Department of Computer Science Technical Reports

No abstract provided.

Dual-Mode Sequential Logic For Function Independent Fault-Testing, Sumit Dasgupta, Carlos R.P. Hartmann, Luther D. Rudolph

Electrical Engineering and Computer Science - Technical Reports

This paper presents a method of using hardware redundancy to ease the problem of fault testing in sequential logic networks. Sequential logic networks are constructed using two kinds of dual-mode logic gates, one of which is specifically required to initialize a feedback loop to some logic value. Initially, it is shown that these networks can be tested for all single stuck-at-faults with six function-independent tests. Next, this method is generalized to detect large classes of multiple faults with six function-independent tests. In both cases, the network must have the proper number of extra inputs.

Operational Analysis Of Queueing Networks, Peter J. Denning, Jeffrey P. Buzen

Department of Computer Science Technical Reports

No abstract provided.

High Accuracy Finite Difference Approximation To Solutions Of Elliptic Partial Differential Equations, Robert E. Lynch, John R. Rice

Department of Computer Science Technical Reports

No abstract provided.

O(H^6) Accurate Finite Difference Approximation To Solutions Of The Poisson Equation In Three Variables, Robert E. Lynch

Department of Computer Science Technical Reports

No abstract provided.

A Time- And Space-Efficient Garbage Compaction Algorithm, F. Lockwood Morris

Electrical Engineering and Computer Science - Technical Reports

Given an area of storage containing scattered marked nodes, one may wish to rearrange them into a compact mass at one end of the area, meanwhile revising all pointers to marked nodes to show their new locations. An algorithm is here described which accomplishes this task in Iinear time relative to the size of the storage area, and in space of the order of one bit for each pointer. The algorithm operates by reversibly encoding the situation that a collection of locations point to a single location by a linear list, emanating from the pointed-to location, passing through the pointing …

Dual-Mode Combinational Logic For Function-Independent Fault Testing, Sumit Dasgupta

Electrical Engineering and Computer Science - Technical Reports

This paper presents a method of using hardware redundancy to ease the problem of fault testing in combinational logic networks. Combinational logic networks are constructed using dual-mode logic gates. Initially, it is shown that these networks can be tested for all single stuck-at-faults using just two function-independent tests. This method is then extended to detect a large class of multiple faults with the same two function-independent tests.

Software For Linear Elliptic Problems On General Two Dimensional Domains, Elias N. Houstis, John R. Rice

Department of Computer Science Technical Reports

No abstract provided.

A Compiler Extension Theorem For Lucid, Christoph M. Hoffmann

Department of Computer Science Technical Reports

No abstract provided.

Heuristics For Trie Index Minimization, Douglas E. Comer

Department of Computer Science Technical Reports

No abstract provided.

Software For Numerical Computation, John R. Rice

Department of Computer Science Technical Reports

No abstract provided.

Reliability Growth Apportionment, James K. Byers

Computer Science Faculty Research & Creative Works

A method is presented for apportioning reliability growth to the subsystems that make up a system in order to achieve the required reliability at least cost. Reliability growth apportionment is handled as an s-expected cost minimization problem subject to the constraint of meeting a system reliability requirement. The problem is formulated in terms of Duane's reliability growth model and is solved using geometric programming. The method can be useful in the early stages of system design to determine subsystem reliability growth that will allow a system reliability requirement to be met, and in the latter stages of system design when …