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9781587213236

Mathematical Logic and the Philosophy of God and Man

by
  • ISBN13:

    9781587213236

  • ISBN10:

    1587213230

  • Format: Paperback
  • Copyright: 2000-03-01
  • Publisher: Authorhouse
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Table of Contents

Preface v
PART I. THE PHILOSOPHY OF GOD
Eternal and Necessary Existence of Some One Unchangeable and Independent Being
1(16)
Introduction
1(1)
Proof of ``Some One Unchangeable and Independent Being is Eternal''
1(2)
Proof of ``The Unchangeable and Independent Being is Necessarily Self-Existing''
3(1)
Conclusion
3(1)
References
4(2)
Addendum: Alternative Proof of ``Some One Unchangeable...Being is Eternal''
6(1)
Addendum II: Proof of the Lemma ``Some Being is Eternal''
7(2)
Appendix: Functional Calculus of First-Order
9(5)
Appendix II: Functional Calculus of First-Order
14(2)
Appendix III: The Greek Alphabet
16(1)
``Some Being is a Necessary Being''-The Thomistic Third Proof of the Existence of God (``possibilia et necessaria''): Mathematically Verified by (I) First-Order Functional Calculus (II) Boolean Algebra, (III) Propositional Calculus
17(8)
Proof of ``Some Being is a Necessary Being''
17(5)
First-Order Functional Calculus
17(1)
Boolean-Algebra
18(1)
Propositional Calculus
19(1)
Conclusion
20(1)
References
20(2)
Appendix: Boolean Algebras-Definition, Postulates, Theorems
22(3)
God: Some Attributes Mathematically Proven through the First-Order Functional Calculus of Classes and Relations
25(22)
The Necessary Being is Infinite in Perfection (and Omnipresent)
25(1)
Matter is not Necessarily Self-Existent (not a Necessary Being)
26(1)
The Big-Bang Cosmology and Unified Field Theory: An Overview
27(1)
Matter is Contingent
28(1)
The Necessary Being is not Matter
29(1)
The Necessary Being is Spirit
29(1)
Some One Unchangeable Independent Being is Necessarily Self-Existent (Necessary Being): Calculus of Identity and Russell's Definite Description
30(1)
Some One Unchangeable Independent Being is Spirit
31(1)
``God'': An Insight from W.V.O. Quine
31(1)
God is Immutable
32(1)
The Necessary Being is an Intelligent Being
33(1)
There is only (exactly) One Independent and Necessary Being
33(1)
References
34(2)
Addendum
36(6)
Proof of ``Some Necessary Being is Eternal'' and ``Some Eternal Being Is Necessary
36(1)
The Contingency of Matter and of the Human Soul
37(1)
God: Further Elaboration Upon ¶ IX
38(2)
Addendum II
40(1)
Proof of the ``Teleological'' Argument for the Existence of God
40(2)
Addendum III
42(5)
Proof of ``God is a Free Agent''
42(1)
Proof of ``God is Omnipotent (i.e. of Infinite Power)''
43(1)
Proof of ``God is Omniscient (i.e. of Infinite Knowledge)''
44(3)
God: Existence and Essence-Mathematically Proven by a Boolean Algebra of Sets
47(26)
Preface
49(2)
Table of Contents
51(2)
Proof of ``There has always existed One Unchangeable Independent Being''
53(2)
Proof of ``The Unchangeable and Independent Being is Necessarily Self-Existing''
55(1)
Proof of ``The Material World is not the Self-Existent Being''
56(2)
Proof of ``Whatever is Self-Existent is Infinite in Perfection''
58(1)
Proof of ``There do not exist two Necessary and Independent Beings''
59(1)
Conclusion
60(1)
References
60(1)
Immutability and Intelligence of the Divine Essence Determined by the Boolean Algebra of Sets
61(12)
Proof of ``God is Immutable'' (God does not suffer change)
61(2)
Proof of ``First-Cause, or Self-Existent Being, is an Intelligent Being''
63(1)
Conclusion
64(1)
References
64(2)
``Something Has Always Existed'' Theorem Proven by the Boolean Algebra of Sets
66(1)
Conclusion
67(1)
References
67(2)
Select Bibliography
69(2)
Appendix: Boolean Algebras-Definition, Postulates, Theorems
71(2)
W.V.O. Quine's ``Existential Conditionals Method'' as Validity Test in the Mathematical Logic of the Eternal and Necessary Existence of Some One Unchangeable and Independent Being
73(8)
Some One Unchangeable and Independent Being is Eternal
73(3)
The Premisses, B. Conclusion
73(1)
``Existential Conditionals Method'' Truth Table for the Argument of ``Some One Unchangeable...is Eternal''
74(2)
Conclusion
76(1)
The Unchangeable and Independent Being is a Necessary Being
76(5)
The Premisses, B. Conclusion
76(1)
``Existential Conditionals Method''
76(1)
Truth Table for the Argument of ``The Unchangeable...is a Necessary Being''
77(1)
Conclusion
78(1)
Conclusion
79(1)
References
79(2)
Venn Diagrammatic Analysis of the Mathematical Proofs for the Existence and Essence of God
81(16)
Mathematical Representation
81(1)
Venn Graphical Analyses (Legend)
81(1)
Venn Diagrams (Theorems II.1-II.8)
82(11)
Conclusion
93(1)
References
93(4)
Conclusion to Part I
95(2)
PART II. THE PHILOSOPHY OF MAN 97(58)
The Human Soul-Existence, Spiritual Nature, and Creation by God: Mathematics of a Boolean Algebra and First-Order Functional Calculus
99(22)
The Existence of the Human Soul
99(2)
The Actual Self-Knowledge of the Human Soul through Itself
99(1)
Boolean Algebra: Proof of ``I exist''
99(1)
Propositional Calculus: Proof of ``I exist''
100(1)
First-Order Functional Calculus: Proof of ``I exist''
100(1)
Spiritual Nature of the Human Soul
101(4)
Boolean Algebra: Proof of ``I am a Spiritual Substance''
101(2)
First-Order Functional Calculus: Proof of ``I exist as a Spiritual Substance''
103(1)
Proof of ``The Human Soul is Spiritual''
104(1)
The Human Soul is a Substance (Substantiality of the Human Soul)
105(2)
Proof of ``The Human Soul is a Substance'': Ontological Subject Method
105(1)
Proof of ``The Human Soul is a Substance'': Operational Principle Method
106(1)
The Human Soul is One and Simple
107(2)
Proof of ``The Human Soul is One''
107(1)
Proof of ``The Human Soul is Simple''
107(2)
The Existence and Freedom of the (Human) Will
109(2)
The Human Will Exists: Proof of ``All Human Beings Possess an Immaterial Appetitive (Striving) Faculty (Will)''
109(1)
Freedom of the Human Will: Proof of ``All Human Beings are Free''
110(1)
The Human Soul is Directly Created by God
111(10)
Boolean Algebra: Proof of ``The Human Soul is Directly Created by God''
111(2)
First-Order Functional Calculus: Proof of ``The Human Soul...by God''
113(1)
References
114(2)
Addendum
116(1)
Note on the Time of Creation and Infusion of the Human (Spiritual) Soul
116(1)
Note on the Relation Between Body and Soul in ``Hylomorphism''
117(1)
A Philosophical Evaluation of the Theory of Human Evolution
118(1)
Necessity of Intelligent Design by God
119(1)
The Human Soul and ``Man'' not Products of Evolution
119(1)
Monogenism and the Creation by God
120(1)
Special Creation of Man and Original Sin in the Holy Bible
120(1)
Immortality of the Human Soul: A Leibnizian Proof Mathematically Verified by a Logistic of I. Boolean Algebra, and II. Predicate (Functional) Calculus of First-Order
121(8)
Proof of ``The Human Soul is Immortal''
121(8)
Boolean Algebra
121(3)
Predicate (Functional) Calculus of First-Order
124(2)
Conclusion
126(1)
References
126(3)
Immortality of Human Soul: Part II - Leibnizian Proof Validity Established by a Logistic of I. Functional Calculus of First - Order Isomorphic with II. Traditional Scholastic Syllogistic Analysis
129(18)
Proof of ``The Human Soul is Immortal''
129(3)
Conclusion
132(1)
References
133(1)
Addendum
134(13)
Notes on ``Functional Abstraction'' of an Extended Calculus; Law of the Contrapositive
134(1)
Quine's ``Existential Conditionals Method'' as Validity Test of the Leibnizian Sorites of the Theorem of the Immortality of the Human Soul
135(9)
Venn Graphical Analysis of the Leibnizian Sorites of the Theorem of the Immortality of the Human Soul
144(3)
Immortality of the Human Soul: Part III - Leibnizian Sorites' Validity Proven by the Scholastic Standard - Form Categorical Syllogistic Analysis
147(8)
Proof of ``The Human Soul is Immortal''
147(2)
Conclusion
149(1)
References
149(2)
Addendum to Parts I, II, III (Chapters 8, 9, 10)
151(4)
Proof of ``The Human Soul is Immortal'' (Essential and Existential Immortality)
151(2)
Conclusion to Part II
153(2)
Epilogue to Parts I and II 155(2)
The End 157(2)
Bibliography 159

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