TAGS: :, 2009., A., al., Biere, Boolean Algebra -- Congresses, by, Central, Computer algorithms -- Congresses, Decision making -- Congresses, ebook, edited, et, Handbook, http://ebookcentral.proquest.com/lib/uaz/detail.action?docID=448770., IOS, of, Press, Propositional calculus -- Congresses, ProQuest, Satisfiability

SERIES: Frontiers in Artificial Intelligence and Applications [185]

Formats: PDF

ID: 6907

LCN: QA9.3 -- .H36 2009eb

SERIES: Frontiers in Artificial Intelligence and Applications [185]

Formats: PDF

ID: 6907

LCN: QA9.3 -- .H36 2009eb

discovered on SAT Live and "Converting (math) problems to SAT instances" Computer Science StackExchange question

'Satisfiability (SAT) related topics have attracted researchers from various disciplines: logic, applied areas such as planning, scheduling, operations research and combinatorial optimization, but also theoretical issues on the theme of complexity and much more, they all are connected through SAT. My personal interest in SAT stems from actual solving: The increase in power of modern SAT solvers over the past 15 years has been phenomenal. It has become the key enabling technology in automated verification of both computer hardware and software. Bounded Model Checking (BMC) of computer hardware is now probably the most widely used model checking technique. The counterexamples that it finds are just satisfying instances of a Boolean formula obtained by unwinding to some fixed depth a sequential circuit and its specification in linear temporal logic. Extending model checking to software verification is a much more difficult problem on the frontier of current research. One promising approach for languages like C with finite word-length integers is to use the same idea as in BMC but with a decision procedure for the theory of bit-vectors instead of SAT. All decision procedures for bit-vectors that I am familiar with ultimately make use of a fast SAT solver to handle complex formulas. Decision procedures for more complicated theories, like linear real and integer arithmetic, are also used in program verification. Most of them use powerful SAT solvers in an essential way. Clearly, efficient SAT solving is a key technology for 21st century computer science. I expect this collection of papers on all theoretical and practical aspects of SAT solving will be extremely useful to both students and researchers and will lead to many further advances in the field.'

Edmund Clarke (Winner of the 2007 A.M. Turing Award & FORE Systems University Professor of Computer Science and Professor of Electrical and Computer Engineering at Carnegie Mellon University)

IOS Press is an international science, technical and medical publisher of high-quality books for academics, scientists, and professionals in all fields.

Some of the areas we publish in:

-Biomedicine

-Oncology

-Artificial intelligence

-Databases and information systems

-Maritime engineering

-Nanotechnology

-Geoengineering

-All aspects of physics

-E-governance -E-commerce

-The knowledge economy

-Urban studies

-Arms control

- Understanding and responding to terrorism

- Medical informatics

- Computer Sciences

**

Formats: EPUB

ID: 6906

ID: 6906

Formats: PDF

ID: 6905

LCN: LCC B765.T54

(Also, I was thinking today that the word ἀνάλογος would best be translated "higher logic".)

ID: 6905

LCN: LCC B765.T54

translation of *Le Sens du Mystère et le Clair-Obscur Intellectuel, Nature et Surnaturel* (1934)

A very profound quote from Fr. G.-L. (p. 142):

he [St. Thomas] feared neither logic nor mystery—and the first leads unto the second

The footnote is interesting, too (p. 152):

41. St. Thomas never would have admitted like Suarez that the principle of contradiction is not applied in the case of the Trinity. It is applied there according to an eminent mode that remains hidden to us, and nothing can show that this mystery implies a contradiction.

I never knew Suarez held there could be an exception to the law of non-contradiction.

TAGS: Propositional calculus, Symbolic and mathematical logic

SERIES: Chapman & Hall/CRC Studies in Informatics Series [0]

Formats: PDF

ID: 6903

LCN: QA9.3.M37 2009

SERIES: Chapman & Hall/CRC Studies in Informatics Series [0]

Formats: PDF

ID: 6903

LCN: QA9.3.M37 2009

discovered on SAT Live

The book under review covers a number of topics related to the
satisfiability problem of propositional logic formulas (SAT). Since
Cook and Levin proved in the early 1970s the NP-completeness of SAT,
this problem has been at the center of attention of computer science
theoreticians as well as practitioners.

The book consists of 14 chapters. Chapters 1–6 are a more or less standard introduction to propositional logic: syntax and semantics (chapter 2), normal forms (chapter 3), the Craig interpolation theorem (chapter 4), the Post completeness theorem (chapter 5), and the proof of the compactness theorem based on König's lemma (chapter 6). Chapters 7–10 are devoted to clausal logic, i.e. to formulas in conjunctive normal form. In chapter 7 the resolution rule is presented and three completeness results are established: (i) for proofs based on resolution and subsumption rules, (ii) for resolution refutation proofs, and (iii) for the semantic resolution rule of Slagle. In chapter 8 four classical algorithms for testing satisfiability are considered: (i) the table method, (ii) tableaux, (ii) the Davis-Putnam algorithm, and (iv) the Davis-Putnam-Logemann-Loveland algorithm (DPLL). All of them work in exponential time. Some possible improvements of DPLL are discussed in brief. The main known subclasses of formulas for which SAT can be solved in polynomial time are presented in chapter 9. The algorithms for some of them (e.g., for positive formulas, negative formulas, and DNFs) are trivial. Developing polynomial algorithms for some other cases (e.g., Horn formulas, dual Horn formulas, and Krom formulas (2-CNFs)) requires special effort. The class of affine formulas (linear equations) can be solved using standard algebraic techniques. In chapter 10 it is shown how SAT can be embedded into integer programming and matrix algebra.

Chapter 11 includes the proof of the Cook-Levin theorem on the NP-completeness of SAT and 3-CNF. It is also shown that in most cases the satisfiability problem remains NP-complete for classes of formulasF decomposed into a union F1∪F2 so that F1 and F2
belong to different "easy'' classes from chapter 9. Chapters 12 and 13
illustrate some applications of SAT to knowledge representation. In the
former it is shown how first-order formulas over finite domains and
some special kinds of constraints can be reduced to SAT. In the latter,
polynomial time equivalence is established between general constraint
satisfaction over finite domains and SAT. Chapter 13 ends with a proof
of the well-known Shaefer dichotomy theorem which divides classes of
Boolean constraints into solvable in polynomial time and NP-complete.
It seems that the last chapter, chapter 14, goes slightly beyond the
main scope of the book. Stable models (answer set semantics) are
considered for normal logic programs, and some applications of SAT
solvers to their computation are discussed.

There are exercise sections attached to each chapter. The bibliography includes 48 references.

{Reviewer's remarks: The author's reference policy is unclear. The list of references is too short for the variety of material covered in the book. Most of the results are not attributed. Results that have author names associated with them are not accompanied by references to the original publications. For example, in Section 2.3 a special kind of partial valuation, autarky, is introduced without a reference to the work of B. Monien and E. Speckenmeyer [see Discrete Appl. Math. 10 (1985), no. 3, 287–295; MR0777220] where it was originally introduced. Then autarkies are investigated in Sections 7.7, 9.3, and 11.7, but there are no references to the papers of A. Van Gelder and of O. Kullmann which are the sources of most of the presented results.}

The book consists of 14 chapters. Chapters 1–6 are a more or less standard introduction to propositional logic: syntax and semantics (chapter 2), normal forms (chapter 3), the Craig interpolation theorem (chapter 4), the Post completeness theorem (chapter 5), and the proof of the compactness theorem based on König's lemma (chapter 6). Chapters 7–10 are devoted to clausal logic, i.e. to formulas in conjunctive normal form. In chapter 7 the resolution rule is presented and three completeness results are established: (i) for proofs based on resolution and subsumption rules, (ii) for resolution refutation proofs, and (iii) for the semantic resolution rule of Slagle. In chapter 8 four classical algorithms for testing satisfiability are considered: (i) the table method, (ii) tableaux, (ii) the Davis-Putnam algorithm, and (iv) the Davis-Putnam-Logemann-Loveland algorithm (DPLL). All of them work in exponential time. Some possible improvements of DPLL are discussed in brief. The main known subclasses of formulas for which SAT can be solved in polynomial time are presented in chapter 9. The algorithms for some of them (e.g., for positive formulas, negative formulas, and DNFs) are trivial. Developing polynomial algorithms for some other cases (e.g., Horn formulas, dual Horn formulas, and Krom formulas (2-CNFs)) requires special effort. The class of affine formulas (linear equations) can be solved using standard algebraic techniques. In chapter 10 it is shown how SAT can be embedded into integer programming and matrix algebra.

Chapter 11 includes the proof of the Cook-Levin theorem on the NP-completeness of SAT and 3-CNF. It is also shown that in most cases the satisfiability problem remains NP-complete for classes of formulas

There are exercise sections attached to each chapter. The bibliography includes 48 references.

{Reviewer's remarks: The author's reference policy is unclear. The list of references is too short for the variety of material covered in the book. Most of the results are not attributed. Results that have author names associated with them are not accompanied by references to the original publications. For example, in Section 2.3 a special kind of partial valuation, autarky, is introduced without a reference to the work of B. Monien and E. Speckenmeyer [see Discrete Appl. Math. 10 (1985), no. 3, 287–295; MR0777220] where it was originally introduced. Then autarkies are investigated in Sections 7.7, 9.3, and 11.7, but there are no references to the papers of A. Van Gelder and of O. Kullmann which are the sources of most of the presented results.}

Reviewed by M. I. Dekhtyar

Although this area has a history of over 80 years, it was not until the creation of efficient SAT solvers in the mid-1990s that it became practically important, finding applications in electronic design automation, hardware and software verification, combinatorial optimization, and more. Exploring the theoretical and practical aspects of satisfiability, **Introduction to Mathematics of Satisfiability** focuses on the satisfiability of theories consisting of propositional logic formulas. It describes how SAT solvers and techniques are applied to problems in mathematics and computer science as well as important applications in computer engineering.

The book first deals with logic fundamentals, including the syntax of propositional logic, complete sets of functors, normal forms, the Craig lemma, and compactness. It then examines clauses, their proof theory and semantics, and basic complexity issues of propositional logic. The final chapters on knowledge representation cover finite runs of Turing machines and encodings into SAT. One of the pioneers of answer set programming, the author shows how constraint satisfaction systems can be worked out by satisfiability solvers and how answer set programming can be used for knowledge representation.

**

TAGS: Magnetism -- Early works to 1800

Formats: EPUB

ID: 6902

Formats: EPUB

ID: 6902

Formats: PDF

ID: 6901

ID: 6901

Formats: PDF

ID: 6900

LCN: 2002116138

ID: 6900

LCN: 2002116138

This book is the work of the TFP’s Committee on American Issues which put together the research and observations.

Fr. John Trigilio called it “an erudite, succinct and accurate diagnosis of the current sex scandal climate in Catholic America.”

**For a FREE DOWNLOAD in PDF, Click Here: I Have Weathered Other Storms**

Both practical and theological, *I Have Weathered Other Storms* is a key to understanding and responding to one of the worst crisis in American Catholic history.

__Read More:__ A Bold Response to Scandals, A Clear Reaffirmation of Church Teaching

Formats: PDF

ID: 6899

ID: 6899

Fr. Alban Butler's biography is better, conciser, and Catholic.

### Review

### About the Author

This literate and accessible study examines the profound impact Paulinus had on Christian thought during a crucial period of its development. The letters of Paulinus and his correspondents portray an early Christian 'web' of shared concepts, intellectual discussion, and group development. Catherine Conybeare examines how the very process of writing and transmitting letters between members of a community helped to bind that community together and to aid the creation of ideas which would continue to reverberate for centuries. Paulinus was key to that group iconic as a model of behavior, as a conversion success story, and as an intellectual contributor able to bridge the old world and the new.

**

`This is an extraordinary book which deserves a very wide readership indeed.' Expository Times, 01/08/2001

`stunning concluding chapter' Expository Times, 01/08/2001

`Catherine Conybeare's "Paulinus Noster: Self and Symbols in the Letters of Paulinus of Nola" ... offers a substantial and altogether impressive insight into the theology, literature and self-understanding of the church during a crucial period in its formation, seen through the eyes of a figure who was undeniably at its centre and very much representative of his age.' Expository Times, 01/08/2001

Catherine Conybeare is at University of Manchester.

Formats: EPUB

ID: 6898

LCN: PA6554.P5Z89 1999

ID: 6898

LCN: PA6554.P5Z89 1999

Fr. Alban Butler's biography is better, conciser, and Catholic.

This study offers a comprehensive reconsideration of the life and literary works of Paulinus of Nola (ca. 352-431), a Roman senator who renounced his political career and secular lifestyle to become a monk, bishop, impresario of a saint's cult, and prominent Christian poet. Dennis Trout considers all the ancient materials and modern commentary on Paulinus, and also delves into archaeological and historical sources to illuminate the various settings in which we see this late ancient man at work. This vivid historical biography traces Paulinus's intellectual and spiritual journey and at the same time explores many facets of the late ancient Roman world.

In addition to filling out the details of Paulinus's life at Nola, Trout looks in depth at Paulinus before his ascetic conversion, providing a new assessment of this formative period to better understand Paulinus's subsequent importance within the influential ascetic and ecclesiastical circles of his age. Trout also highlights Paulinus's place in the swirl of rebellions and heresies of the time, in the pagan revival of the 390s, and especially in the development of a new genre of Christian poetry. And, he examines anew Paulinus's relationships with such figures as Jerome, Rufinus, and Augustine. Trout fully explores the complexity of a figure who has too often been simplified and provides new insights into the kaleidoscopic character of the age in which he lived.

**

SERIES: Patrologiae Cursus Completus: Series Latina [76]

Formats: DJVU

ID: 6897

St. Catherine of Siena is another who said in her *Dialogue *God is the "*adempitore de’ sancti desidèri*"

Formats: DJVU

ID: 6897

The § on the illuminative stage of the spiritual life in Abbé Columba Marmion's *Le Christ idéal du moine*, which my friend read >1× when he was in the monastery and recommended to me years ago, quotes on p. 357 from St. Gregory the Great's *Moralia* on Job 31:35 ("Quis mihi tribuat auditorem, ut desiderium meum audiat Omnipotens…"), *PL* 76 col. 238:

43.

Non verba sed desideria cordis Deus exaudit.— Notandum quoque est quod nequaquam dicitur preces, seddesiderium meum Omnipotens audiat. Vera quippe postulatio non in oris est vocibus, sed in cogitationibus cordis. Valentiores namque voces apud secretissimas aures Dei non faciunt verba nostra, sed desideria. Æternam etenim vitam si ore petimus, nec tamen corde desideramus, clamantes tacemus. Si vero desideramus ex corde, etiam cum ore conticescimus, tacentes clamamus.

TAGS: Capillarity, Celestial mechanics, Tides

Formats: DJVU

ID: 6896

Formats: DJVU

ID: 6896

DjVu pp. 368-377 are Laplace's derivation of the conserved vector for planetary motion, the "Hermann-Bemoulli-Laplace vector"

cf. *CRC Handbook of Lie Group Analysis of Differential Equations* vol. 2 §5.2 (PDF pp. 170-171)

Formats: DJVU

ID: 6894

ID: 6894

Maxwell preferred "metaphysics" over mathematics:

PDF p. 12 of

- Rinat M. Nugayev, “Communicative
Rationality of the Maxwellian Revolution,”
*Foundations of Science*20, no. 4 (November 1, 2015): 447–78

quotes Maxwell (letter in his bio. by Campbell and Garnett 1882, p. 261):

I find I get fonder of metaphysics and less of calculations continually

and Gustav Kirchhoff’s comment

He is a genius, but one has to check his calculations.

This succinctly summarizes Duhem's view of Maxwell, too!

- p. 232

He read and seemed to disagree with Newman's*Essay on the Development of Christian Doctrine*.

Formats: DJVU

ID: 6893

ID: 6893

v.3.

IX. Waves from moving sources.

Appendix J: Note on the size and inertia of electrons.

Appendix K. Vector analysis.

X. Waves in the ether

Formats: DJVU

ID: 6889

ID: 6889

The most curious statement by Heaviside on Ampère is in his paper "The Mutual Action of a Pair of Rational Current-Elements*" *(*The Electrician*, Dec. 28, 1888 (written: 25 Nov. 1888), p. 230 = *Electrical Papers* (vol. 2), p. 501); Heaviside ends the paper with:

cf. "Why is one of Maxwell's equations named after Ampère? Who first named it after Ampère?"It has been stated, on no less authority than that of the great Maxwell

^{[Treatise §528]}, that Ampère's law of force between a pair of current-elements is the cardinal formula of electrodynamics. If so, should we not be always using it? Do weeveruse it? Did Maxwell, in his treatise? Surely there is some mistake. I do not in the least mean to rob Ampère of the credit of being the father of electrodynamics; I would only transfer the name of cardinal formula to another due to him, expressing the mechanical force on an element of a conductor supporting current in any magnetic field; the vector product of current and induction. There is something real about it; it is not like his force between a pair of unclosed elements; it is fundamental; and, as everybody knows, it is in continual use, either actually or virtually (through electromotive force) both by theorists and practicians.

Duhem's Electric Theories of J. Clerk Maxwell ch. 9. Conclusion cites:

O. Heaviside . On the Electromagnetic Wave-Surface (Philosophical Magazine, 5^{th} series vol. XIX, p. 397; 1885.— Heaviside ’s Electrical Papers, vol. II, p. 8 [DjVu p. 29]).— On Electromagnetic Waves, Especially in Relation to the Vorticity of the Impressed Forces and the Forced Vibrations of Electromagnetic Systems (Philosophical Magazine, 5^{th} series, vol. XXV, p. 130; 1888.—Electrical Papers, vol. II, p. 375 [DjVu p. 397]).

Formats: DJVU

ID: 6890

ID: 6890

It is also interesting, reading Heaviside’s assessment of Ampère’s fundamental law of force (from the quote Alan provided), to remember that he ended up introducing the notion of “impressed forces” in Maxwell field equations (denoting

eandhthe “impressed electric and magnetic forces at a point,” while he, rather confusingly, calledEandHthe “electric and magnetic forces of induction”), seeElectrical Papers, vol. 1, pp. 428-455. I find this noteworthy since the notion offorceitself has subsequently been somewhat confused and reduced to a propagative action (a wave) in field-based E&M theory, consistent with Heaviside’s own dissipative and thermoelectric recasting of Maxwell’s electrodynamics (something, Alan, I mentioned to you and touch upon in a follow up paper appealing to Ampère’s electrodynamic theory from a multiscalar standpoint).In fact, Heaviside reused the idea that the “activities” of “forces” acting within a dynamic system can be summed up to

dU/dt. But he defined that concept of activity as the vector product of a generalized force (e.g.EorH) and a velocity (JorG), meaning the “activity” of themotionalelectric or magnetic force, see p. 435 (somewhat intuitive, considering it from the perspective of propagating, field-like “forces,” but confusing as well):“[…] in the dynamical theory, it is the electric current itself that is a velocity, in the generalized sense, with the electromotive force as the generalized force; so that force × velocity = activity.”

For electrical bodies in motion, Heaviside could have taken his cue from Weber’s relative velocity law of inter-

actionsbetween elementary charged particles. Symptomatically, he didn’t, his modified (anti-fluidic) energetic conceptualization of electric and magnetic actions and fields—compared to Maxwell’s successively mechanical and quaternionic conceptualizations—betraying his overall view of propagative electromagnetic induction (within which the notion of force, à la Ampère & Weber, gets essentially demoted).

S. Hyacinthi, o.p.n.Sebastien

Formats: DJVU

ID: 6891

ID: 6891

v.2.

V.
Mathematics and the age of the earth.

VI. Pure diffusion of electric
displacement.

Appendix C: Rational units.

VII. Electromagnetic waves and
generalised differentiation.

VIII. Generalised differentiation and
divergent series.

Appendices:

D. On compressional electric or magnetic
waves.

E. Dispersion.

F. On the transformation of optical wave surfaces
by homogeneous strain.

G. Note of the motion of a charged body at a
speed equal to or greater than that of light.

H.Note on electrical waves
in sea water.

I. Note on the attenuation of Hertzian waves along
wires.

Formats: DJVU

ID: 6892

"Ampere's Rule [or 'formula' or 'law'] for deriving the magnetic force from the current" (cf. p. 64) is mentioned*passim*.

ID: 6892

v.1.

I. Introduction.

II.
Outline of the electromagnetic connections.

Appendix A: The rotational
ether in its application to electromagnetism.

III. The elements of
vectorial algebra and analysis.

IV. Theory of plane electromagnetic
waves.

Appendix B: A gravitational and electromagnetic analogy.

"Ampere's Rule [or 'formula' or 'law'] for deriving the magnetic force from the current" (cf. p. 64) is mentioned

Formats: EPUB

ID: 6888

ID: 6888

Shorter and faster reading than our other
abridgement, this book just flows and flows. It includes Our Lady's
participation in the events of Our Lord's Passion and death. It shows
how the Angels served the Blessed Virgin, how the devils waged war
against her, the special graces she received--such as, continual
Eucharistic presence of Our Lord after she received Communion, frequent
visits to Heaven during her life on earth, etc. Impr. 430 pgs,

Formats: EPUB

ID: 6887

ID: 6887

A highly successful abridgment of the
monumental 2,676 page, 4 volume life of the Blessed Virgin Mary, as seen
in mystic vision by Venerable Mary of Agreda (1602-1665). This book
overflows with enthralling information about Our Lord and Our Lady,
about the creation of the world, the meaning of the Apocalypse,
Lucifer's rebellion, the location of hell, the hidden life of Jesus,
etc. Reveals that St. Joseph ate meat, but Our Lord and Our Lady seldom
did. Makes Christ's hidden life come alive. Acclaimed by the popes,
cardinals and theologians—one of the greatest Catholic books ever.

Formats: PDF

ID: 6886

ID: 6886

SERIES: Travaux & Mémoires des Facultés de Lille [2.80]

Formats: PDF

ID: 6883

Formats: PDF

ID: 6883

cited in:

Darrigol, Olivier. “The Gibbs Paradox: Early History and Solutions.” *Entropy* 20, no. 6 (June 6, 2018): 443. https://doi.org/10.3390/e20060443.

Saunders, Simon. “The Gibbs Paradox.” *Entropy* 20, no. 8 (July 25, 2018): 552. https://doi.org/10.3390/e20080552.

TAGS: Ascorbic acid—Therapeutic use, Cancer, Cancer—Chemotherapy, Neoplasms, Neoplasms—Drug therapy, Vitamin C—Therapeutic use

Formats: PDF

ID: 6881

LCN: QZ267 C182c 1979a

Formats: PDF

ID: 6881

LCN: QZ267 C182c 1979a

TAGS: antioxidant, apoptosis, Ascorbic Acid, Cancer, Vitamin C

SERIES: SpringerBriefs in Cancer Research [0]

Formats: EPUB,PDF

ID: 6880

p. 6:

SERIES: SpringerBriefs in Cancer Research [0]

Formats: EPUB,PDF

ID: 6880

Research on vitamin C and its effects on cancer is growing in popularity around the world as positive research continues to accumulate building a stronger case for its effectiveness. This concise SpringerBrief on Vitamin C and Cancer presents the latest findings on how vitamin C induces apoptosis. A high concentration of vitamin C allows for ascorbate to generate hydrogen peroxide in tissue that can selectively kill cancer cells. Research has confirmed that high-dose vitamin C is cytotoxic to a wide variety of cancer cell lines, and that it also boosts the anti-cancer activity of several common chemotherapy drugs. Vitamin C also does more than just kill cancer cells. It boosts immunity by stimulating collagen formation to help the body wall off the tumor. It inhibits hyaluronidase, an enzyme that tumors use to metastasize and invade other organs throughout the body. This concise and up-to-date Brief is geared towards cancer researchers and scientists, as well as physicians interested in the basic science and the translational potential of vitamin C in cancer therapeutics.

p. 49:

Clinical Studies and Reports of Antineoplastic Agents with Vitamin CWe found 13 published clinical studies or reports using antineoplastic agents and vitamin C from 2004 to 2013. The studies were mostly in patients with advanced disease, recurrent or refractory [stubborn] to previous treatments, except for the Japanese trial by Takahashi who had 60 newly diagnosed patients. The cancers treated included several different types such as breast, 𝐦𝐮𝐥𝐭𝐢𝐩𝐥𝐞 𝐦𝐲𝐞𝐥𝐨𝐦𝐚, pancreatic and leukemia. These trials used intravenous vitamin C in a wide range that went from 𝟏 𝐠 𝐚𝐧𝐝 𝐮𝐩 𝐭𝐨 𝟏𝟐𝟓 𝐠 given daily, twice a week, weekly or according to the chemotherapy cycle schedule. The results from these trials were generally positive. Intravenous vitamin C was well tolerated in all the doses given

Moreover, there is a recent report on vitamin C as a toxic agent against cancer cells when given intravenously [25]. The doses we are advocating for therapy are substantially higher doses (𝟐𝟓–𝟐𝟎𝟎 𝐠) and most importantly are given 𝐢𝐧𝐭𝐫𝐚𝐯𝐞𝐧𝐨𝐮𝐬𝐥𝐲. We believe intravenous administration is more effective, because plasma levels of ascorbate can reach higher levels than those attained by oral intakes and these higher levels can be sustained for longer periods of time. These two aspects seem necessary to produce a selective toxic effect by vitamin C on cancer cells. We are attempting to reach plasma levels that are 100 times higher than those that can be achieved by oral administration.

Formats: PDF

ID: 6879

LCN: Q174.8.J35 1988

ID: 6879

LCN: Q174.8.J35 1988

"In The Savior of Science Jaki illumines one of the best kept secrets of science history - the role theology has historically played in fruitful scientific development." "The volume begins by portraying a most-neglected yet all-important facet of cultural history - the invariable stillbirths of science in great ancient cultures, including Greece, China, India, and the early Muslim empire. This overview provides the background for the first major thesis of the book: belief in Christ, the only begotten Son of God - a belief absent in all these cultures - secured for science its only viable birth in a period beginning in the High Middle Ages.". "In the second part of the book Jaki continues his critique of science history with a number of meticulously argued theses about Christian monotheism. These include the view that Christian monotheism provides intellectual safeguards for the cosmological argument (an argument powerfully supported by modern scientific cosmology), that Christian monotheism vindicates the sense of purpose destroyed by materialist theories of evolution, and that Christian monotheism secures firm ethical guidelines against fearful abuses of scientific know-how."--BOOK JACKET.

Formats: EPUB

ID: 6878

ID: 6878

Are you a thinker, a doer, or a lover? In
Three Irish Saints: A Guide to Finding Your Spiritual Style, Dr. Kevin
Vost mines ancient and modern sources to reveal what Saints Kevin of
Glendalough, Patrick of Ireland, and Brigid of Kildare can teach us
about the joys of contemplation, evangelization, and charitable living.
Thinking, doing, and loving!Included is a a simple self-test to find out
which spiritual master you are most like. Would you rather: plop down
in your easy chair and enjoy a good book? Celebrate life and the company
of others? Engage in long conversations with your close friends? Vost
examines the lives of these three great saints, unearthing the gifts and
virtues that made one a thinker, one a doer, and one a lover. So which
one are you? Read the book. Take the test. And find out.

TAGS: 20th century Church history, Catholic Church, Church councils, praeparatoria, preparatory commissions, Second Vatican Council (1962-65), Vatican II

Formats: PDF

ID: 6875

Formats: PDF

ID: 6875

TAGS: 20th century Church history, Catholic Church, Church councils, praeparatoria, preparatory commissions, Second Vatican Council (1962-65), Vatican II

Formats: PDF

ID: 6876

Formats: PDF

ID: 6876

TAGS: 20th century Church history, Catholic Church, Church councils, praeparatoria, preparatory commissions, Second Vatican Council (1962-65), Vatican II

Formats: PDF

ID: 6877

*De statibus perfectionis adquirendae* (PDF pp. 333ff.) on religious perfection (cf. *Sel de la terre* n° 97 p. 47)

Formats: PDF

ID: 6877