Gene B. Chase29 March 2001
“Thank you for not using 666 in your papers”
Three Approaches to Integration Incarnational Approach: Who am I? Incompleteness Approach: What do I not know? Imago Dei: What do I know?
I. Incarnational: Who am I? Lynn Arthur Steen. “The Science of Patterns.” Science, 240, 29 April 1988, pp. 611-616.“I am a scientist, and I am a Christian. The integration takes place in me, not in the subject matter.”
Apply this to Computer Science? In the CS workplace, I will model virtue.In worship I will praise God for the beauty that I see in CS.
Lutheran View Dr. Richard Hughes, President of California Lutheran University: “The Lutheran vision never seeks to superimpose the kingdom of God onto the world . . . Lutherans seek to bring the world and the kingdom of God into dialogue.”
Lutheran View At Lutheran Valparaiso University one department chair said: “Show us what Lutheran economics is and we'll see if we can find a Lutheran economist who can teach it.”
Advantage: It addresses the “so what” question. Disadvantage: It doesn’t seem to be pursuing integration, just letting it happen.
II. Incompleteness: What don’t we know? Gödel’s Incompleteness Theorem (1931): For any mathematical system S strong enough to do addition and multiplication of integers, the consistency of that system, Con(S), cannot be proven within the system.
Gödel Numbering g(x)=2, g(y)=3, g(()=5, g())=7, g(+)=11, g(*)=13, g(0)=17, g(1)=19, g(2)=23, ...g(x*(y+21))= 2g(x)3g(*)5g(()7g(y)11g(+)13g(2)17g(1)g(statements)= 2g(st1)3g(st2)5g(st3)7g(st4)11g(st5)3g(st6)
Incompleteness Results J. R. Lucas: Gödel’s Incompleteness Theorem suggests that humanity is not the measure of its own meaning. Chase: “Skolem’s Paradox and the Predestination/Free-Will Discussion” Chase: “What Does a Computer Program Mean?”
Incompleteness in CS Alan Turing (1937). The Halting Problem: No computer program U can be written which receives as input a program P and its input I, and returns true if P halts on input I, but returns false if P loops infinitely on input I. Kurt Gödel (1956). P=NP?
Is P=NP? P=solved in polynomial time. NP=checked for correctness in polynomial time. Optimists: P=NP, or maybe PNP. Pessimists: P=NP can’t be known. Ecc. 3:11: God “has also set eternity in the hearts of men; yet they cannot fathom what God has done from beginning to end.” - 10000 =
Advantage & Disadvantage Advantage: A sense of humility, awe, and mystery before a great God. Disadvantage: This view has a “god of the gaps” feel to it.
Calvinist View Creation mandate: To “subdue the earth” (Gen. 1:28) The Fall affected our ability to reason, not just our ability to be moral.
III. Imago Dei: What do we know? Parables. Donald MacKay. The Clockwork Image, IV Press 1974. A marquee of flashing lights: Physics explanation. Information-processing explanation.
III. Imago Dei: What do we know?
Complementarity Information-processing complements Physics “Complementarity as a Christian Philosophy of Mathematics”
Deciding on a Career
Roger Penrose
Big Ideas of CS Abstraction Virtuality Global versus local Parallelism Time/space tradeoff ...
Analogies in CS
Parables as Analogies
Social Relationships About God in Jesus’ Parables Father / MotherFriendHusband
C. S. Lewis The metaphor is backwards: It is not God who is like our earthly fathers; it is our earthly fathers who should strive to be like Father. Similarly, CS is not the reality and our faith the metaphor; our relationship with God is the reality and CS can only provide metaphors.
Advantage & Disadvantage Advantage: We are at home in the universe. Disadvantage: Multiple perspectives can too easily lead to relativism.
Anabaptist View Love more important than doctrine (John 13:36) “We see a poor relfection in a mirror” (I Cor. 13:12)
Anglican View
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