Oremus (Let Us Pray): An Anthology of Mathematical, Musicological, Philosophical, and Theological Papers is a compilation of twelve independent research works in a spirit of prayer (Oremus, Latin: let us pray) and mathematical rigor. The topics are inclusive of the moderate realist ontological and epistemological foundations of the philosophy of Mathematical Realism of Joseph Manago (www.lstbooks.com/bookview/2105), the application of first - order mathematical logic to theological arguments of our Lord Jesus Christ and St. John the Evangelist, the mathematical structure of the a posteriori inductive analogical inferential argument of deism for the existence of God, the philosophical evaluation of the cosmological theory of inflation (and the Multiverse Hypothesis) and of the unified field mathematical framework of string theories, the refutation of the epistemological a priorism and double - aspect monism of Spinoza (and Einstein) and mathematical analysis of some Spinozistic a priori deductive arguments, the demise of Dr. Francis Crick's "Astonishing Hypothesis" of the materialistic reductionism of all human consciousness to neural correlates in the brain, an intertheoretic - philosophical, phenomenological, and neurobiological - paradigm of the human mind (consciousness) consonant with the Catholic intermediate monistic theory of Hylomorphism, an introduction to the history of algebra from Babylon and Egypt to Fibonacci, Cardano, Viete, and Descartes, a brief history of the life, works, and thoughts of Rene Descartes, the Scriptural textual inspiration for the Mystery of Christ Songs of Joey Manago, the Schillinger projective geometrical analysis of the melodic contours of the Mystery of Christ Songs and an explication of the theory that music is the realization of the mathematical principles of material symmetry ("organic forms"), and an outline of the elements of music (sound, melody, harmony, rhythm, and form) suitable for a syllabus in a Music Theory and Composition course. Bibliography of the works of Joseph Manago appended. This book provides an in - depth insight into the versatile and profound thoughts of Joseph Manago.

The author is a mathematician, philosopher, composer - musician, molecular biologist, writer, and former professor in biomedical sciences at a dozen New York universities inclusive of the Health Sciences Center at Brooklyn (Downstate Medical Center of the State University of New York), City University of New York, Long Island University, New York Institute of Technology, and Pratt Institute. His publications include "Mathematical Logic and the Philosophy of God and Man" (Indiana: 1st Books Library, 2000; www.1stbooks.com/bookview/2105), "Mystery of Christ Songs of Joey Manago" (New York: Joseph N. Manago Publishing, 2002), popular religious ballads ("The Joy of Christmas", "Light of the World", "Bread of Life", "But This Is Eternal Life", and "Happy Father's Day") on albums released by HillTop Records (Hollywood, CA), and experimental research in cell biology and cytogenetics (Cytologia 45: 561 - 569, 1980; Biological Abstracts 72 (3): 1764, 1981). Joseph Manago did his doctoral studies at New York University, and earned his M.S. at the Vincentian Fathers' St. John's University (New York). He is an active member of the Mathematical Association of America, the American Mathematical Society, the American Philosophical Association, the American Philosophical Practitioners Association (www.appa.edu/promana.htm), and the American Society of Composers, Authors, and Publishers (A.S. C.A.P.).

Preface

Oremus (Let Us Pray): An Anthology of Mathematical, Musicological, Philosophical, and Theological Papers is a compilation of twelve independent research works written in 2002 and 2003 in a spirit of prayer (Oremus, Latin: let us pray) and mathematical rigor. Our prayer is the Lord's Prayer (Matthew 6: 9 - 13): Oremus,

OUR FATHER,

Who art in Heaven

Hallowed be Thy name.

Thy Kingdom come,

Thy will be done,

on earth as it is in Heaven.

Give us this day our daily bread;

And forgive us our trespasses,

as we forgive those who trespass against us;

And lead us not into temptation,

but deliver us from evil;

For Thine is the Kingdom, and the

power, and the glory, for ever. Amen.

Our prayer is: Oremus, "that they should know you, the only true God, and the one whom you sent, Jesus Christ" (John 17: 3)

In Chapter 1, the moderate realist ontological and epistemological foundations of the philosophy of Mathematical Realism of Joseph Manago (www.lstbooks.com/bookview/2105) have been explicated in terms of the moderate realist underpinnings of I. Natural Science and Metaphysics, and II. Mathematics and Logic.

In Chapter 2, the mathematical principles of the First - Order Functional Calculus of Classes and Relations have been rigorously applied to five logical arguments of our Lord Jesus Christ apropos Christ's Kingdom (John 18: 36) and Abraham (John 8: 31 - 59), and to the theological ramifications of I John 2: 22 - 23 on the satanic nature of Judaism and Islam.

In Chapter 3, the mathematical structure of the deistical argument for the existence of God is presented as an a posteriori inductive analogical inferential logic from design in contradistinction with the a posteriori deductive "teleological" proof (Mathematical Logic and the Philosophy of God and Man, Manago, pp. 40 - 41); also, the erroneous deistical exclusion of Sacred Scripture, the Five Articles of Deism, and the ideas of select American Founding Fathers and Presidents which exemplify the deistical affirmation of the Being of God are discussed.

In Chapter 4, the cosmological theory of inflation (and the Multiverse Hypothesis) and the unified field mathematical framework of the string theories are physically explained and philosophically evaluated in terms of the metaphysical principles of Mathematical Realism (Mathematical Logic and the Philosophy of God and Man, Manago, Part I: pp. 1 - 95).

In Chapter 5, the epistemological a priori method and double - aspect monism of Spinoza ("Einstein's Greatest Blunder") have been refuted, and the unsound nature of some Spinozistic a priori deductive arguments have been exposed as unsound consequent to mathematical analysis with the First - Order Functional Calculus.

In Chapter 6, a terse review of Dr. Francis Crick's The Astonishing Hypothesis: The Scientific Search for the Soul (New York: Charles Scribner's Sons, 1994) points to the lack of any empirical neurobiological evidence supportive of its "Astonishing Hypothesis" of a materialistic reductionism of all human consciousness to neural correlates in the brain especially with respect to human self - consciousness, abstract - universal thoughts, and the free will. (Note: No response has been received from Dr. Francis Crick)

In Chapter 7, an intertheoretic - philosophical, phenomenological, and neurobiological - ­paradigm of the human mind (consciousness) consonant with the intermediate monistic theory of Hylomorphism has been explicated; twenty (20) principles precisely characteristic of the human mind have been expounded and synthesized into one generalization of St. Thomas Aquinas (II De Anima, lec.2, no. 273) on the primacy of a spiritual human soul.

In Chapter 8, an introduction to the history of algebra traces the first mathematics to ancient Babylon and Egypt during the 3rd millennium B.C. in the form of cuneiform Babylonian tablets of problems of Pythagorean triples ( a² + b² = c²) and the Rhind Papyrus of Ahmes (Ahmose), an Egyptian mathematician, which dealt with problems of linear equations. Subsequent Greek, Indian, Arab, Latin, Italian, and French scholarship is also delineated.

In Chapter 9, a brief history of the life, works, and thoughts of the French mathematician, scientist, philosopher, Rene Descartes, has been presented in terms of his Jesuit education in mathematics and Scholasticism, systematism of analytic geometry and contributions to algebra, contributions to mechanics/optics/cosmology/physiology/psychology, and philosophical rationalism of the intuitive principle of Cogito; ergo sum ("I think; therefore, I exist") and the mathematical deductions of the existence of God and the sprituality and immortality of the human soul thereof.

In Chapter 10, the Scriptural textual inspiration for the Mystery of Christ Songs of Joey Manago is presented with specific New Testament references which have inspired the music and lyrics of this series. A Discography of Joseph Manago is also appended.

In Chapter 11, the results of the Schillinger projective geometrical analysis of the melodic contours of the Mystery of Christ Songs are presented and discussed in terms of the musicological theories of Schillinger and Hindemith. Some discussion is made of the theory that music is the realization of mathematical logic - of mathematical principles of material symmetry ("organic forms").

Finally, in Chapter 12, an outline of the elements of music (sound, melody, harmony, rhythm, and form) suitable for a syllabus in a Music Theory and Composition course is presented. Hence, the coupling of the spirit of oremus (Let us pray) and mathematical logic so excellently imbues Oremus. Oremus (Let us pray)!